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112004130332232 = 23332934028343933
BaseRepresentation
bin11001011101110111111110…
…011001101101111001001000
3112200120111020102100020202000
4121131313332121231321020
5104140033424331112412
61034113553120111000
732410013522334555
oct3135677631557110
9480514212306660
10112004130332232
11327627596a3796
121068b198765460
134a65c3745aca8
141d9305918da2c
15ce374010c4dc
hex65ddfe66de48

112004130332232 has 128 divisors (see below), whose sum is σ = 312199291958400. Its totient is φ = 37205517355776.

The previous prime is 112004130332231. The next prime is 112004130332267. The reversal of 112004130332232 is 232233031400211.

112004130332232 is a `hidden beast` number, since 1 + 1 + 2 + 0 + 0 + 4 + 1 + 303 + 322 + 32 = 666.

It is a super-2 number, since 2×1120041303322322 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 112004130332196 and 112004130332205.

It is not an unprimeable number, because it can be changed into a prime (112004130332231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2549408538 + ... + 2549452470.

It is an arithmetic number, because the mean of its divisors is an integer number (2439056968425).

Almost surely, 2112004130332232 is an apocalyptic number.

112004130332232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112004130332232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156099645979200).

112004130332232 is an abundant number, since it is smaller than the sum of its proper divisors (200195161626168).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

112004130332232 is a wasteful number, since it uses less digits than its factorization.

112004130332232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84524 (or 84514 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 112004130332232 its reverse (232233031400211), we get a palindrome (344237161732443).

The spelling of 112004130332232 in words is "one hundred twelve trillion, four billion, one hundred thirty million, three hundred thirty-two thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 293 586 879 1172 1758 2344 2637 3516 5274 7032 7911 10548 15822 21096 31644 40283 43933 63288 80566 87866 120849 131799 161132 175732 241698 263598 322264 351464 362547 395397 483396 527196 725094 790794 966792 1054392 1087641 1186191 1450188 1581588 2175282 2372382 2900376 3163176 4350564 4744764 8701128 9489528 11802919 12872369 23605838 25744738 35408757 38617107 47211676 51489476 70817514 77234214 94423352 102978952 106226271 115851321 141635028 154468428 212452542 231702642 283270056 308936856 318678813 347553963 424905084 463405284 637357626 695107926 849810168 926810568 1274715252 1390215852 1769753039 2549430504 2780431704 3539506078 5309259117 7079012156 10618518234 14158024312 15927777351 21237036468 31855554702 42474072936 47783332053 63711109404 95566664106 127422218808 191133328212 382266656424 518537640427 1037075280854 1555612921281 2074150561708 3111225842562 4148301123416 4666838763843 6222451685124 9333677527686 12444903370248 14000516291529 18667355055372 28001032583058 37334710110744 56002065166116 112004130332232