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101057044 = 221117167809
BaseRepresentation
bin1100000011000…
…00001000010100
321001011020012111
412001200020110
5201332311134
614010000404
72334653644
oct601401024
9231136174
10101057044
1152053720
1229a16104
1317c2398a
14d5c8524
158d12c64
hex6060214

101057044 has 48 divisors (see below), whose sum is σ = 205752960. Its totient is φ = 42920960.

The previous prime is 101057041. The next prime is 101057051. The reversal of 101057044 is 440750101.

It is a super-2 number, since 2×1010570442 = 20425052284035872, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101057041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 124512 + ... + 125320.

It is an arithmetic number, because the mean of its divisors is an integer number (4286520).

Almost surely, 2101057044 is an apocalyptic number.

It is an amenable number.

101057044 is an abundant number, since it is smaller than the sum of its proper divisors (104695916).

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

101057044 is a wasteful number, since it uses less digits than its factorization.

101057044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1008 (or 1006 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 22.

The square root of 101057044 is about 10052.7132655816. The cubic root of 101057044 is about 465.7886090157.

The spelling of 101057044 in words is "one hundred one million, fifty-seven thousand, forty-four".

Divisors: 1 2 4 11 17 22 34 44 68 167 187 334 374 668 748 809 1618 1837 2839 3236 3674 5678 7348 8899 11356 13753 17798 27506 31229 35596 55012 62458 124916 135103 151283 270206 302566 540412 605132 1486133 2296751 2972266 4593502 5944532 9187004 25264261 50528522 101057044