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2131131201232 = 2411171494780379
BaseRepresentation
bin11111000000110001010…
…100010111011011010000
321112201211012100001221211
4133000301110113123100
5234404024041414412
64311010025425504
7306653263216135
oct37006124273320
97481735301854
102131131201232
11751898006170
122a503b63b294
13125c708c2537
147520c29a58c
153a6802dbca7
hex1f0315176d0

2131131201232 has 80 divisors (see below), whose sum is σ = 4801413672000. Its totient is φ = 905594808320.

The previous prime is 2131131201217. The next prime is 2131131201233. The reversal of 2131131201232 is 2321021311312.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2131131201233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1944382 + ... + 2835997.

It is an arithmetic number, because the mean of its divisors is an integer number (60017670900).

Almost surely, 22131131201232 is an apocalyptic number.

2131131201232 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2131131201232 is an abundant number, since it is smaller than the sum of its proper divisors (2670282470768).

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

2131131201232 is a wasteful number, since it uses less digits than its factorization.

2131131201232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4780564 (or 4780558 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 2131131201232 its reverse (2321021311312), we get a palindrome (4452152512544).

The spelling of 2131131201232 in words is "two trillion, one hundred thirty-one billion, one hundred thirty-one million, two hundred one thousand, two hundred thirty-two".

Divisors: 1 2 4 8 11 16 17 22 34 44 68 88 136 149 176 187 272 298 374 596 748 1192 1496 1639 2384 2533 2992 3278 5066 6556 10132 13112 20264 26224 27863 40528 55726 111452 222904 445808 4780379 9560758 19121516 38243032 52584169 76486064 81266443 105168338 162532886 210336676 325065772 420673352 650131544 712276471 841346704 893930873 1300263088 1424552942 1787861746 2849105884 3575723492 5698211768 7151446984 7835041181 11396423536 12108700007 14302893968 15670082362 24217400014 31340164724 48434800028 62680329448 96869600056 125360658896 133195700077 193739200112 266391400154 532782800308 1065565600616 2131131201232