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100113 = 31317151
BaseRepresentation
bin11000011100010001
312002022220
4120130101
511200423
62051253
7564606
oct303421
9162286
10100113
1169242
1249b29
1336750
14286ad
151e9e3
hex18711

100113 has 16 divisors (see below), whose sum is σ = 153216. Its totient is φ = 57600.

The previous prime is 100109. The next prime is 100129. The reversal of 100113 is 311001.

Adding to 100113 its reverse (311001), we get a palindrome (411114).

It is not a de Polignac number, because 100113 - 22 = 100109 is a prime.

It is a super-2 number, since 2×1001132 = 20045225538, which contains 22 as substring.

It is a Curzon number.

100113 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (100103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 588 + ... + 738.

It is an arithmetic number, because the mean of its divisors is an integer number (9576).

2100113 is an apocalyptic number.

100113 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

100113 is a deficient number, since it is larger than the sum of its proper divisors (53103).

100113 is a wasteful number, since it uses less digits than its factorization.

100113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184.

The product of its (nonzero) digits is 3, while the sum is 6.

The square root of 100113 is about 316.4063842592. The cubic root of 100113 is about 46.4333650728.

The spelling of 100113 in words is "one hundred thousand, one hundred thirteen".

Divisors: 1 3 13 17 39 51 151 221 453 663 1963 2567 5889 7701 33371 100113