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113311210232 = 23114383360781
BaseRepresentation
bin110100110000111011…
…1111101101011111000
3101211110212000212220002
41221201313331223320
53324030132211412
6124015432252132
711120646252413
oct1514167755370
9354425025802
10113311210232
11440672513a0
1219b63841048
13a8ba5058bc
1456acc7ab7a
152e32b61dc2
hex1a61dfdaf8

113311210232 has 64 divisors (see below), whose sum is σ = 240021048960. Its totient is φ = 49701052800.

The previous prime is 113311210193. The next prime is 113311210241. The reversal of 113311210232 is 232012113311.

It is a happy number.

113311210232 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 133682 + ... + 494462.

It is an arithmetic number, because the mean of its divisors is an integer number (3750328890).

Almost surely, 2113311210232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113311210232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120010524480).

113311210232 is an abundant number, since it is smaller than the sum of its proper divisors (126709838728).

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

113311210232 is a wasteful number, since it uses less digits than its factorization.

113311210232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360924 (or 360920 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 113311210232 its reverse (232012113311), we get a palindrome (345323323543).

The spelling of 113311210232 in words is "one hundred thirteen billion, three hundred eleven million, two hundred ten thousand, two hundred thirty-two".

Divisors: 1 2 4 8 11 22 43 44 83 86 88 166 172 332 344 473 664 913 946 1826 1892 3569 3652 3784 7138 7304 14276 28552 39259 78518 157036 314072 360781 721562 1443124 2886248 3968591 7937182 15513583 15874364 29944823 31027166 31748728 59889646 62054332 119779292 124108664 170649413 239558584 329393053 341298826 658786106 682597652 1287627389 1317572212 1365195304 2575254778 2635144424 5150509556 10301019112 14163901279 28327802558 56655605116 113311210232