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13332004112 = 2471741672549
BaseRepresentation
bin11000110101010011…
…00011110100010000
31021102010111222111002
430122221203310100
5204300443112422
610042531041132
7651244110440
oct143251436420
937363458432
1013332004112
115721629019
122700a401a8
1313460c6a3b
149068b0120
15530683692
hex31aa63d10

13332004112 has 160 divisors (see below), whose sum is σ = 32510419200. Its totient is φ = 5166120960.

The previous prime is 13332004097. The next prime is 13332004117. The reversal of 13332004112 is 21140023331.

It is not an unprimeable number, because it can be changed into a prime (13332004117) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5229014 + ... + 5231562.

It is an arithmetic number, because the mean of its divisors is an integer number (203190120).

Almost surely, 213332004112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13332004112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16255209600).

13332004112 is an abundant number, since it is smaller than the sum of its proper divisors (19178415088).

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

13332004112 is a wasteful number, since it uses less digits than its factorization.

13332004112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2689 (or 2683 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 13332004112 its reverse (21140023331), we get a palindrome (34472027443).

The spelling of 13332004112 in words is "thirteen billion, three hundred thirty-two million, four thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 17 28 34 41 56 67 68 82 112 119 134 136 164 238 268 272 287 328 469 476 536 574 656 697 938 952 1072 1139 1148 1394 1876 1904 2278 2296 2549 2747 2788 3752 4556 4592 4879 5098 5494 5576 7504 7973 9112 9758 10196 10988 11152 15946 17843 18224 19229 19516 20392 21976 31892 35686 38458 39032 40784 43333 43952 46699 63784 71372 76916 78064 86666 93398 104509 127568 142744 153832 170783 173332 186796 209018 285488 303331 307664 326893 341566 346664 373592 418036 606662 653786 683132 693328 731563 747184 836072 1195481 1213324 1307572 1366264 1463126 1672144 1776653 2390962 2426648 2615144 2732528 2903311 2926252 3553306 4781924 4853296 5230288 5806622 5852504 7002103 7106612 9563848 11613244 11705008 12436571 14004206 14213224 19127696 20323177 23226488 24873142 28008412 28426448 40646354 46452976 49014721 49746284 56016824 81292708 98029442 99492568 112033648 119035751 162585416 196058884 198985136 238071502 325170832 392117768 476143004 784235536 833250257 952286008 1666500514 1904572016 3333001028 6666002056 13332004112