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113331322120 = 23517868919181
BaseRepresentation
bin110100110001100010…
…0101011110100001000
3101211112020212200012211
41221203010223310020
53324100304301440
6124021431314504
711121312225562
oct1514304536410
9354466780184
10113331322120
1144077638795
1219b6a51ba34
13a8c1727c23
1456b17d4332
152e347d5eea
hex1a6312bd08

113331322120 has 64 divisors (see below), whose sum is σ = 270040359600. Its totient is φ = 42658775040.

The previous prime is 113331322079. The next prime is 113331322123. The reversal of 113331322120 is 21223133311.

It can be written as a sum of positive squares in 8 ways, for example, as 100703406244 + 12627915876 = 317338^2 + 112374^2 .

It is a junction number, because it is equal to n+sod(n) for n = 113331322091 and 113331322100.

It is not an unprimeable number, because it can be changed into a prime (113331322123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5898930 + ... + 5918110.

Almost surely, 2113331322120 is an apocalyptic number.

113331322120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

113331322120 is an abundant number, since it is smaller than the sum of its proper divisors (156709037480).

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

113331322120 is a wasteful number, since it uses less digits than its factorization.

113331322120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27898 (or 27894 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 113331322120 its reverse (21223133311), we get a palindrome (134554455431).

The spelling of 113331322120 in words is "one hundred thirteen billion, three hundred thirty-one million, three hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 680 8689 17378 19181 34756 38362 43445 69512 76724 86890 95905 147713 153448 173780 191810 295426 326077 347560 383620 590852 652154 738565 767240 1181704 1304308 1477130 1630385 2608616 2954260 3260770 5908520 6521540 13043080 166663709 333327418 666654836 833318545 1333309672 1666637090 2833283053 3333274180 5666566106 6666548360 11333132212 14166415265 22666264424 28332830530 56665661060 113331322120