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132101132231031 = 31129358391088267
BaseRepresentation
bin11110000010010100110001…
…000011111010000101110111
3122022201202010000222202222020
4132002110301003322011313
5114303321104322343111
61144542231121404223
736552664130041245
oct3602246103720567
9568652100882866
10132101132231031
1139100859303037
1212996101a99673
135893111083282
142489a2c1db795
1510413c0db1906
hex7825310fa177

132101132231031 has 16 divisors (see below), whose sum is σ = 176295933542400. Its totient is φ = 87986880704448.

The previous prime is 132101132231021. The next prime is 132101132231051. The reversal of 132101132231031 is 130132231101231.

It is not a de Polignac number, because 132101132231031 - 221 = 132101130133879 is a prime.

It is a super-2 number, since 2×1321011322310312 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 132101132230992 and 132101132231010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132101132231021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 120842560 + ... + 121930826.

It is an arithmetic number, because the mean of its divisors is an integer number (11018495846400).

Almost surely, 2132101132231031 is an apocalyptic number.

132101132231031 is a deficient number, since it is larger than the sum of its proper divisors (44194801311369).

132101132231031 is a wasteful number, since it uses less digits than its factorization.

132101132231031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1125238.

The product of its (nonzero) digits is 648, while the sum is 24.

Adding to 132101132231031 its reverse (130132231101231), we get a palindrome (262233363332262).

The spelling of 132101132231031 in words is "one hundred thirty-two trillion, one hundred one billion, one hundred thirty-two million, two hundred thirty-one thousand, thirty-one".

Divisors: 1 3 1129 3387 35839 107517 1088267 3264801 40462231 121386693 1228653443 3685960329 39002401013 117007203039 44033710743677 132101132231031