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101668024 = 23177110529
BaseRepresentation
bin1100000111101…
…01010010111000
321002022021022101
412003311102320
5202011334044
614031033144
72343110143
oct603652270
9232267271
10101668024
1152430767
122a06b7b4
13180a8ac3
14d70705a
158dd3cd4
hex60f54b8

101668024 has 32 divisors (see below), whose sum is σ = 204703200. Its totient is φ = 47165440.

The previous prime is 101668013. The next prime is 101668037. The reversal of 101668024 is 420866101.

It is a junction number, because it is equal to n+sod(n) for n = 101667983 and 101668001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4392 + ... + 14920.

It is an arithmetic number, because the mean of its divisors is an integer number (6396975).

Almost surely, 2101668024 is an apocalyptic number.

It is an amenable number.

101668024 is an abundant number, since it is smaller than the sum of its proper divisors (103035176).

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

101668024 is a wasteful number, since it uses less digits than its factorization.

101668024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10623 (or 10619 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 101668024 is about 10083.0562826952. The cubic root of 101668024 is about 466.7254261612.

The spelling of 101668024 in words is "one hundred one million, six hundred sixty-eight thousand, twenty-four".

Divisors: 1 2 4 8 17 34 68 71 136 142 284 568 1207 2414 4828 9656 10529 21058 42116 84232 178993 357986 715972 747559 1431944 1495118 2990236 5980472 12708503 25417006 50834012 101668024