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1312001140 = 225617106321
BaseRepresentation
bin100111000110011…
…1000110001110100
310101102202120012211
41032030320301310
510141333014030
6334104423204
744340553132
oct11614706164
93342676184
101312001140
1161365496a
12307477b04
1317ba7a648
14c6366752
157a2b112a
hex4e338c74

1312001140 has 24 divisors (see below), whose sum is σ = 2759693832. Its totient is φ = 523944960.

The previous prime is 1312001137. The next prime is 1312001149. The reversal of 1312001140 is 411002131.

It can be written as a sum of positive squares in 4 ways, for example, as 157904356 + 1154096784 = 12566^2 + 33972^2 .

It is a super-2 number, since 2×13120011402 = 3442693982722599200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1312001140.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1312001149) 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, 40821 + ... + 65500.

It is an arithmetic number, because the mean of its divisors is an integer number (114987243).

Almost surely, 21312001140 is an apocalyptic number.

1312001140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1312001140 is an abundant number, since it is smaller than the sum of its proper divisors (1447692692).

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

1312001140 is a wasteful number, since it uses less digits than its factorization.

1312001140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106947 (or 106945 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

The square root of 1312001140 is about 36221.5562890387. The cubic root of 1312001140 is about 1094.7410520339.

Adding to 1312001140 its reverse (411002131), we get a palindrome (1723003271).

Subtracting from 1312001140 its reverse (411002131), we obtain a palindrome (900999009).

The spelling of 1312001140 in words is "one billion, three hundred twelve million, one thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 617 1234 2468 3085 6170 12340 106321 212642 425284 531605 1063210 2126420 65600057 131200114 262400228 328000285 656000570 1312001140