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13131211224 = 2331878729123
BaseRepresentation
bin11000011101010111…
…00110000111011000
31020220010200122102110
430032223212013120
5203343042224344
610010555232320
7643255311435
oct141653460730
936803618373
1013131211224
11562925438a
1226657486a0
131313622891
148c7d62b8c
1551cc1e3b9
hex30eae61d8

13131211224 has 32 divisors (see below), whose sum is σ = 32830902720. Its totient is φ = 4376687136.

The previous prime is 13131211207. The next prime is 13131211241. The reversal of 13131211224 is 42211213131.

13131211224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13131211207) and next prime (13131211241).

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

It is a self number, because there is not a number n which added to its sum of digits gives 13131211224.

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 7 ways as a sum of consecutive naturals, for example, 436327 + ... + 465449.

It is an arithmetic number, because the mean of its divisors is an integer number (1025965710).

Almost surely, 213131211224 is an apocalyptic number.

It is an amenable number.

13131211224 is an abundant number, since it is smaller than the sum of its proper divisors (19699691496).

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

13131211224 is a wasteful number, since it uses less digits than its factorization.

13131211224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47919 (or 47915 counting only the distinct ones).

The product of its digits is 288, while the sum is 21.

Adding to 13131211224 its reverse (42211213131), we get a palindrome (55342424355).

The spelling of 13131211224 in words is "thirteen billion, one hundred thirty-one million, two hundred eleven thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 24 18787 29123 37574 56361 58246 75148 87369 112722 116492 150296 174738 225444 232984 349476 450888 698952 547133801 1094267602 1641401403 2188535204 3282802806 4377070408 6565605612 13131211224