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1311412520 = 235112270953
BaseRepresentation
bin100111000101010…
…1001000100101000
310101101122122210002
41032022221010220
510141210200040
6334044042132
744332552055
oct11612510450
93341578702
101311412520
11613292700
12307233348
1317b902752
14c625202c
157a1e6a15
hex4e2a9128

1311412520 has 48 divisors (see below), whose sum is σ = 3243319380. Its totient is φ = 476875520.

The previous prime is 1311412493. The next prime is 1311412523. The reversal of 1311412520 is 252141131.

It can be written as a sum of positive squares in 2 ways, for example, as 1105030564 + 206381956 = 33242^2 + 14366^2 .

It is a super-2 number, since 2×13114125202 = 3439605595225500800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1311412492 and 1311412501.

It is not an unprimeable number, because it can be changed into a prime (1311412523) 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, 130637 + ... + 140316.

Almost surely, 21311412520 is an apocalyptic number.

1311412520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1311412520 is an abundant number, since it is smaller than the sum of its proper divisors (1931906860).

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

1311412520 is a wasteful number, since it uses less digits than its factorization.

1311412520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270986 (or 270971 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

The square root of 1311412520 is about 36213.4301054181. The cubic root of 1311412520 is about 1094.5773116100.

Adding to 1311412520 its reverse (252141131), we get a palindrome (1563553651).

The spelling of 1311412520 in words is "one billion, three hundred eleven million, four hundred twelve thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 121 220 242 440 484 605 968 1210 2420 4840 270953 541906 1083812 1354765 2167624 2709530 2980483 5419060 5960966 10838120 11921932 14902415 23843864 29804830 32785313 59609660 65570626 119219320 131141252 163926565 262282504 327853130 655706260 1311412520