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213131102130232 = 2311213411813895867
BaseRepresentation
bin110000011101011101110011…
…101000100001000000111000
31000221122010121221220211220221
4300131131303220201000320
5210413414444121131412
62033143024315425424
762615133252651226
oct6035356350410070
91027563557824827
10213131102130232
1161a01435921a00
121baa229aa55274
1391c023b267290
143a8b859649b16
1519990681e1b07
hexc1d773a21038

213131102130232 has 384 divisors, whose sum is σ = 488591971358400. Its totient is φ = 86524720128000.

The previous prime is 213131102130217. The next prime is 213131102130269. The reversal of 213131102130232 is 232031201131312.

It is a junction number, because it is equal to n+sod(n) for n = 213131102130197 and 213131102130206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 36327098163 + ... + 36327104029.

Almost surely, 2213131102130232 is an apocalyptic number.

213131102130232 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213131102130232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244295985679200).

213131102130232 is an abundant number, since it is smaller than the sum of its proper divisors (275460869228168).

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

213131102130232 is a wasteful number, since it uses less digits than its factorization.

213131102130232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6519 (or 6504 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 25.

Adding to 213131102130232 its reverse (232031201131312), we get a palindrome (445162303261544).

The spelling of 213131102130232 in words is "two hundred thirteen trillion, one hundred thirty-one billion, one hundred two million, one hundred thirty thousand, two hundred thirty-two".