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113213300310 = 232511210396079
BaseRepresentation
bin110100101110000001…
…0011101111001010110
3101211020000210112201200
41221130002131321112
53323330101102220
6124002013533330
711115350113635
oct1513402357126
9354200715650
10113213300310
1144016a58200
1219b36aa4246
13a8a3144536
14569dc7151c
152e29271890
hex1a5c09de56

113213300310 has 72 divisors (see below), whose sum is σ = 323546801760. Its totient is φ = 27445645920.

The previous prime is 113213300297. The next prime is 113213300311. The reversal of 113213300310 is 13003312311.

It is a happy number.

113213300310 is a `hidden beast` number, since 1 + 1 + 3 + 21 + 330 + 0 + 310 = 666.

It is a super-2 number, since 2×1132133003102 (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113213300311) 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 35 ways as a sum of consecutive naturals, for example, 5187150 + ... + 5208929.

It is an arithmetic number, because the mean of its divisors is an integer number (4493705580).

Almost surely, 2113213300310 is an apocalyptic number.

113213300310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

113213300310 is an abundant number, since it is smaller than the sum of its proper divisors (210333501450).

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

113213300310 is a wasteful number, since it uses less digits than its factorization.

113213300310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10396114 (or 10396100 counting only the distinct ones).

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

Adding to 113213300310 its reverse (13003312311), we get a palindrome (126216612621).

The spelling of 113213300310 in words is "one hundred thirteen billion, two hundred thirteen million, three hundred thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 121 165 198 242 330 363 495 605 726 990 1089 1210 1815 2178 3630 5445 10890 10396079 20792158 31188237 51980395 62376474 93564711 103960790 114356869 155941185 187129422 228713738 311882370 343070607 467823555 571784345 686141214 935647110 1029211821 1143568690 1257925559 1715353035 2058423642 2515851118 3430706070 3773776677 5146059105 6289627795 7547553354 10292118210 11321330031 12579255590 18868883385 22642660062 37737766770 56606650155 113213300310