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131044251011430 = 23515144964427819
BaseRepresentation
bin11101110010111100011110…
…000010000000100101100110
3122011222201010011112000011010
4131302330132002000211212
5114134012111224331210
61142412521533123050
736413430462641601
oct3562743602004546
9564881104460133
10131044251011430
1138833611419a49
1212845306629486
13581755c52c853
14245080b5c7338
151023b65b00920
hex772f1e080966

131044251011430 has 64 divisors (see below), whose sum is σ = 317294127936000. Its totient is φ = 34636394956800.

The previous prime is 131044251011419. The next prime is 131044251011437. The reversal of 131044251011430 is 34110152440131.

It is a happy number.

It is a super-3 number, since 3×1310442510114303 (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131044251011437) 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, 30179940 + ... + 34247879.

It is an arithmetic number, because the mean of its divisors is an integer number (4957720749000).

Almost surely, 2131044251011430 is an apocalyptic number.

131044251011430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

131044251011430 is an abundant number, since it is smaller than the sum of its proper divisors (186249876924570).

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

131044251011430 is a wasteful number, since it uses less digits than its factorization.

131044251011430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64428429.

The product of its (nonzero) digits is 5760, while the sum is 30.

The spelling of 131044251011430 in words is "one hundred thirty-one trillion, forty-four billion, two hundred fifty-one million, eleven thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 151 302 449 453 755 898 906 1347 1510 2245 2265 2694 4490 4530 6735 13470 67799 135598 203397 338995 406794 677990 1016985 2033970 64427819 128855638 193283457 322139095 386566914 644278190 966417285 1932834570 9728600669 19457201338 28928090731 29185802007 48643003345 57856181462 58371604014 86784272193 97286006690 144640453655 145929010035 173568544386 289280907310 291858020070 433921360965 867842721930 4368141700381 8736283400762 13104425101143 21840708501905 26208850202286 43681417003810 65522125505715 131044251011430