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100013220031 = 163613578037
BaseRepresentation
bin101110100100101000…
…0001010000010111111
3100120011002111222201111
41131021100022002333
53114311341020111
6113540114222451
710140264225604
oct1351120120277
9316132458644
10100013220031
113946294554a
1217472284a27
13957b48ab4a
144baab026ab
15290549ba21
hex174940a0bf

100013220031 has 4 divisors (see below), whose sum is σ = 100626798232. Its totient is φ = 99399641832.

The previous prime is 100013220029. The next prime is 100013220059. The reversal of 100013220031 is 130022310001.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is not a de Polignac number, because 100013220031 - 21 = 100013220029 is a prime.

It is a super-2 number, since 2×1000132200312 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100013219993 and 100013220020.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100013220061) 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 3 ways as a sum of consecutive naturals, for example, 306788856 + ... + 306789181.

It is an arithmetic number, because the mean of its divisors is an integer number (25156699558).

Almost surely, 2100013220031 is an apocalyptic number.

100013220031 is a deficient number, since it is larger than the sum of its proper divisors (613578201).

100013220031 is an equidigital number, since it uses as much as digits as its factorization.

100013220031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 613578200.

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 100013220031 its reverse (130022310001), we get a palindrome (230035530032).

The spelling of 100013220031 in words is "one hundred billion, thirteen million, two hundred twenty thousand, thirty-one".

Divisors: 1 163 613578037 100013220031