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102119820 = 223511154727
BaseRepresentation
bin1100001011000…
…11100110001100
321010011020001120
412011203212030
5202120313240
614044440540
72350001265
oct605434614
9233136046
10102119820
115270a150
122a249150
131820663a
14d7c396c
158e72ad0
hex616398c

102119820 has 48 divisors (see below), whose sum is σ = 311931648. Its totient is φ = 24756160.

The previous prime is 102119783. The next prime is 102119827. The reversal of 102119820 is 28911201.

It is not an unprimeable number, because it can be changed into a prime (102119827) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 76704 + ... + 78023.

It is an arithmetic number, because the mean of its divisors is an integer number (6498576).

Almost surely, 2102119820 is an apocalyptic number.

102119820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102119820 is an abundant number, since it is smaller than the sum of its proper divisors (209811828).

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

102119820 is a wasteful number, since it uses less digits than its factorization.

102119820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154750 (or 154748 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 24.

The square root of 102119820 is about 10105.4351712333. The cubic root of 102119820 is about 467.4157549780.

The spelling of 102119820 in words is "one hundred two million, one hundred nineteen thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 154727 309454 464181 618908 773635 928362 1547270 1701997 1856724 2320905 3094540 3403994 4641810 5105991 6807988 8509985 9283620 10211982 17019970 20423964 25529955 34039940 51059910 102119820