Search a number
-
+
13131210012 = 2231415377317
BaseRepresentation
bin11000011101010111…
…00101110100011100
31020220010200120202120
430032223211310130
5203343042210022
610010555222540
7643255305054
oct141653456434
936803616676
1013131210012
115629253488
122665747a50
13131362216b
148c7d62564
1551cc1dd5c
hex30eae5d1c

13131210012 has 24 divisors (see below), whose sum is σ = 30642051216. Its totient is φ = 4376704128.

The previous prime is 13131209981. The next prime is 13131210013. The reversal of 13131210012 is 21001213131.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 13131209973 and 13131210000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13131210013) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 131178 + ... + 208494.

It is an arithmetic number, because the mean of its divisors is an integer number (1276752134).

Almost surely, 213131210012 is an apocalyptic number.

13131210012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13131210012 is an abundant number, since it is smaller than the sum of its proper divisors (17510841204).

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

13131210012 is a wasteful number, since it uses less digits than its factorization.

13131210012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91477 (or 91475 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 13131210012 its reverse (21001213131), we get a palindrome (34132423143).

It can be divided in two parts, 13131 and 210012, that multiplied together give a palindrome (2757667572).

The spelling of 13131210012 in words is "thirteen billion, one hundred thirty-one million, two hundred ten thousand, twelve".

Divisors: 1 2 3 4 6 12 14153 28306 42459 56612 77317 84918 154634 169836 231951 309268 463902 927804 1094267501 2188535002 3282802503 4377070004 6565605006 13131210012