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1312143012 = 223236448417
BaseRepresentation
bin100111000110101…
…1011011010100100
310101110000202211100
41032031123122210
510141402034022
6334111440100
744342013555
oct11615333244
93343022740
101312143012
11613741514
12307526030
1317baca0ab
14c63a232c
157a2dd1ac
hex4e35b6a4

1312143012 has 18 divisors (see below), whose sum is σ = 3316806038. Its totient is φ = 437380992.

The previous prime is 1312142989. The next prime is 1312143017. The reversal of 1312143012 is 2103412131.

It can be written as a sum of positive squares in only one way, i.e., 1167998976 + 144144036 = 34176^2 + 12006^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-3 number, since 3×13121430123 (a number of 28 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1312143017) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 18224173 + ... + 18224244.

Almost surely, 21312143012 is an apocalyptic number.

1312143012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1312143012 is an abundant number, since it is smaller than the sum of its proper divisors (2004663026).

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

1312143012 is a wasteful number, since it uses less digits than its factorization.

1312143012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36448427 (or 36448422 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 1312143012 is about 36223.5146279320. The cubic root of 1312143012 is about 1094.7805102071.

Adding to 1312143012 its reverse (2103412131), we get a palindrome (3415555143).

The spelling of 1312143012 in words is "one billion, three hundred twelve million, one hundred forty-three thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 36448417 72896834 109345251 145793668 218690502 328035753 437381004 656071506 1312143012