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10042100200 = 2352114564591
BaseRepresentation
bin10010101101000111…
…00100100111101000
3221220211222112202001
421112203210213220
5131031234201300
64340245020344
7503565305026
oct112643444750
927824875661
1010042100200
11429355a570
121b430b46b4
13c4063ac32
146b39a1716
153db92716a
hex2568e49e8

10042100200 has 48 divisors (see below), whose sum is σ = 25470423360. Its totient is φ = 3651672000.

The previous prime is 10042100183. The next prime is 10042100203. The reversal of 10042100200 is 200124001.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (10042100203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2280096 + ... + 2284495.

It is an arithmetic number, because the mean of its divisors is an integer number (530633820).

Almost surely, 210042100200 is an apocalyptic number.

10042100200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10042100200 is an abundant number, since it is smaller than the sum of its proper divisors (15428323160).

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

10042100200 is a wasteful number, since it uses less digits than its factorization.

10042100200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4564618 (or 4564609 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 10042100200 its reverse (200124001), we get a palindrome (10242224201).

The spelling of 10042100200 in words is "ten billion, forty-two million, one hundred thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 200 220 275 440 550 1100 2200 4564591 9129182 18258364 22822955 36516728 45645910 50210501 91291820 100421002 114114775 182583640 200842004 228229550 251052505 401684008 456459100 502105010 912918200 1004210020 1255262525 2008420040 2510525050 5021050100 10042100200