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114003131202 = 23242971473937
BaseRepresentation
bin110101000101100011…
…1011011101101000010
3101220021002000010000200
41222023013123231002
53331434300144302
6124212230430030
711144050424622
oct1521307335502
9356232003020
10114003131202
1144391882904
121a117502316
13a99a9768ac
145736b10882
152e7378a81c
hex1a8b1dbb42

114003131202 has 24 divisors (see below), whose sum is σ = 247064435436. Its totient is φ = 37992174336.

The previous prime is 114003131167. The next prime is 114003131213. The reversal of 114003131202 is 202131300411.

114003131202 is a `hidden beast` number, since 1 + 1 + 400 + 31 + 31 + 202 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 112740821361 + 1262309841 = 335769^2 + 35529^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 659623 + ... + 814314.

Almost surely, 2114003131202 is an apocalyptic number.

114003131202 is an abundant number, since it is smaller than the sum of its proper divisors (133061304234).

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

114003131202 is a wasteful number, since it uses less digits than its factorization.

114003131202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1478242 (or 1478239 counting only the distinct ones).

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

Adding to 114003131202 its reverse (202131300411), we get a palindrome (316134431613).

The spelling of 114003131202 in words is "one hundred fourteen billion, three million, one hundred thirty-one thousand, two hundred two".

Divisors: 1 2 3 6 9 18 4297 8594 12891 25782 38673 77346 1473937 2947874 4421811 8843622 13265433 26530866 6333507289 12667014578 19000521867 38001043734 57001565601 114003131202