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113011202232 = 23322999754287
BaseRepresentation
bin110100100111111111…
…1100001100010111000
3101210200221111220021200
41221033333201202320
53322421331432412
6123525554134200
711110344240465
oct1511777414270
9353627456250
10113011202232
1143a229719a5
1219a9b281360
13a870304286
1456810a466c
152e166509dc
hex1a4ffe18b8

113011202232 has 96 divisors (see below), whose sum is σ = 316949630400. Its totient is φ = 36334271232.

The previous prime is 113011202231. The next prime is 113011202233. The reversal of 113011202232 is 232202110311.

113011202232 is a `hidden beast` number, since 11 + 301 + 120 + 2 + 232 = 666.

113011202232 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (113011202231) and next prime (113011202233).

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 (113011202231) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2054593 + ... + 2108879.

It is an arithmetic number, because the mean of its divisors is an integer number (3301558650).

Almost surely, 2113011202232 is an apocalyptic number.

113011202232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113011202232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158474815200).

113011202232 is an abundant number, since it is smaller than the sum of its proper divisors (203938428168).

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

113011202232 is a wasteful number, since it uses less digits than its factorization.

113011202232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55325 (or 55318 counting only the distinct ones).

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

Adding to 113011202232 its reverse (232202110311), we get a palindrome (345213312543).

The spelling of 113011202232 in words is "one hundred thirteen billion, eleven million, two hundred two thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 29 36 58 72 87 116 174 232 261 348 522 696 997 1044 1994 2088 2991 3988 5982 7976 8973 11964 17946 23928 28913 35892 54287 57826 71784 86739 108574 115652 162861 173478 217148 231304 260217 325722 346956 434296 488583 520434 651444 693912 977166 1040868 1302888 1574323 1954332 2081736 3148646 3908664 4722969 6297292 9445938 12594584 14168907 18891876 28337814 37783752 54124139 56675628 108248278 113351256 162372417 216496556 324744834 432993112 487117251 649489668 974234502 1298979336 1569600031 1948469004 3139200062 3896938008 4708800093 6278400124 9417600186 12556800248 14126400279 18835200372 28252800558 37670400744 56505601116 113011202232