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13015145412 = 2232361531817
BaseRepresentation
bin11000001111100001…
…10101101111000100
31020121001021220001200
430013300311233010
5203123334123122
65551251422500
7640345624233
oct140760655704
936531256050
1013015145412
11557978a425
1226328b4a30
1312c5575599
148b678cb1a
155129445ac
hex307c35bc4

13015145412 has 18 divisors (see below), whose sum is σ = 32899395438. Its totient is φ = 4338381792.

The previous prime is 13015145371. The next prime is 13015145417. The reversal of 13015145412 is 21454151031.

13015145412 is a `hidden beast` number, since 130 + 1 + 514 + 5 + 4 + 12 = 666.

13015145412 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 9948865536 + 3066279876 = 99744^2 + 55374^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is not an unprimeable number, because it can be changed into a prime (13015145417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 180765873 + ... + 180765944.

It is an arithmetic number, because the mean of its divisors is an integer number (1827744191).

Almost surely, 213015145412 is an apocalyptic number.

13015145412 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13015145412 is an abundant number, since it is smaller than the sum of its proper divisors (19884250026).

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

13015145412 is a wasteful number, since it uses less digits than its factorization.

13015145412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361531827 (or 361531822 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

Adding to 13015145412 its reverse (21454151031), we get a palindrome (34469296443).

The spelling of 13015145412 in words is "thirteen billion, fifteen million, one hundred forty-five thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 361531817 723063634 1084595451 1446127268 2169190902 3253786353 4338381804 6507572706 13015145412