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231312032112 = 24374331151479
BaseRepresentation
bin1101011101101101000…
…1011000000101110000
3211010001112101201120110
43113123101120011300
512242211340011422
6254132511341320
722466061555240
oct3273321300560
9733045351513
10231312032112
118a10a680397
12389b5b21840
1318a74472a25
14b2a489db20
15603c36860c
hex35db458170

231312032112 has 160 divisors (see below), whose sum is σ = 701063700480. Its totient is φ = 64343381760.

The previous prime is 231312032089. The next prime is 231312032113. The reversal of 231312032112 is 211230213132.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231312032113) 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, 4467589 + ... + 4519067.

It is an arithmetic number, because the mean of its divisors is an integer number (4381648128).

Almost surely, 2231312032112 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 231312032112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350531850240).

231312032112 is an abundant number, since it is smaller than the sum of its proper divisors (469751668368).

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

231312032112 is a wasteful number, since it uses less digits than its factorization.

231312032112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51851 (or 51845 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 231312032112 its reverse (211230213132), we get a palindrome (442542245244).

The spelling of 231312032112 in words is "two hundred thirty-one billion, three hundred twelve million, thirty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 43 48 56 84 86 112 129 168 172 258 301 311 336 344 516 602 622 688 903 933 1032 1204 1244 1806 1866 2064 2177 2408 2488 3612 3732 4354 4816 4976 6531 7224 7464 8708 13062 13373 14448 14928 17416 26124 26746 34832 40119 51479 52248 53492 80238 93611 102958 104496 106984 154437 160476 187222 205916 213968 280833 308874 320952 360353 374444 411832 561666 617748 641904 720706 748888 823664 1081059 1123332 1235496 1441412 1497776 2162118 2213597 2246664 2470992 2882824 4324236 4427194 4493328 5765648 6640791 8648472 8854388 13281582 15495179 16009969 17296944 17708776 26563164 30990358 32019938 35417552 46485537 48029907 53126328 61980716 64039876 92971074 96059814 106252656 112069783 123961432 128079752 185942148 192119628 224139566 247922864 256159504 336209349 371884296 384239256 448279132 672418698 688428667 743768592 768478512 896558264 1344837396 1376857334 1793116528 2065286001 2689674792 2753714668 4130572002 4819000669 5379349584 5507429336 8261144004 9638001338 11014858672 14457002007 16522288008 19276002676 28914004014 33044576016 38552005352 57828008028 77104010704 115656016056 231312032112