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10232211213 = 327237627089
BaseRepresentation
bin10011000011110001…
…10010011100001101
3222102002201012000200
421201320302130031
5131423421224323
64411155444113
7511364234400
oct114170623415
928362635020
1010232211213
1143808a8804
121b968b6639
13c70b42063
146d0d2bd37
153ed47b443
hex261e3270d

10232211213 has 36 divisors (see below), whose sum is σ = 17657600220. Its totient is φ = 5688942336.

The previous prime is 10232211211. The next prime is 10232211229. The reversal of 10232211213 is 31211223201.

10232211213 is a `hidden beast` number, since 10 + 232 + 211 + 213 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 6257917449 + 3974293764 = 79107^2 + 63042^2 .

It is not a de Polignac number, because 10232211213 - 21 = 10232211211 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10232211211) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 297228 + ... + 329861.

It is an arithmetic number, because the mean of its divisors is an integer number (490488895).

Almost surely, 210232211213 is an apocalyptic number.

It is an amenable number.

10232211213 is a deficient number, since it is larger than the sum of its proper divisors (7425389007).

10232211213 is a wasteful number, since it uses less digits than its factorization.

10232211213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 627146 (or 627136 counting only the distinct ones).

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

Adding to 10232211213 its reverse (31211223201), we get a palindrome (41443434414).

It can be divided in two parts, 10232 and 211213, that added together give a triangular number (221445 = T665).

The spelling of 10232211213 in words is "ten billion, two hundred thirty-two million, two hundred eleven thousand, two hundred thirteen".

Divisors: 1 3 7 9 21 37 49 63 111 147 259 333 441 777 1813 2331 5439 16317 627089 1881267 4389623 5643801 13168869 23202293 30727361 39506607 69606879 92182083 162416051 208820637 276546249 487248153 1136912357 1461744459 3410737071 10232211213