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100976997 = 3118934381
BaseRepresentation
bin1100000010011…
…00100101100101
321001000011101210
412001030211211
5201322230442
614004142033
72334201402
oct601144545
9231004353
10100976997
1151aa9570
1229997919
1317bc6404
14d5a72a9
158ce919c
hex604c965

100976997 has 16 divisors (see below), whose sum is σ = 148530240. Its totient is φ = 60508800.

The previous prime is 100976989. The next prime is 100976999. The reversal of 100976997 is 799679001.

It is not a de Polignac number, because 100976997 - 23 = 100976989 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100976999) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14254 + ... + 20127.

It is an arithmetic number, because the mean of its divisors is an integer number (9283140).

Almost surely, 2100976997 is an apocalyptic number.

It is an amenable number.

100976997 is a deficient number, since it is larger than the sum of its proper divisors (47553243).

100976997 is a wasteful number, since it uses less digits than its factorization.

100976997 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34484.

The product of its (nonzero) digits is 214326, while the sum is 48.

The square root of 100976997 is about 10048.7311139268. The cubic root of 100976997 is about 465.6655932479.

The spelling of 100976997 in words is "one hundred million, nine hundred seventy-six thousand, nine hundred ninety-seven".

Divisors: 1 3 11 33 89 267 979 2937 34381 103143 378191 1134573 3059909 9179727 33658999 100976997