Search a number
-
+
113100639795 = 34511132150221
BaseRepresentation
bin110100101010101010…
…0101100111000110011
3101210221011210210120000
41221111110230320303
53323112230433140
6123542511121043
711112511401423
oct1512524547063
9353834723500
10113100639795
1143a693a9740
1219b05213183
13a8859ba200
14568cd06483
152e1e41aa30
hex1a5552ce33

113100639795 has 120 divisors (see below), whose sum is σ = 239498333712. Its totient is φ = 50618131200.

The previous prime is 113100639793. The next prime is 113100639797. The reversal of 113100639795 is 597936001311.

It is a happy number.

113100639795 is a `hidden beast` number, since 1 + 1 + 3 + 1 + 0 + 0 + 639 + 7 + 9 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (113100639793) and next prime (113100639797).

It is not a de Polignac number, because 113100639795 - 21 = 113100639793 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 113100639795.

It is not an unprimeable number, because it can be changed into a prime (113100639793) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 677785 + ... + 828005.

Almost surely, 2113100639795 is an apocalyptic number.

113100639795 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

113100639795 is an abundant number, since it is smaller than the sum of its proper divisors (126397693917).

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

113100639795 is a wasteful number, since it uses less digits than its factorization.

113100639795 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150275 (or 150253 counting only the distinct ones).

The product of its (nonzero) digits is 153090, while the sum is 45.

The spelling of 113100639795 in words is "one hundred thirteen billion, one hundred million, six hundred thirty-nine thousand, seven hundred ninety-five".

Divisors: 1 3 5 9 11 13 15 27 33 39 45 55 65 81 99 117 135 143 165 169 195 297 351 405 429 495 507 585 715 845 891 1053 1287 1485 1521 1755 1859 2145 2535 3861 4455 4563 5265 5577 6435 7605 9295 11583 13689 16731 19305 22815 27885 50193 57915 68445 83655 150221 150579 250965 450663 751105 752895 1351989 1652431 1952873 2253315 4055967 4957293 5858619 6759945 8262155 9764365 12167901 14871879 17575857 20279835 21481603 24786465 25387349 29293095 44615637 52727571 60839505 64444809 74359395 76162047 87879285 107408015 126936745 133846911 158182713 193334427 223078185 228486141 263637855 279260839 322224045 380810235 580003281 669234555 685458423 790913565 837782517 966672135 1142430705 1396304195 1740009843 2056375269 2513347551 2900016405 3427292115 4188912585 7540042653 8700049215 10281876345 12566737755 22620127959 37700213265 113100639795