Search a number
-
+
13131515253 = 3109296313553
BaseRepresentation
bin11000011101011001…
…10000010101110101
31020220011021002110210
430032230300111311
5203343131442003
610011005540033
7643261016013
oct141654602565
936804232423
1013131515253
11562944184a
122665874619
1313136cb08c
148c80018b3
1551cc7e503
hex30eb30575

13131515253 has 16 divisors (see below), whose sum is σ = 17676584640. Its totient is φ = 8670461184.

The previous prime is 13131515237. The next prime is 13131515261. The reversal of 13131515253 is 35251513131.

13131515253 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13131515253 - 24 = 13131515237 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 13131515253.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13131515203) 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 15 ways as a sum of consecutive naturals, for example, 962125 + ... + 975677.

It is an arithmetic number, because the mean of its divisors is an integer number (1104786540).

Almost surely, 213131515253 is an apocalyptic number.

It is an amenable number.

13131515253 is a deficient number, since it is larger than the sum of its proper divisors (4545069387).

13131515253 is a wasteful number, since it uses less digits than its factorization.

13131515253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16628.

The product of its digits is 6750, while the sum is 30.

The spelling of 13131515253 in words is "thirteen billion, one hundred thirty-one million, five hundred fifteen thousand, two hundred fifty-three".

Divisors: 1 3 109 327 2963 8889 13553 40659 322967 968901 1477277 4431831 40157539 120472617 4377171751 13131515253