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13131222132 = 2237182385751
BaseRepresentation
bin11000011101010111…
…01000110001110100
31020220010201012101110
430032223220301310
5203343043102012
610010555355020
7643255355310
oct141653506164
936803635343
1013131222132
1156292615a6
122665752a70
131313627832
148c7d66b40
1551cc2273c
hex30eae8c74

13131222132 has 48 divisors (see below), whose sum is σ = 35036209152. Its totient is φ = 3749676000.

The previous prime is 13131222119. The next prime is 13131222149. The reversal of 13131222132 is 23122213131.

13131222132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 13131222099 and 13131222108.

It is a congruent number.

It is an unprimeable number.

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, 110257 + ... + 196007.

It is an arithmetic number, because the mean of its divisors is an integer number (729921024).

Almost surely, 213131222132 is an apocalyptic number.

13131222132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13131222132 is an abundant number, since it is smaller than the sum of its proper divisors (21904987020).

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

13131222132 is a wasteful number, since it uses less digits than its factorization.

13131222132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87588 (or 87586 counting only the distinct ones).

The product of its digits is 432, while the sum is 21.

Adding to 13131222132 its reverse (23122213131), we get a palindrome (36253435263).

Subtracting 13131222132 from its reverse (23122213131), we obtain a palindrome (9990990999).

The spelling of 13131222132 in words is "thirteen billion, one hundred thirty-one million, two hundred twenty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 1823 3646 5469 7292 10938 12761 21876 25522 38283 51044 76566 85751 153132 171502 257253 343004 514506 600257 1029012 1200514 1800771 2401028 3601542 7203084 156324073 312648146 468972219 625296292 937944438 1094268511 1875888876 2188537022 3282805533 4377074044 6565611066 13131222132