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10042400200 = 235277173143
BaseRepresentation
bin10010101101001001…
…01101110111001000
3221220212112210021011
421112210231313020
5131031323301300
64340255253304
7503600664460
oct112644556710
927825483234
1010042400200
1142937449a8
121b4321a234
13c40714651
146b3a3cba0
153db985eba
hex25692ddc8

10042400200 has 48 divisors (see below), whose sum is σ = 26684095680. Its totient is φ = 3443108160.

The previous prime is 10042400189. The next prime is 10042400273. The reversal of 10042400200 is 200424001.

10042400200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 3585172 + ... + 3587971.

It is an arithmetic number, because the mean of its divisors is an integer number (555918660).

Almost surely, 210042400200 is an apocalyptic number.

10042400200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10042400200 is an abundant number, since it is smaller than the sum of its proper divisors (16641695480).

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

10042400200 is a wasteful number, since it uses less digits than its factorization.

10042400200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7173166 (or 7173157 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

Adding to 10042400200 its reverse (200424001), we get a palindrome (10242824201).

The spelling of 10042400200 in words is "ten billion, forty-two million, four hundred thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 200 280 350 700 1400 7173143 14346286 28692572 35865715 50212001 57385144 71731430 100424002 143462860 179328575 200848004 251060005 286925720 358657150 401696008 502120010 717314300 1004240020 1255300025 1434628600 2008480040 2510600050 5021200100 10042400200