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101312232 = 2337976217
BaseRepresentation
bin1100000100111…
…10011011101000
321001122012020220
412002132123220
5201413442412
614015250040
72340065640
oct602363350
9231565226
10101312232
115220841a
1229b19920
1317cb2b88
14d653520
158d6368c
hex609e6e8

101312232 has 64 divisors (see below), whose sum is σ = 292494720. Its totient is φ = 28643328.

The previous prime is 101312209. The next prime is 101312261. The reversal of 101312232 is 232213101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13188 + ... + 19404.

It is an arithmetic number, because the mean of its divisors is an integer number (4570230).

Almost surely, 2101312232 is an apocalyptic number.

101312232 is a gapful number since it is divisible by the number (12) 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 101312232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146247360).

101312232 is an abundant number, since it is smaller than the sum of its proper divisors (191182488).

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

101312232 is a wasteful number, since it uses less digits than its factorization.

101312232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6330 (or 6326 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 101312232 is about 10065.3977566711. The cubic root of 101312232 is about 466.1803473447.

Adding to 101312232 its reverse (232213101), we get a palindrome (333525333).

The spelling of 101312232 in words is "one hundred one million, three hundred twelve thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 97 168 194 291 388 582 679 776 1164 1358 2037 2328 2716 4074 5432 6217 8148 12434 16296 18651 24868 37302 43519 49736 74604 87038 130557 149208 174076 261114 348152 522228 603049 1044456 1206098 1809147 2412196 3618294 4221343 4824392 7236588 8442686 12664029 14473176 16885372 25328058 33770744 50656116 101312232