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101516020 = 22523220687
BaseRepresentation
bin1100000110100…
…00001011110100
321002000112210121
412003100023310
5201442003040
614023501324
72341605034
oct603201364
9232015717
10101516020
1152337541
1229bb7844
1318054868
14d6a78c4
158da3c4a
hex60d02f4

101516020 has 24 divisors (see below), whose sum is σ = 222453504. Its totient is φ = 38840736.

The previous prime is 101516011. The next prime is 101516039. The reversal of 101516020 is 20615101.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 101515985 and 101516003.

It is a congruent number.

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, 109884 + ... + 110803.

It is an arithmetic number, because the mean of its divisors is an integer number (9268896).

Almost surely, 2101516020 is an apocalyptic number.

101516020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101516020 is an abundant number, since it is smaller than the sum of its proper divisors (120937484).

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

101516020 is a wasteful number, since it uses less digits than its factorization.

101516020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220719 (or 220717 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 16.

The square root of 101516020 is about 10075.5158676864. The cubic root of 101516020 is about 466.4927095393.

The spelling of 101516020 in words is "one hundred one million, five hundred sixteen thousand, twenty".

Divisors: 1 2 4 5 10 20 23 46 92 115 230 460 220687 441374 882748 1103435 2206870 4413740 5075801 10151602 20303204 25379005 50758010 101516020