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13110355430232 = 2336125033577771
BaseRepresentation
bin1011111011000111111000…
…0101000000101101011000
31201102100010012201020021020
42332301332011000231120
53204300001442231412
643514451504242440
72522122554313524
oct276617605005530
951370105636236
1013110355430232
1141a50859438a5
121578a5b610420
137413bb9c0068
1433478a4cad84
1517b06ca8c18c
hexbec7e140b58

13110355430232 has 64 divisors (see below), whose sum is σ = 33326516847360. Its totient is φ = 4296758659200.

The previous prime is 13110355430197. The next prime is 13110355430261. The reversal of 13110355430232 is 23203455301131.

13110355430232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 13110355430193 and 13110355430202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1875507 + ... + 5453277.

It is an arithmetic number, because the mean of its divisors is an integer number (520726825740).

Almost surely, 213110355430232 is an apocalyptic number.

13110355430232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13110355430232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16663258423680).

13110355430232 is an abundant number, since it is smaller than the sum of its proper divisors (20216161417128).

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

13110355430232 is a wasteful number, since it uses less digits than its factorization.

13110355430232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3580344 (or 3580340 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 33.

The spelling of 13110355430232 in words is "thirteen trillion, one hundred ten billion, three hundred fifty-five million, four hundred thirty thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 24 61 122 183 244 366 488 732 1464 2503 5006 7509 10012 15018 20024 30036 60072 152683 305366 458049 610732 916098 1221464 1832196 3577771 3664392 7155542 10733313 14311084 21466626 28622168 42933252 85866504 218244031 436488062 654732093 872976124 1309464186 1745952248 2618928372 5237856744 8955160813 17910321626 26865482439 35820643252 53730964878 71641286504 107461929756 214923859512 546264809593 1092529619186 1638794428779 2185059238372 3277588857558 4370118476744 6555177715116 13110355430232