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13111433322 = 23131931436637
BaseRepresentation
bin11000011011000000…
…01001100001101010
31020211202110211020120
430031200021201222
5203323011331242
610005011304110
7642625226061
oct141540114152
936752424216
1013111433322
115619075a09
12265abab036
13130c4b9590
148c54951d8
1551b1141ec
hex30d80986a

13111433322 has 128 divisors (see below), whose sum is σ = 31403581440. Its totient is φ = 3612107520.

The previous prime is 13111433317. The next prime is 13111433333. The reversal of 13111433322 is 22333411131.

It is a junction number, because it is equal to n+sod(n) for n = 13111433292 and 13111433301.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1972188 + ... + 1978824.

It is an arithmetic number, because the mean of its divisors is an integer number (245340480).

Almost surely, 213111433322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13111433322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15701790720).

13111433322 is an abundant number, since it is smaller than the sum of its proper divisors (18292148118).

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

13111433322 is a wasteful number, since it uses less digits than its factorization.

13111433322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6748.

The product of its digits is 1296, while the sum is 24.

Adding to 13111433322 its reverse (22333411131), we get a palindrome (35444844453).

The spelling of 13111433322 in words is "thirteen billion, one hundred eleven million, four hundred thirty-three thousand, three hundred twenty-two".

Divisors: 1 2 3 6 13 19 26 31 38 39 43 57 62 78 86 93 114 129 186 247 258 403 494 559 589 741 806 817 1118 1178 1209 1333 1482 1634 1677 1767 2418 2451 2666 3354 3534 3999 4902 6637 7657 7998 10621 13274 15314 17329 19911 21242 22971 25327 31863 34658 39822 45942 50654 51987 63726 75981 86281 103974 126103 151962 172562 205747 252206 258843 285391 329251 378309 411494 517686 570782 617241 658502 756618 856173 987753 1234482 1639339 1712346 1975506 2674711 3278678 3710083 3909193 4918017 5349422 5422429 7420166 7818386 8024133 8847121 9836034 10844858 11130249 11727579 16048266 16267287 17694242 22260498 23455158 26541363 32534574 50819509 53082726 70491577 101639018 115012573 140983154 152458527 168095299 211474731 230025146 304917054 336190598 345037719 422949462 504285897 690075438 1008571794 2185238887 4370477774 6555716661 13111433322