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1312133022 = 232605312043
BaseRepresentation
bin100111000110101…
…1000111110011110
310101110000021010100
41032031120332132
510141401224042
6334111321530
744341642464
oct11615307636
93343007110
101312133022
11613734a62
123075202a6
1317bac5695
14c639c834
157a2da24c
hex4e358f9e

1312133022 has 24 divisors (see below), whose sum is σ = 2843660664. Its totient is φ = 437269104.

The previous prime is 1312132999. The next prime is 1312133023. The reversal of 1312133022 is 2203312131.

1312133022 is a `hidden beast` number, since 1 + 312 + 1 + 330 + 22 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1312132986 and 1312133004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1312133023) 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, 102933 + ... + 114975.

It is an arithmetic number, because the mean of its divisors is an integer number (118485861).

Almost surely, 21312133022 is an apocalyptic number.

1312133022 is an abundant number, since it is smaller than the sum of its proper divisors (1531527642).

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

1312133022 is a wasteful number, since it uses less digits than its factorization.

1312133022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18104 (or 18101 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 1312133022 is about 36223.3767338165. The cubic root of 1312133022 is about 1094.7777318298. Note that the first 4 decimals are identical.

Adding to 1312133022 its reverse (2203312131), we get a palindrome (3515445153).

The spelling of 1312133022 in words is "one billion, three hundred twelve million, one hundred thirty-three thousand, twenty-two".

Divisors: 1 2 3 6 9 18 6053 12043 12106 18159 24086 36129 36318 54477 72258 108387 108954 216774 72896279 145792558 218688837 437377674 656066511 1312133022