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1312112520 = 2337553283
BaseRepresentation
bin100111000110101…
…0011111110001000
310101102222020000000
41032031103332020
510141400100040
6334111043000
744341525635
oct11615237610
93342866000
101312112520
11613720614
12307510460
1317bab9254
14c639518c
157a2d4130
hex4e353f88

1312112520 has 256 divisors, whose sum is σ = 4527187200. Its totient is φ = 342081792.

The previous prime is 1312112519. The next prime is 1312112531. The reversal of 1312112520 is 252112131.

1312112520 is a `hidden beast` number, since 1 + 31 + 2 + 112 + 520 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1312112493 and 1312112502.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4636299 + ... + 4636581.

It is an arithmetic number, because the mean of its divisors is an integer number (17684325).

Almost surely, 21312112520 is an apocalyptic number.

1312112520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1312112520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2263593600).

1312112520 is an abundant number, since it is smaller than the sum of its proper divisors (3215074680).

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

1312112520 is an equidigital number, since it uses as much as digits as its factorization.

1312112520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 1312112520 is about 36223.0937386635. The cubic root of 1312112520 is about 1094.7720298546.

Adding to 1312112520 its reverse (252112131), we get a palindrome (1564224651).

The spelling of 1312112520 in words is "one billion, three hundred twelve million, one hundred twelve thousand, five hundred twenty".