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1312133112 = 233218224071
BaseRepresentation
bin100111000110101…
…1000111111111000
310101110000021020200
41032031120333320
510141401224422
6334111322200
744341642653
oct11615307770
93343007220
101312133112
11613735034
12307520360
1317bac5734
14c639c89a
157a2da2ac
hex4e358ff8

1312133112 has 24 divisors (see below), whose sum is σ = 3553694040. Its totient is φ = 437377680.

The previous prime is 1312133107. The next prime is 1312133143. The reversal of 1312133112 is 2113312131.

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

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

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

It is a congruent number.

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, 9111964 + ... + 9112107.

It is an arithmetic number, because the mean of its divisors is an integer number (148070585).

Almost surely, 21312133112 is an apocalyptic number.

1312133112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1312133112 is an abundant number, since it is smaller than the sum of its proper divisors (2241560928).

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

1312133112 is a wasteful number, since it uses less digits than its factorization.

1312133112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18224083 (or 18224076 counting only the distinct ones).

The product of its digits is 108, while the sum is 18.

The square root of 1312133112 is about 36223.3779761082. The cubic root of 1312133112 is about 1094.7777568603. Note that the first 4 decimals are identical.

Adding to 1312133112 its reverse (2113312131), we get a palindrome (3425445243).

The spelling of 1312133112 in words is "one billion, three hundred twelve million, one hundred thirty-three thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 18224071 36448142 54672213 72896284 109344426 145792568 164016639 218688852 328033278 437377704 656066556 1312133112