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2132123131332 = 2232161453366829
BaseRepresentation
bin11111000001101100011…
…100010001110111000100
321112211101022211100020200
4133001230130101313010
5234413042010200312
64311252302130500
7310016666406465
oct37015434216704
97484338740220
102132123131332
11752256a17a07
122a5277880a30
1312609b26551c
14752a3d06d6c
153a6dc4270dc
hex1f06c711dc4

2132123131332 has 36 divisors (see below), whose sum is σ = 5389581544620. Its totient is φ = 710701371072.

The previous prime is 2132123131283. The next prime is 2132123131339. The reversal of 2132123131332 is 2331313212312.

2132123131332 is a `hidden beast` number, since 2 + 1 + 3 + 2 + 12 + 313 + 1 + 332 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1295512898436 + 836610232896 = 1138206^2 + 914664^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 2132123131296 and 2132123131305.

It is not an unprimeable number, because it can be changed into a prime (2132123131339) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5628894 + ... + 5995722.

Almost surely, 22132123131332 is an apocalyptic number.

It is an amenable number.

2132123131332 is an abundant number, since it is smaller than the sum of its proper divisors (3257458413288).

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

2132123131332 is a wasteful number, since it uses less digits than its factorization.

2132123131332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 528292 (or 528287 counting only the distinct ones).

The product of its digits is 3888, while the sum is 27.

Adding to 2132123131332 its reverse (2331313212312), we get a palindrome (4463436343644).

The spelling of 2132123131332 in words is "two trillion, one hundred thirty-two billion, one hundred twenty-three million, one hundred thirty-one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 161453 322906 366829 484359 645812 733658 968718 1100487 1453077 1467316 1937436 2200974 2906154 3301461 4401948 5812308 6602922 13205844 59225642537 118451285074 177676927611 236902570148 355353855222 533030782833 710707710444 1066061565666 2132123131332