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15013131013 = 37367759453
BaseRepresentation
bin11011111101101101…
…00011001100000101
31102202021212002001101
431332312203030011
5221221330143023
610521423300101
71041016336156
oct157666431405
942667762041
1015013131013
1164045805a1
122aaba4a631
131553495a9a
14a25c8192d
155cd05a1ad
hex37eda3305

15013131013 has 8 divisors (see below), whose sum is σ = 15075869688. Its totient is φ = 14950513344.

The previous prime is 15013130969. The next prime is 15013131031. The reversal of 15013131013 is 31013131051.

It can be written as a sum of positive squares in 4 ways, for example, as 9824377924 + 5188753089 = 99118^2 + 72033^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 15013131013 - 217 = 15012999941 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15013131053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 222795 + ... + 282247.

It is an arithmetic number, because the mean of its divisors is an integer number (1884483711).

Almost surely, 215013131013 is an apocalyptic number.

It is an amenable number.

15013131013 is a deficient number, since it is larger than the sum of its proper divisors (62738675).

15013131013 is an equidigital number, since it uses as much as digits as its factorization.

15013131013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60503.

The product of its (nonzero) digits is 135, while the sum is 19.

Adding to 15013131013 its reverse (31013131051), we get a palindrome (46026262064).

The spelling of 15013131013 in words is "fifteen billion, thirteen million, one hundred thirty-one thousand, thirteen".

Divisors: 1 373 677 59453 252521 22175969 40249681 15013131013