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23131413132 = 2234314472431
BaseRepresentation
bin10101100010101111…
…010101101010001100
32012201001211112111220
4111202233111222030
5334333120210012
614343150243340
71446134524152
oct254257255214
965631745456
1023131413132
1198a0097063
1245967b6550
132248380c09
1411961393d2
15905b1c08c
hex562bd5a8c

23131413132 has 24 divisors (see below), whose sum is σ = 54098537472. Its totient is φ = 7692579600.

The previous prime is 23131413119. The next prime is 23131413133.

23131413132 is nontrivially palindromic in base 10.

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

It is not an unprimeable number, because it can be changed into a prime (23131413133) 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, 2231044 + ... + 2241387.

It is an arithmetic number, because the mean of its divisors is an integer number (2254105728).

Almost surely, 223131413132 is an apocalyptic number.

It is an amenable number.

23131413132 is an abundant number, since it is smaller than the sum of its proper divisors (30967124340).

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

23131413132 is a wasteful number, since it uses less digits than its factorization.

23131413132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4472869 (or 4472867 counting only the distinct ones).

The product of its digits is 1296, while the sum is 24.

The spelling of 23131413132 in words is "twenty-three billion, one hundred thirty-one million, four hundred thirteen thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 431 862 1293 1724 2586 5172 4472431 8944862 13417293 17889724 26834586 53669172 1927617761 3855235522 5782853283 7710471044 11565706566 23131413132