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131213100010112 = 2723317140598319
BaseRepresentation
bin11101110101011001101110…
…001101110100101010000000
3122012120211221112200212021222
4131311121232031310222000
5114144243412100310422
61143022244353134212
736431555636516021
oct3565315615645200
9565524845625258
10131213100010112
113889918826785a
1212871b8985a368
13582a45ab89b63
142458a68446c48
15102824938d842
hex77566e374a80

131213100010112 has 64 divisors (see below), whose sum is σ = 273626826451200. Its totient is φ = 62556128431104.

The previous prime is 131213100010099. The next prime is 131213100010177. The reversal of 131213100010112 is 211010001312131.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×1312131000101122 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 69365912 + ... + 71232407.

It is an arithmetic number, because the mean of its divisors is an integer number (4275419163300).

Almost surely, 2131213100010112 is an apocalyptic number.

It is an amenable number.

131213100010112 is an abundant number, since it is smaller than the sum of its proper divisors (142413726441088).

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

131213100010112 is a wasteful number, since it uses less digits than its factorization.

131213100010112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140598673 (or 140598661 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 17.

Adding to 131213100010112 its reverse (211010001312131), we get a palindrome (342223101322243).

The spelling of 131213100010112 in words is "one hundred thirty-one trillion, two hundred thirteen billion, one hundred million, ten thousand, one hundred twelve".

Divisors: 1 2 4 8 16 23 32 46 64 92 128 184 317 368 634 736 1268 1472 2536 2944 5072 7291 10144 14582 20288 29164 40576 58328 116656 233312 466624 933248 140598319 281196638 562393276 1124786552 2249573104 3233761337 4499146208 6467522674 8998292416 12935045348 17996584832 25870090696 44569667123 51740181392 89139334246 103480362784 178278668492 206960725568 356557336984 413921451136 713114673968 1025102343829 1426229347936 2050204687658 2852458695872 4100409375316 5704917391744 8200818750632 16401637501264 32803275002528 65606550005056 131213100010112