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13131210300 = 22352133366977
BaseRepresentation
bin11000011101010111…
…00101111000111100
31020220010200121011020
430032223211320330
5203343042212200
610010555224140
7643255305645
oct141653457074
936803617136
1013131210300
11562925371a
122665748050
131313622330
148c7d626cc
1551cc1dea0
hex30eae5e3c

13131210300 has 72 divisors (see below), whose sum is σ = 40915516656. Its totient is φ = 3232296960.

The previous prime is 13131210293. The next prime is 13131210311. The reversal of 13131210300 is 301213131.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 13131210300.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1679589 + ... + 1687388.

Almost surely, 213131210300 is an apocalyptic number.

13131210300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13131210300 is an abundant number, since it is smaller than the sum of its proper divisors (27784306356).

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

13131210300 is a wasteful number, since it uses less digits than its factorization.

13131210300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3367007 (or 3367000 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 13131210300 its reverse (301213131), we get a palindrome (13432423431).

The spelling of 13131210300 in words is "thirteen billion, one hundred thirty-one million, two hundred ten thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 50 52 60 65 75 78 100 130 150 156 195 260 300 325 390 650 780 975 1300 1950 3900 3366977 6733954 10100931 13467908 16834885 20201862 33669770 40403724 43770701 50504655 67339540 84174425 87541402 101009310 131312103 168348850 175082804 202018620 218853505 252523275 262624206 336697700 437707010 505046550 525248412 656560515 875414020 1010093100 1094267525 1313121030 2188535050 2626242060 3282802575 4377070100 6565605150 13131210300