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13230111132 = 2233728273023
BaseRepresentation
bin11000101001001001…
…10111100110011100
31021011000210021121000
430110210313212130
5204043402024012
610024451110300
7645566042400
oct142444674634
937130707530
1013230111132
11567a064347
1226928a2390
13132ac6c734
148d7149100
15526757ddc
hex31493799c

13230111132 has 144 divisors (see below), whose sum is σ = 39961797120. Its totient is φ = 3774212064.

The previous prime is 13230111131. The next prime is 13230111133. The reversal of 13230111132 is 23111103231.

13230111132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13230111131) and next prime (13230111133).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13230111131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4374973 + ... + 4377995.

It is an arithmetic number, because the mean of its divisors is an integer number (277512480).

Almost surely, 213230111132 is an apocalyptic number.

13230111132 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 13230111132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19980898560).

13230111132 is an abundant number, since it is smaller than the sum of its proper divisors (26731685988).

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

13230111132 is a wasteful number, since it uses less digits than its factorization.

13230111132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3877 (or 3862 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 13230111132 its reverse (23111103231), we get a palindrome (36341214363).

The spelling of 13230111132 in words is "thirteen billion, two hundred thirty million, one hundred eleven thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 84 98 108 126 147 189 196 252 294 378 441 588 756 827 882 1323 1654 1764 2481 2646 3023 3308 4962 5292 5789 6046 7443 9069 9924 11578 12092 14886 17367 18138 21161 22329 23156 27207 29772 34734 36276 40523 42322 44658 52101 54414 63483 69468 81046 81621 84644 89316 104202 108828 121569 126966 148127 156303 162092 163242 190449 208404 243138 253932 296254 312606 326484 364707 380898 444381 486276 571347 592508 625212 729414 761796 888762 1094121 1142694 1333143 1458828 1777524 2188242 2285388 2500021 2666286 3999429 4376484 5000042 5332572 7500063 7998858 10000084 15000126 15997716 17500147 22500189 30000252 35000294 45000378 52500441 67500567 70000588 90000756 105000882 122501029 135001134 157501323 210001764 245002058 270002268 315002646 367503087 472503969 490004116 630005292 735006174 945007938 1102509261 1470012348 1890015876 2205018522 3307527783 4410037044 6615055566 13230111132