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202102232100213 = 32111137892314349
BaseRepresentation
bin101101111100111110010111…
…110000001010110101110101
3222111120210012001012200122110
4231330332113300022311311
5202442220332404201323
61553500252251121233
760366255500324064
oct5574762760126565
9874523161180573
10202102232100213
115943a091254155
121a800924743219
1388a020a8c3233
1437c9b2bb6a1db
151857222214793
hexb7cf97c0ad75

202102232100213 has 16 divisors (see below), whose sum is σ = 269616961152000. Its totient is φ = 134661171545280.

The previous prime is 202102232100187. The next prime is 202102232100247. The reversal of 202102232100213 is 312001232201202.

It is not a de Polignac number, because 202102232100213 - 213 = 202102232092021 is a prime.

It is a super-3 number, since 3×2021022321002133 (a number of 44 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 202102232100213.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202102232100283) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 86168563 + ... + 88482911.

It is an arithmetic number, because the mean of its divisors is an integer number (16851060072000).

Almost surely, 2202102232100213 is an apocalyptic number.

It is an amenable number.

202102232100213 is a deficient number, since it is larger than the sum of its proper divisors (67514729051787).

202102232100213 is a wasteful number, since it uses less digits than its factorization.

202102232100213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2330252.

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 202102232100213 its reverse (312001232201202), we get a palindrome (514103464301415).

The spelling of 202102232100213 in words is "two hundred two trillion, one hundred two billion, two hundred thirty-two million, one hundred thousand, two hundred thirteen".

Divisors: 1 3 2111 6333 13789 41367 2314349 6943047 29108579 87325737 4885590739 14656772217 31912558361 95737675083 67367410700071 202102232100213