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132313040313231 = 3115521138178607
BaseRepresentation
bin11110000101011010000111…
…110001000101101110001111
3122100111000002021102201022010
4132011122013301011232033
5114320304101310010411
61145223434355152303
736604205325031131
oct3605320761055617
9570430067381263
10132313040313231
1139182710954688
1212a0b1a15a5693
1358aa0b249311b
142495db1a11051
151046b7499b7a6
hex785687c45b8f

132313040313231 has 8 divisors (see below), whose sum is σ = 176417544419584. Its totient is φ = 88208614874520.

The previous prime is 132313040313131. The next prime is 132313040313241.

It is a happy number.

132313040313231 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 132313040313231 - 238 = 132038162406287 is a prime.

It is a super-2 number, since 2×1323130403132312 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132313040313241) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15623671 + ... + 22554936.

It is an arithmetic number, because the mean of its divisors is an integer number (22052193052448).

Almost surely, 2132313040313231 is an apocalyptic number.

132313040313231 is a deficient number, since it is larger than the sum of its proper divisors (44104504106353).

132313040313231 is a wasteful number, since it uses less digits than its factorization.

132313040313231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39333821.

The product of its (nonzero) digits is 11664, while the sum is 30.

The spelling of 132313040313231 in words is "one hundred thirty-two trillion, three hundred thirteen billion, forty million, three hundred thirteen thousand, two hundred thirty-one".

Divisors: 1 3 1155211 3465633 38178607 114535821 44104346771077 132313040313231