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232203013013112 = 233296715803315097
BaseRepresentation
bin110100110010111111111010…
…000110110011111001111000
31010110011101120012222021111020
4310302333322012303321320
5220413403232312404422
62141504331435102440
766624054061450641
oct6462777206637170
91113141505867436
10232203013013112
1167a94821364769
12220625bb2a1a20
139c7485b57104b
14414a985b746c8
151bca1eea7e95c
hexd32ffa1b3e78

232203013013112 has 128 divisors (see below), whose sum is σ = 609528596140800. Its totient is φ = 73611709129728.

The previous prime is 232203013013107. The next prime is 232203013013129. The reversal of 232203013013112 is 211310310302232.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

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, 736767948 + ... + 737083044.

It is an arithmetic number, because the mean of its divisors is an integer number (4761942157350).

Almost surely, 2232203013013112 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 232203013013112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304764298070400).

232203013013112 is an abundant number, since it is smaller than the sum of its proper divisors (377325583127688).

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

232203013013112 is a wasteful number, since it uses less digits than its factorization.

232203013013112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331005 (or 331001 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 232203013013112 its reverse (211310310302232), we get a palindrome (443513323315344).

The spelling of 232203013013112 in words is "two hundred thirty-two trillion, two hundred three billion, thirteen million, thirteen thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 29 58 67 87 116 134 174 201 232 268 348 402 536 696 804 1608 1943 3886 5829 7772 11658 15544 15803 23316 31606 46632 47409 63212 94818 126424 189636 315097 379272 458287 630194 916574 945291 1058801 1260388 1374861 1833148 1890582 2117602 2520776 2749722 3176403 3666296 3781164 4235204 5499444 6352806 7562328 8470408 9137813 10998888 12705612 18275626 21111499 25411224 27413439 30705229 36551252 42222998 54826878 61410458 63334497 73102504 84445996 92115687 109653756 122820916 126668994 168891992 184231374 219307512 245641832 253337988 368462748 506675976 612233471 736925496 1224466942 1836700413 2448933884 3673400826 4897867768 4979477891 7346801652 9958955782 14693603304 14938433673 19917911564 29876867346 39835823128 59753734692 119507469384 144404858839 288809717678 333625018697 433214576517 577619435356 667250037394 866429153034 1000875056091 1155238870712 1334500074788 1732858306068 2001750112182 2669000149576 3465716612136 4003500224364 8007000448728 9675125542213 19350251084426 29025376626639 38700502168852 58050753253278 77401004337704 116101506506556 232203013013112