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113231011221 = 32411013038209
BaseRepresentation
bin110100101110100011…
…0000001110110010101
3101211021021010100112100
41221131012001312111
53323344114324341
6124003445312313
711115653500146
oct1513506016625
9354237110470
10113231011221
1144025a54719
1219b40a05699
13a8a6a05a73
1456a2361acd
152e2aabe3b6
hex1a5d181d95

113231011221 has 24 divisors (see below), whose sum is σ = 169203991320. Its totient is φ = 72916992000.

The previous prime is 113231011219. The next prime is 113231011247. The reversal of 113231011221 is 122110132311.

113231011221 is a `hidden beast` number, since 1 + 132 + 310 + 1 + 1 + 221 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 51173226225 + 62057784996 = 226215^2 + 249114^2 .

It is not a de Polignac number, because 113231011221 - 21 = 113231011219 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 113231011194 and 113231011203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113231011021) 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, 1481836 + ... + 1556373.

It is an arithmetic number, because the mean of its divisors is an integer number (7050166305).

Almost surely, 2113231011221 is an apocalyptic number.

It is an amenable number.

113231011221 is a deficient number, since it is larger than the sum of its proper divisors (55972980099).

113231011221 is a wasteful number, since it uses less digits than its factorization.

113231011221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3038357 (or 3038354 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 113231011221 its reverse (122110132311), we get a palindrome (235341143532).

The spelling of 113231011221 in words is "one hundred thirteen billion, two hundred thirty-one million, eleven thousand, two hundred twenty-one".

Divisors: 1 3 9 41 101 123 303 369 909 4141 12423 37269 3038209 9114627 27343881 124566569 306859109 373699707 920577327 1121099121 2761731981 12581223469 37743670407 113231011221