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200032022100042 = 232111010262737879
BaseRepresentation
bin101101011110110110010101…
…100111101111100001001010
3222020020212121112212021201200
4231132312111213233201022
5202204311040124200132
61545233235314125030
760063556660551666
oct5536662547574112
9866225545767650
10200032022100042
1158811116719040
121a527667580776
13877cc28568582
14375785c83b8a6
15181d45a493d7c
hexb5ed959ef84a

200032022100042 has 24 divisors (see below), whose sum is σ = 472802961327840. Its totient is φ = 60615764272680.

The previous prime is 200032022100041. The next prime is 200032022100091. The reversal of 200032022100042 is 240001220230002.

200032022100042 is a `hidden beast` number, since 200 + 0 + 320 + 2 + 2 + 100 + 0 + 42 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 200032022099988 and 200032022100024.

It is not an unprimeable number, because it can be changed into a prime (200032022100041) 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, 505131368742 + ... + 505131369137.

It is an arithmetic number, because the mean of its divisors is an integer number (19700123388660).

Almost surely, 2200032022100042 is an apocalyptic number.

200032022100042 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

200032022100042 is an abundant number, since it is smaller than the sum of its proper divisors (272770939227798).

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

200032022100042 is a wasteful number, since it uses less digits than its factorization.

200032022100042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1010262737898 (or 1010262737895 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 200032022100042 its reverse (240001220230002), we get a palindrome (440033242330044).

The spelling of 200032022100042 in words is "two hundred trillion, thirty-two billion, twenty-two million, one hundred thousand, forty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 1010262737879 2020525475758 3030788213637 6061576427274 9092364640911 11112890116669 18184729281822 22225780233338 33338670350007 66677340700014 100016011050021 200032022100042