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232132123132131 = 31983283823321059
BaseRepresentation
bin110100110001111101111000…
…101111011000000011100011
31010102220121120210011012101210
4310301331320233120003203
5220411223042010212011
62141412005235001203
766615664260426045
oct6461757057300343
91112817523135353
10232132123132131
1167a67753921972
1222050916439203
139c6ac71963b01
14414737ccb7a95
151bc84512906a6
hexd31f78bd80e3

232132123132131 has 64 divisors (see below), whose sum is σ = 330945776179200. Its totient is φ = 144307181539584.

The previous prime is 232132123132079. The next prime is 232132123132141. The reversal of 232132123132131 is 131231321231232.

It is a happy number.

It is not a de Polignac number, because 232132123132131 - 210 = 232132123131107 is a prime.

It is a super-2 number, since 2×2321321231321312 (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (232132123132141) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11022930880 + ... + 11022951938.

It is an arithmetic number, because the mean of its divisors is an integer number (5171027752800).

Almost surely, 2232132123132131 is an apocalyptic number.

232132123132131 is a deficient number, since it is larger than the sum of its proper divisors (98813653047069).

232132123132131 is a wasteful number, since it uses less digits than its factorization.

232132123132131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29680.

The product of its digits is 7776, while the sum is 30.

Adding to 232132123132131 its reverse (131231321231232), we get a palindrome (363363444363363).

The spelling of 232132123132131 in words is "two hundred thirty-two trillion, one hundred thirty-two billion, one hundred twenty-three million, one hundred thirty-two thousand, one hundred thirty-one".

Divisors: 1 3 19 57 83 249 283 849 1577 4731 5377 8233 16131 21059 23489 24699 63177 70467 156427 400121 446291 469281 683339 1200363 1338873 1747897 2050017 2329939 5243691 5959697 6989817 12983441 17879091 33210043 38950323 44268841 99630129 113234243 132806523 173378747 193384937 339702729 494654851 520136241 580154811 1483964553 3294196193 3674313803 9398442169 9882588579 11022941409 14390436001 28195326507 43171308003 49066185401 147198556203 273418284019 820254852057 932257522619 2796772567857 4072493388283 12217480164849 77377374377377 232132123132131