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101936808 = 23325326713
BaseRepresentation
bin1100001001101…
…10111010101000
321002210221000100
412010312322220
5202043434213
614040505400
72345306601
oct604667250
9232727010
10101936808
11525a46a6
122a17b260
131817124c
14d776da8
158e38773
hex6136ea8

101936808 has 48 divisors (see below), whose sum is σ = 281298420. Its totient is φ = 33336576.

The previous prime is 101936707. The next prime is 101936839. The reversal of 101936808 is 808639101.

It can be written as a sum of positive squares in 2 ways, for example, as 83942244 + 17994564 = 9162^2 + 4242^2 .

It is a super-2 number, since 2×1019368082 = 20782225650457728, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 11 ways as a sum of consecutive naturals, for example, 9541 + ... + 17172.

Almost surely, 2101936808 is an apocalyptic number.

101936808 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

101936808 is an abundant number, since it is smaller than the sum of its proper divisors (179361612).

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

101936808 is a wasteful number, since it uses less digits than its factorization.

101936808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26778 (or 26771 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 101936808 is about 10096.3759834903. The cubic root of 101936808 is about 467.1363647340.

The spelling of 101936808 in words is "one hundred one million, nine hundred thirty-six thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 53 72 106 159 212 318 424 477 636 954 1272 1908 3816 26713 53426 80139 106852 160278 213704 240417 320556 480834 641112 961668 1415789 1923336 2831578 4247367 5663156 8494734 11326312 12742101 16989468 25484202 33978936 50968404 101936808