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131021444402145 = 32511563670370139
BaseRepresentation
bin11101110010100111001110…
…101001101100101111100001
3122011220112020201212012202100
4131302213032221230233201
5114133123404231332040
61142354230504241013
736411662350651413
oct3562471651545741
9564815221765670
10131021444402145
1138824978708920
1212840a00770169
13581536655257b
14244d68667a9b3
15102327d791b30
hex7729cea6cbe1

131021444402145 has 96 divisors (see below), whose sum is σ = 248230258698240. Its totient is φ = 63402350474880.

The previous prime is 131021444402117. The next prime is 131021444402159. The reversal of 131021444402145 is 541204444120131.

131021444402145 is a `hidden beast` number, since 1 + 3 + 10 + 2 + 144 + 440 + 21 + 45 = 666.

It is not a de Polignac number, because 131021444402145 - 29 = 131021444401633 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1867990486 + ... + 1868060624.

It is an arithmetic number, because the mean of its divisors is an integer number (2585731861440).

Almost surely, 2131021444402145 is an apocalyptic number.

131021444402145 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

131021444402145 is a deficient number, since it is larger than the sum of its proper divisors (117208814296095).

131021444402145 is a wasteful number, since it uses less digits than its factorization.

131021444402145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77427 (or 77424 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

Adding to 131021444402145 its reverse (541204444120131), we get a palindrome (672225888522276).

The spelling of 131021444402145 in words is "one hundred thirty-one trillion, twenty-one billion, four hundred forty-four million, four hundred two thousand, one hundred forty-five".

Divisors: 1 3 5 9 11 15 33 45 55 99 165 495 563 1689 2815 5067 6193 6703 8445 18579 20109 25335 30965 33515 55737 60327 70139 73733 92895 100545 210417 221199 278685 301635 350695 368665 631251 663597 771529 1052085 1105995 2314587 3156255 3317985 3773789 3857645 6943761 11321367 11572935 18868945 33964101 34718805 39488257 41511679 56606835 118464771 124535037 169820505 197441285 207558395 355394313 373605111 434370827 470141717 592323855 622675185 1303112481 1410425151 1776971565 1868025555 2171854135 2350708585 3909337443 4231275453 5171558887 6515562405 7052125755 15514676661 19546687215 21156377265 25857794435 46544029983 77573383305 232720149915 264689786671 794069360013 1323448933355 2382208080039 2911587653381 3970346800065 8734762960143 11911040400195 14557938266905 26204288880429 43673814800715 131021444402145