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100023117 = 3294326737
BaseRepresentation
bin1011111011000…
…11101101001101
320222012200220220
411331203231031
5201101214432
613531501553
72323116405
oct575435515
9228180826
10100023117
1151507937
12295b78b9
131795119c
14d3d9805
158bab72c
hex5f63b4d

100023117 has 16 divisors (see below), whose sum is σ = 141176640. Its totient is φ = 62883072.

The previous prime is 100023109. The next prime is 100023127. The reversal of 100023117 is 711320001.

It is not a de Polignac number, because 100023117 - 23 = 100023109 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100023096 and 100023105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100023127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9628 + ... + 17109.

It is an arithmetic number, because the mean of its divisors is an integer number (8823540).

Almost surely, 2100023117 is an apocalyptic number.

It is an amenable number.

100023117 is a deficient number, since it is larger than the sum of its proper divisors (41153523).

100023117 is a wasteful number, since it uses less digits than its factorization.

100023117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26812.

The product of its (nonzero) digits is 42, while the sum is 15.

The square root of 100023117 is about 10001.1557832083. The cubic root of 100023117 is about 464.1946471419.

Adding to 100023117 its reverse (711320001), we get a palindrome (811343118).

The spelling of 100023117 in words is "one hundred million, twenty-three thousand, one hundred seventeen".

Divisors: 1 3 29 43 87 129 1247 3741 26737 80211 775373 1149691 2326119 3449073 33341039 100023117