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231031231321032 = 23323208767101681
BaseRepresentation
bin110100100001111100100110…
…011110011001001111001000
31010022000100222201222201211100
4310201330212132121033020
5220240203430204233112
62135210141002501400
766443312166430122
oct6441744636311710
91108010881881740
10231031231321032
116768288212200a
1221ab3497b04860
139bbb1c819b57c
144109d851c6212
151ba99bc37e2dc
hexd21f267993c8

231031231321032 has 24 divisors (see below), whose sum is σ = 625709584827990. Its totient is φ = 77010410440320.

The previous prime is 231031231320997. The next prime is 231031231321063. The reversal of 231031231321032 is 230123132130132.

231031231321032 is a `hidden beast` number, since 2 + 3 + 1 + 0 + 312 + 313 + 2 + 1 + 0 + 32 = 666.

231031231321032 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 128776786256196 + 102254445064836 = 11347986^2 + 10112094^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a junction number, because it is equal to n+sod(n) for n = 231031231320987 and 231031231321005.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1604383550769 + ... + 1604383550912.

Almost surely, 2231031231321032 is an apocalyptic number.

It is an amenable number.

231031231321032 is an abundant number, since it is smaller than the sum of its proper divisors (394678353506958).

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

231031231321032 is a wasteful number, since it uses less digits than its factorization.

231031231321032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3208767101693 (or 3208767101686 counting only the distinct ones).

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

Adding to 231031231321032 its reverse (230123132130132), we get a palindrome (461154363451164).

The spelling of 231031231321032 in words is "two hundred thirty-one trillion, thirty-one billion, two hundred thirty-one million, three hundred twenty-one thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 3208767101681 6417534203362 9626301305043 12835068406724 19252602610086 25670136813448 28878903915129 38505205220172 57757807830258 77010410440344 115515615660516 231031231321032