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101981080 = 23523110849
BaseRepresentation
bin1100001010000…
…01101110011000
321002220011202001
412011001232120
5202101343310
614041450344
72345552635
oct605015630
9232804661
10101981080
1152624993
122a1a09b4
1318188446
14d78918c
158e4693a
hex6141b98

101981080 has 32 divisors (see below), whose sum is σ = 239436000. Its totient is φ = 39018496.

The previous prime is 101981069. The next prime is 101981083. The reversal of 101981080 is 80189101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101981083) by changing a digit.

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, 54505 + ... + 56344.

It is an arithmetic number, because the mean of its divisors is an integer number (7482375).

Almost surely, 2101981080 is an apocalyptic number.

101981080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101981080 is an abundant number, since it is smaller than the sum of its proper divisors (137454920).

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

101981080 is a wasteful number, since it uses less digits than its factorization.

101981080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110883 (or 110879 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 28.

The square root of 101981080 is about 10098.5682153462. The cubic root of 101981080 is about 467.2039820101.

The spelling of 101981080 in words is "one hundred one million, nine hundred eighty-one thousand, eighty".

Divisors: 1 2 4 5 8 10 20 23 40 46 92 115 184 230 460 920 110849 221698 443396 554245 886792 1108490 2216980 2549527 4433960 5099054 10198108 12747635 20396216 25495270 50990540 101981080