Search a number
-
+
113102313012 = 223413171579553
BaseRepresentation
bin110100101010101101…
…1000101011000110100
3101210221021221210210000
41221111123011120310
53323113143004022
6123543011031300
711112531540543
oct1512533053064
9353837853700
10113102313012
1143a6a341867
1219b0589b530
13a886154990
14568d22015a
152e1e64b6ac
hex1a556c5634

113102313012 has 120 divisors (see below), whose sum is σ = 337146323976. Its totient is φ = 32753590272.

The previous prime is 113102312993. The next prime is 113102313047. The reversal of 113102313012 is 210313201311.

113102313012 is a `hidden beast` number, since 1 + 131 + 0 + 231 + 301 + 2 = 666.

113102313012 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1047428496 + 112054884516 = 32364^2 + 334746^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 718173 + ... + 861380.

Almost surely, 2113102313012 is an apocalyptic number.

113102313012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

113102313012 is an abundant number, since it is smaller than the sum of its proper divisors (224044010964).

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

113102313012 is a wasteful number, since it uses less digits than its factorization.

113102313012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1579599 (or 1579588 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 113102313012 its reverse (210313201311), we get a palindrome (323415514323).

The spelling of 113102313012 in words is "one hundred thirteen billion, one hundred two million, three hundred thirteen thousand, twelve".

Divisors: 1 2 3 4 6 9 12 13 17 18 26 27 34 36 39 51 52 54 68 78 81 102 108 117 153 156 162 204 221 234 306 324 351 442 459 468 612 663 702 884 918 1053 1326 1377 1404 1836 1989 2106 2652 2754 3978 4212 5508 5967 7956 11934 17901 23868 35802 71604 1579553 3159106 4738659 6318212 9477318 14215977 18954636 20534189 26852401 28431954 41068378 42647931 53704802 56863908 61602567 80557203 82136756 85295862 107409604 123205134 127943793 161114406 170591724 184807701 241671609 246410268 255887586 322228812 349081213 369615402 483343218 511775172 554423103 698162426 725014827 739230804 966686436 1047243639 1108846206 1396324852 1450029654 1663269309 2094487278 2175044481 2217692412 2900059308 3141730917 3326538618 4188974556 4350088962 6283461834 6653077236 8700177924 9425192751 12566923668 18850385502 28275578253 37700771004 56551156506 113102313012