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1312012020100 = 225242131164181
BaseRepresentation
bin10011000101111010000…
…000101010100110000100
311122102112101002022001111
4103011322000222212010
5132444000034120400
62442421402534404
7163534611110215
oct23057200524604
94572471068044
101312012020100
1146646a643731
1219233a207404
13969508aa142
1447704a1540c
15241dd76c3ba
hex1317a02a984

1312012020100 has 36 divisors (see below), whose sum is σ = 2853828802468. Its totient is φ = 523558224000.

The previous prime is 1312012020083. The next prime is 1312012020103. The reversal of 1312012020100 is 10202102131.

It can be written as a sum of positive squares in 6 ways, for example, as 134348639296 + 1177663380804 = 366536^2 + 1085202^2 .

It is a super-3 number, since 3×13120120201003 (a number of 37 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (1312012020103) 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, 15539991 + ... + 15624190.

Almost surely, 21312012020100 is an apocalyptic number.

1312012020100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1312012020100 is an abundant number, since it is smaller than the sum of its proper divisors (1541816782368).

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

1312012020100 is a wasteful number, since it uses less digits than its factorization.

1312012020100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31164616 (or 31164609 counting only the distinct ones).

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

Adding to 1312012020100 its reverse (10202102131), we get a palindrome (1322214122231).

The spelling of 1312012020100 in words is "one trillion, three hundred twelve billion, twelve million, twenty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 421 842 1684 2105 4210 8420 10525 21050 42100 31164181 62328362 124656724 155820905 311641810 623283620 779104525 1558209050 3116418100 13120120201 26240240402 52480480804 65600601005 131201202010 262402404020 328003005025 656006010050 1312012020100