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113120103330 = 232513372613077
BaseRepresentation
bin110100101011001111…
…0111100101110100010
3101210222112102122111200
41221112132330232202
53323132221301310
6123544444222030
711113136004423
oct1512636745642
9353875378450
10113120103330
1143a79392a03
1219b0b83a916
13a889a433b0
14569173164a
152e20eb29c0
hex1a567bcba2

113120103330 has 96 divisors (see below), whose sum is σ = 325296854064. Its totient is φ = 27092371968.

The previous prime is 113120103301. The next prime is 113120103337. The reversal of 113120103330 is 33301021311.

It is a happy number.

113120103330 is a `hidden beast` number, since 1 + 131 + 201 + 0 + 3 + 330 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 76075017489 + 37045085841 = 275817^2 + 192471^2 .

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

It is not an unprimeable number, because it can be changed into a prime (113120103337) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1263249 + ... + 1349828.

Almost surely, 2113120103330 is an apocalyptic number.

113120103330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

113120103330 is an abundant number, since it is smaller than the sum of its proper divisors (212176750734).

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

113120103330 is a wasteful number, since it uses less digits than its factorization.

113120103330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2613140 (or 2613137 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 113120103330 its reverse (33301021311), we get a palindrome (146421124641).

The spelling of 113120103330 in words is "one hundred thirteen billion, one hundred twenty million, one hundred three thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 37 39 45 65 74 78 90 111 117 130 185 195 222 234 333 370 390 481 555 585 666 962 1110 1170 1443 1665 2405 2886 3330 4329 4810 7215 8658 14430 21645 43290 2613077 5226154 7839231 13065385 15678462 23517693 26130770 33970001 39196155 47035386 67940002 78392310 96683849 101910003 117588465 169850005 193367698 203820006 235176930 290051547 305730009 339700010 483419245 509550015 580103094 611460018 870154641 966838490 1019100030 1256890037 1450257735 1528650045 1740309282 2513780074 2900515470 3057300090 3770670111 4350773205 6284450185 7541340222 8701546410 11312010333 12568900370 18853350555 22624020666 37706701110 56560051665 113120103330