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100684001 = 1131503587
BaseRepresentation
bin1100000000001…
…01000011100001
321000110021111002
412000011003201
5201233342001
613554001345
72331541235
oct600050341
9230407432
10100684001
1151919420
1229876255
1317b22c42
14d52c5c5
158c8c46b
hex60050e1

100684001 has 16 divisors (see below), whose sum is σ = 113799168. Its totient is φ = 88251600.

The previous prime is 100683937. The next prime is 100684019. The reversal of 100684001 is 100486001.

It is a cyclic number.

It is not a de Polignac number, because 100684001 - 26 = 100683937 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100681001) 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, 171230 + ... + 171816.

It is an arithmetic number, because the mean of its divisors is an integer number (7112448).

Almost surely, 2100684001 is an apocalyptic number.

100684001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100684001 is a deficient number, since it is larger than the sum of its proper divisors (13115167).

100684001 is a wasteful number, since it uses less digits than its factorization.

100684001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1132.

The product of its (nonzero) digits is 192, while the sum is 20.

The square root of 100684001 is about 10034.1417669873. The cubic root of 100684001 is about 465.2147633993.

The spelling of 100684001 in words is "one hundred million, six hundred eighty-four thousand, one".

Divisors: 1 11 31 341 503 587 5533 6457 15593 18197 171523 200167 295261 3247871 9153091 100684001