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131297545782 = 233131711001973
BaseRepresentation
bin111101001000111110…
…0011000111000110110
3110112220100111101211000
41322101330120320312
54122344132431112
6140152310024130
712325450503444
oct1722174307066
9415810441730
10131297545782
1150757050517
1221543348046
13c4c59606c0
1464d794bb94
153636c1b7dc
hex1e91f18e36

131297545782 has 64 divisors (see below), whose sum is σ = 332699693760. Its totient is φ = 38022815232.

The previous prime is 131297545777. The next prime is 131297545789. The reversal of 131297545782 is 287545792131.

131297545782 is a `hidden beast` number, since 1 + 3 + 1 + 2 + 97 + 545 + 7 + 8 + 2 = 666.

It is a super-3 number, since 3×1312975457823 (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131297545789) 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, 5489053 + ... + 5512920.

It is an arithmetic number, because the mean of its divisors is an integer number (5198432715).

Almost surely, 2131297545782 is an apocalyptic number.

131297545782 is an abundant number, since it is smaller than the sum of its proper divisors (201402147978).

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

131297545782 is a wasteful number, since it uses less digits than its factorization.

131297545782 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11002014 (or 11002008 counting only the distinct ones).

The product of its digits is 4233600, while the sum is 54.

The spelling of 131297545782 in words is "one hundred thirty-one billion, two hundred ninety-seven million, five hundred forty-five thousand, seven hundred eighty-two".

Divisors: 1 2 3 6 9 13 17 18 26 27 34 39 51 54 78 102 117 153 221 234 306 351 442 459 663 702 918 1326 1989 3978 5967 11934 11001973 22003946 33005919 66011838 99017757 143025649 187033541 198035514 286051298 297053271 374067082 429076947 561100623 594106542 858153894 1122201246 1287230841 1683301869 2431436033 2574461682 3366603738 3861692523 4862872066 5049905607 7294308099 7723385046 10099811214 14588616198 21882924297 43765848594 65648772891 131297545782