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101140032 = 263775253
BaseRepresentation
bin1100000011101…
…00011001000000
321001022110001010
412001310121000
5201342440112
614011440520
72335450620
oct601643100
9231273033
10101140032
1152100004
1229a56140
1317c52696
14d60a880
158d2c63c
hex6074640

101140032 has 56 divisors (see below), whose sum is σ = 305832256. Its totient is φ = 28896768.

The previous prime is 101140027. The next prime is 101140063. The reversal of 101140032 is 230041101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×1011400322 = 20458612145922048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36283 + ... + 38970.

Almost surely, 2101140032 is an apocalyptic number.

101140032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101140032 is an abundant number, since it is smaller than the sum of its proper divisors (204692224).

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

101140032 is an equidigital number, since it uses as much as digits as its factorization.

101140032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75275 (or 75265 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 101140032 is about 10056.8400603768. The cubic root of 101140032 is about 465.9160759303.

Adding to 101140032 its reverse (230041101), we get a palindrome (331181133).

The spelling of 101140032 in words is "one hundred one million, one hundred forty thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 1344 75253 150506 225759 301012 451518 526771 602024 903036 1053542 1204048 1580313 1806072 2107084 2408096 3160626 3612144 4214168 4816192 6321252 7224288 8428336 12642504 14448576 16856672 25285008 33713344 50570016 101140032