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1313016016 = 24136312577
BaseRepresentation
bin100111001000011…
…0000100011010000
310101111200010100211
41032100300203100
510142113003031
6334142253504
744352311014
oct11620604320
93344603324
101313016016
11614188404
12307887294
1317c044570
14c654c544
157a411bb1
hex4e4308d0

1313016016 has 20 divisors (see below), whose sum is σ = 2739658852. Its totient is φ = 606007296.

The previous prime is 1313015999. The next prime is 1313016037. The reversal of 1313016016 is 6106103131.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 316982416 + 996033600 = 17804^2 + 31560^2 .

It is a super-2 number, since 2×13130160162 = 3448022116545024512, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3156081 + ... + 3156496.

Almost surely, 21313016016 is an apocalyptic number.

1313016016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1313016016 is an abundant number, since it is smaller than the sum of its proper divisors (1426642836).

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

1313016016 is a wasteful number, since it uses less digits than its factorization.

1313016016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6312598 (or 6312592 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 22.

The square root of 1313016016 is about 36235.5628630217. The cubic root of 1313016016 is about 1095.0232520100.

Adding to 1313016016 its reverse (6106103131), we get a palindrome (7419119147).

The spelling of 1313016016 in words is "one billion, three hundred thirteen million, sixteen thousand, sixteen".

Divisors: 1 2 4 8 13 16 26 52 104 208 6312577 12625154 25250308 50500616 82063501 101001232 164127002 328254004 656508008 1313016016