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113302122102 = 232132211176521
BaseRepresentation
bin110100110000101010…
…1010010111001110110
3101211110012221011022200
41221201111102321312
53324020320401402
6124014505405330
711120506101411
oct1514125227166
9354405834280
10113302122102
1144062104344
1219b60799846
13a8b8673100
1456ab992b78
152e31e6921c
hex1a61552e76

113302122102 has 72 divisors (see below), whose sum is σ = 267085552968. Its totient is φ = 34696771200.

The previous prime is 113302122097. The next prime is 113302122161. The reversal of 113302122102 is 201221203311.

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 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, 553602 + ... + 730122.

It is an arithmetic number, because the mean of its divisors is an integer number (3709521569).

Almost surely, 2113302122102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113302122102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133542776484).

113302122102 is an abundant number, since it is smaller than the sum of its proper divisors (153783430866).

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

113302122102 is a wasteful number, since it uses less digits than its factorization.

113302122102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176766 (or 176750 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 113302122102 its reverse (201221203311), we get a palindrome (314523325413).

The spelling of 113302122102 in words is "one hundred thirteen billion, three hundred two million, one hundred twenty-two thousand, one hundred two".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 169 211 234 338 422 507 633 1014 1266 1521 1899 2743 3042 3798 5486 8229 16458 24687 35659 49374 71318 106977 176521 213954 320931 353042 529563 641862 1059126 1588689 2294773 3177378 4589546 6884319 13768638 20652957 29832049 37245931 41305914 59664098 74491862 89496147 111737793 178992294 223475586 268488441 335213379 484197103 536976882 670426758 968394206 1452591309 2905182618 4357773927 6294562339 8715547854 12589124678 18883687017 37767374034 56651061051 113302122102