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101135944 = 23713138923
BaseRepresentation
bin1100000011100…
…11011001001000
321001022020102201
412001303121020
5201342322234
614011405544
72335432660
oct601633110
9231266381
10101135944
11520a7a28
1229a538b4
1317c50870
14d6091a0
158d2b314
hex6073648

101135944 has 32 divisors (see below), whose sum is σ = 233392320. Its totient is φ = 40009536.

The previous prime is 101135939. The next prime is 101135953. The reversal of 101135944 is 449531101.

It is a super-2 number, since 2×1011359442 = 20456958337542272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 68734 + ... + 70189.

It is an arithmetic number, because the mean of its divisors is an integer number (7293510).

Almost surely, 2101135944 is an apocalyptic number.

101135944 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

101135944 is an abundant number, since it is smaller than the sum of its proper divisors (132256376).

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

101135944 is a wasteful number, since it uses less digits than its factorization.

101135944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138949 (or 138945 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 28.

The square root of 101135944 is about 10056.6368135674. The cubic root of 101135944 is about 465.9097985261.

The spelling of 101135944 in words is "one hundred one million, one hundred thirty-five thousand, nine hundred forty-four".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 91 104 182 364 728 138923 277846 555692 972461 1111384 1805999 1944922 3611998 3889844 7223996 7779688 12641993 14447992 25283986 50567972 101135944