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12988833 = 31113217137
BaseRepresentation
bin110001100011…
…000110100001
3220102220022220
4301203012201
511311120313
61142221253
7215255214
oct61430641
926386286
1012988833
117371780
124424829
1328ca100
141a2177b
151218823
hexc631a1

12988833 has 48 divisors (see below), whose sum is σ = 21819456. Its totient is φ = 6789120.

The previous prime is 12988831. The next prime is 12988849. The reversal of 12988833 is 33888921.

It is not a de Polignac number, because 12988833 - 21 = 12988831 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12988831) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 94741 + ... + 94877.

It is an arithmetic number, because the mean of its divisors is an integer number (454572).

Almost surely, 212988833 is an apocalyptic number.

12988833 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

12988833 is a deficient number, since it is larger than the sum of its proper divisors (8830623).

12988833 is a wasteful number, since it uses less digits than its factorization.

12988833 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 181 counting only the distinct ones).

The product of its digits is 82944, while the sum is 42.

The square root of 12988833 is about 3604.0023584898. The cubic root of 12988833 is about 235.0661229351.

It can be divided in two parts, 129888 and 33, that added together give a palindrome (129921).

The spelling of 12988833 in words is "twelve million, nine hundred eighty-eight thousand, eight hundred thirty-three".

Divisors: 1 3 11 13 17 33 39 51 137 143 169 187 221 411 429 507 561 663 1507 1781 1859 2329 2431 2873 4521 5343 5577 6987 7293 8619 19591 23153 25619 30277 31603 58773 69459 76857 90831 94809 254683 333047 393601 764049 999141 1180803 4329611 12988833