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100166016 = 273260849
BaseRepresentation
bin1011111100001…
…10100110000000
320222110221221110
411332012212000
5201120303031
613534523320
72324253126
oct576064600
9228427843
10100166016
11515a5235
1229666540
13179a1242
14d435916
158bd8c46
hex5f86980

100166016 has 32 divisors (see below), whose sum is σ = 266067000. Its totient is φ = 33388544.

The previous prime is 100165999. The next prime is 100166021. The reversal of 100166016 is 610661001.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×1001660162 = 20066461522624512, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100165983 and 100166001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 130041 + ... + 130808.

Almost surely, 2100166016 is an apocalyptic number.

100166016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

100166016 is an abundant number, since it is smaller than the sum of its proper divisors (165900984).

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

100166016 is an equidigital number, since it uses as much as digits as its factorization.

100166016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260866 (or 260854 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 100166016 is about 10008.2973576928. The cubic root of 100166016 is about 464.4156006870.

The spelling of 100166016 in words is "one hundred million, one hundred sixty-six thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 260849 521698 782547 1043396 1565094 2086792 3130188 4173584 6260376 8347168 12520752 16694336 25041504 33388672 50083008 100166016