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131102233002 = 23213243097381
BaseRepresentation
bin111101000011001001…
…1010101000110101010
3110112101201222111001100
41322012103111012222
54121444132424002
6140121051502230
712320556410436
oct1720623250652
9415351874040
10131102233002
115066687a0a4
12214a9a57976
13c494357a00
1464b9a299c6
1536249db11c
hex1e864d51aa

131102233002 has 36 divisors (see below), whose sum is σ = 307586015334. Its totient is φ = 40339147680.

The previous prime is 131102232997. The next prime is 131102233039. The reversal of 131102233002 is 200332201131.

131102233002 is a `hidden beast` number, since 1 + 311 + 0 + 22 + 330 + 0 + 2 = 666.

131102233002 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 93593776761 + 37508456241 = 305931^2 + 193671^2 .

It is a super-2 number, since 2×1311022330022 (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 17 ways as a sum of consecutive naturals, for example, 21545649 + ... + 21551732.

Almost surely, 2131102233002 is an apocalyptic number.

131102233002 is an abundant number, since it is smaller than the sum of its proper divisors (176483782332).

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

131102233002 is a wasteful number, since it uses less digits than its factorization.

131102233002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43097415 (or 43097399 counting only the distinct ones).

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

Adding to 131102233002 its reverse (200332201131), we get a palindrome (331434434133).

The spelling of 131102233002 in words is "one hundred thirty-one billion, one hundred two million, two hundred thirty-three thousand, two".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 169 234 338 507 1014 1521 3042 43097381 86194762 129292143 258584286 387876429 560265953 775752858 1120531906 1680797859 3361595718 5042393577 7283457389 10084787154 14566914778 21850372167 43700744334 65551116501 131102233002