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113312023002 = 23229217072841
BaseRepresentation
bin110100110000111101…
…1000100000111011010
3101211110220120011210200
41221201323010013122
53324030334214002
6124015501523030
711120656206123
oct1514173040732
9354426504720
10113312023002
1144067757002
1219b63b73476
13a8ba72b829
1456ad00d04a
152e32c72b1c
hex1a61ec41da

113312023002 has 24 divisors (see below), whose sum is σ = 253975225140. Its totient is φ = 36468237120.

The previous prime is 113312022997. The next prime is 113312023043. The reversal of 113312023002 is 200320213311.

113312023002 is a `hidden beast` number, since 11 + 331 + 20 + 2 + 300 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 109560338001 + 3751685001 = 330999^2 + 61251^2 .

It is a super-2 number, since 2×1133120230022 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 108535899 + ... + 108536942.

Almost surely, 2113312023002 is an apocalyptic number.

113312023002 is an abundant number, since it is smaller than the sum of its proper divisors (140663202138).

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

113312023002 is a wasteful number, since it uses less digits than its factorization.

113312023002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217072878 (or 217072875 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 113312023002 its reverse (200320213311), we get a palindrome (313632236313).

The spelling of 113312023002 in words is "one hundred thirteen billion, three hundred twelve million, twenty-three thousand, two".

Divisors: 1 2 3 6 9 18 29 58 87 174 261 522 217072841 434145682 651218523 1302437046 1953655569 3907311138 6295112389 12590224778 18885337167 37770674334 56656011501 113312023002