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113315500074 = 2372894799041
BaseRepresentation
bin110100110001000100…
…0010101000000101010
3101211111011002211110010
41221202020111000222
53324032232000244
6124020104232350
711121030600300
oct1514210250052
9354434084403
10113315500074
1144069711417
1219b6516b6b6
13a8bb37837a
1456ad676270
152e3320ceb9
hex1a6221502a

113315500074 has 96 divisors (see below), whose sum is σ = 267180249600. Its totient is φ = 31941719040.

The previous prime is 113315500063. The next prime is 113315500139. The reversal of 113315500074 is 470005513311.

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 47 ways as a sum of consecutive naturals, for example, 12528994 + ... + 12538034.

It is an arithmetic number, because the mean of its divisors is an integer number (2783127600).

Almost surely, 2113315500074 is an apocalyptic number.

113315500074 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 113315500074, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133590124800).

113315500074 is an abundant number, since it is smaller than the sum of its proper divisors (153864749526).

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

113315500074 is a wasteful number, since it uses less digits than its factorization.

113315500074 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9628 (or 9621 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 30.

The spelling of 113315500074 in words is "one hundred thirteen billion, three hundred fifteen million, five hundred thousand, seventy-four".

Divisors: 1 2 3 6 7 14 21 42 49 89 98 147 178 267 294 479 534 623 958 1246 1437 1869 2874 3353 3738 4361 6706 8722 9041 10059 13083 18082 20118 23471 26166 27123 42631 46942 54246 63287 70413 85262 126574 127893 140826 189861 255786 298417 379722 443009 596834 804649 886018 895251 1329027 1609298 1790502 2088919 2413947 2658054 4177838 4330639 4827894 5632543 6266757 8661278 11265086 12533514 12991917 16897629 25983834 30314473 33795258 39427801 60628946 78855602 90943419 118283403 181886838 212201311 236566806 385426871 424402622 636603933 770853742 1156280613 1273207866 2312561226 2697988097 5395976194 8093964291 16187928582 18885916679 37771833358 56657750037 113315500074