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100116023310 = 23251112400259
BaseRepresentation
bin101110100111101100…
…0010100100000001110
3100120102020221221022100
41131033120110200032
53120014200221220
6113554225455530
710142653104612
oct1351730244016
9316366857270
10100116023310
1139505981136
12174a07a15a6
1395968735a4
144bba623342
15290e506d90
hex174f61480e

100116023310 has 24 divisors (see below), whose sum is σ = 260301660840. Its totient is φ = 26697606192.

The previous prime is 100116023281. The next prime is 100116023321. The reversal of 100116023310 is 13320611001.

100116023310 is a `hidden beast` number, since 10 + 0 + 11 + 602 + 33 + 10 = 666.

It is a super-2 number, since 2×1001160233102 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 556200040 + ... + 556200219.

It is an arithmetic number, because the mean of its divisors is an integer number (10845902535).

Almost surely, 2100116023310 is an apocalyptic number.

100116023310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100116023310 is an abundant number, since it is smaller than the sum of its proper divisors (160185637530).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100116023310 is a wasteful number, since it uses less digits than its factorization.

100116023310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1112400272 (or 1112400269 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 100116023310 its reverse (13320611001), we get a palindrome (113436634311).

The spelling of 100116023310 in words is "one hundred billion, one hundred sixteen million, twenty-three thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 1112400259 2224800518 3337200777 5562001295 6674401554 10011602331 11124002590 16686003885 20023204662 33372007770 50058011655 100116023310