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13113091068 = 22371117979283
BaseRepresentation
bin11000011011001100…
…11110001111111100
31020211212121001020120
430031212132033330
5203323422403233
610005111014540
7642645302130
oct141546361774
936755531216
1013113091068
115619aa8450
12265b66a450
13130c949cac
148c57a73c0
1551b3404b3
hex30d99e3fc

13113091068 has 96 divisors (see below), whose sum is σ = 38360770560. Its totient is φ = 3386927040.

The previous prime is 13113091021. The next prime is 13113091081. The reversal of 13113091068 is 86019031131.

It is a happy number.

It is a super-2 number, since 2×131130910682 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 125755 + ... + 205037.

It is an arithmetic number, because the mean of its divisors is an integer number (399591360).

Almost surely, 213113091068 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13113091068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19180385280).

13113091068 is an abundant number, since it is smaller than the sum of its proper divisors (25247679492).

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

13113091068 is a wasteful number, since it uses less digits than its factorization.

13113091068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79487 (or 79485 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 33.

The spelling of 13113091068 in words is "thirteen billion, one hundred thirteen million, ninety-one thousand, sixty-eight".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 132 154 179 231 308 358 462 537 716 924 1074 1253 1969 2148 2506 3759 3938 5012 5907 7518 7876 11814 13783 15036 23628 27566 41349 55132 79283 82698 158566 165396 237849 317132 475698 554981 872113 951396 1109962 1664943 1744226 2219924 2616339 3329886 3488452 5232678 6104791 6659772 10465356 12209582 14191657 18314373 24419164 28383314 36628746 42574971 56766628 73257492 85149942 99341599 156108227 170299884 198683198 298024797 312216454 397366396 468324681 596049594 624432908 936649362 1092757589 1192099188 1873298724 2185515178 3278272767 4371030356 6556545534 13113091068