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101978816 = 269716427
BaseRepresentation
bin1100001010000…
…01001011000000
321002220001122012
412011001023000
5202101310231
614041432052
72345543222
oct605011300
9232801565
10101978816
1152623215
122a19b628
13181873c4
14d788412
158e45e2b
hex61412c0

101978816 has 28 divisors (see below), whose sum is σ = 204462888. Its totient is φ = 50460672.

The previous prime is 101978813. The next prime is 101978857. The reversal of 101978816 is 618879101.

It is not an unprimeable number, because it can be changed into a prime (101978813) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2006 + ... + 14421.

It is an arithmetic number, because the mean of its divisors is an integer number (7302246).

Almost surely, 2101978816 is an apocalyptic number.

101978816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

101978816 is an abundant number, since it is smaller than the sum of its proper divisors (102484072).

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

101978816 is an equidigital number, since it uses as much as digits as its factorization.

101978816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16536 (or 16526 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 41.

The square root of 101978816 is about 10098.4561196254. The cubic root of 101978816 is about 467.2005246444.

The spelling of 101978816 in words is "one hundred one million, nine hundred seventy-eight thousand, eight hundred sixteen".

Divisors: 1 2 4 8 16 32 64 97 194 388 776 1552 3104 6208 16427 32854 65708 131416 262832 525664 1051328 1593419 3186838 6373676 12747352 25494704 50989408 101978816