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132853281 = 31121392633
BaseRepresentation
bin1111110101100…
…10111000100001
3100020222122102220
413322302320201
5233002301111
621103301253
73202143231
oct772627041
9306878386
10132853281
1168aa0700
12385aa829
13216a7412
1413903cc1
15b9e3e06
hex7eb2e21

132853281 has 24 divisors (see below), whose sum is σ = 196180320. Its totient is φ = 79907520.

The previous prime is 132853277. The next prime is 132853319. The reversal of 132853281 is 182358231.

It is not a de Polignac number, because 132853281 - 22 = 132853277 is a prime.

It is a super-2 number, since 2×1328532812 = 35299988544929922, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (132853381) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49141 + ... + 51773.

It is an arithmetic number, because the mean of its divisors is an integer number (8174180).

Almost surely, 2132853281 is an apocalyptic number.

132853281 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

132853281 is a deficient number, since it is larger than the sum of its proper divisors (63327039).

132853281 is a wasteful number, since it uses less digits than its factorization.

132853281 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2797 (or 2786 counting only the distinct ones).

The product of its digits is 11520, while the sum is 33.

The square root of 132853281 is about 11526.1997640159. The cubic root of 132853281 is about 510.2591032511.

The spelling of 132853281 in words is "one hundred thirty-two million, eight hundred fifty-three thousand, two hundred eighty-one".

Divisors: 1 3 11 33 121 139 363 417 1529 2633 4587 7899 16819 28963 50457 86889 318593 365987 955779 1097961 4025857 12077571 44284427 132853281