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101919642 = 23116772281
BaseRepresentation
bin1100001001100…
…10101110011010
321002210001110120
412010302232122
5202042412032
614040254110
72345205546
oct604625632
9232701416
10101919642
1152592810
122a171336
13181664a6
14d770a26
158e3362c
hex6132b9a

101919642 has 32 divisors (see below), whose sum is σ = 222796224. Its totient is φ = 30825600.

The previous prime is 101919637. The next prime is 101919679. The reversal of 101919642 is 246919101.

It is a super-2 number, since 2×1019196422 = 20775226850816328, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 43542 + ... + 45822.

It is an arithmetic number, because the mean of its divisors is an integer number (6962382).

Almost surely, 2101919642 is an apocalyptic number.

101919642 is an abundant number, since it is smaller than the sum of its proper divisors (120876582).

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

101919642 is a wasteful number, since it uses less digits than its factorization.

101919642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2974.

The product of its (nonzero) digits is 3888, while the sum is 33.

The square root of 101919642 is about 10095.5258406880. The cubic root of 101919642 is about 467.1101415827.

The spelling of 101919642 in words is "one hundred one million, nine hundred nineteen thousand, six hundred forty-two".

Divisors: 1 2 3 6 11 22 33 66 677 1354 2031 2281 4062 4562 6843 7447 13686 14894 22341 25091 44682 50182 75273 150546 1544237 3088474 4632711 9265422 16986607 33973214 50959821 101919642