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131022013153512 = 233132389753203429
BaseRepresentation
bin11101110010100111110000…
…100011010100000011101000
3122011220120201101001202221210
4131302213300203110003220
5114133131040331403022
61142354403142433120
736412012425161565
oct3562476043240350
9564816641052853
10131022013153512
113882513a763178
1212840b3b1327a0
135815427329a40
14244d6dc00b86c
1510232b368aa0c
hex7729f08d40e8

131022013153512 has 128 divisors (see below), whose sum is σ = 368094509395200. Its totient is φ = 38561043535872.

The previous prime is 131022013153481. The next prime is 131022013153547. The reversal of 131022013153512 is 215351310220131.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 131022013153512.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 643965814 + ... + 644169242.

It is an arithmetic number, because the mean of its divisors is an integer number (2875738354650).

Almost surely, 2131022013153512 is an apocalyptic number.

131022013153512 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131022013153512 is an abundant number, since it is smaller than the sum of its proper divisors (237072496241688).

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

131022013153512 is a wasteful number, since it uses less digits than its factorization.

131022013153512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293227 (or 293223 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 30.

Adding to 131022013153512 its reverse (215351310220131), we get a palindrome (346373323373643).

The spelling of 131022013153512 in words is "one hundred thirty-one trillion, twenty-two billion, thirteen million, one hundred fifty-three thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 23 24 26 39 46 52 69 78 92 104 138 156 184 276 299 312 552 598 897 1196 1794 2392 3588 7176 89753 179506 203429 269259 359012 406858 538518 610287 718024 813716 1077036 1166789 1220574 1627432 2064319 2154072 2333578 2441148 2644577 3500367 4128638 4667156 4678867 4882296 5289154 6192957 7000734 7933731 8257276 9334312 9357734 10578308 12385914 14001468 14036601 15867462 16514552 18715468 21156616 24771828 26836147 28002936 28073202 31734924 37430936 49543656 53672294 56146404 60825271 63469848 80508441 107344588 112292808 121650542 161016882 182475813 214689176 243301084 322033764 364951626 486602168 644067528 729903252 1459806504 18258363037 36516726074 54775089111 73033452148 109550178222 146066904296 219100356444 237358719481 419942349851 438200712888 474717438962 712076158443 839884699702 949434877924 1259827049553 1424152316886 1679769399404 1898869755848 2519654099106 2848304633772 3359538798808 5039308198212 5459250548063 5696609267544 10078616396424 10918501096126 16377751644189 21837002192252 32755503288378 43674004384504 65511006576756 131022013153512