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220210022200122 = 23212233890122229
BaseRepresentation
bin110010000100011110100100…
…001001100011001100111010
31001212200212120001220202200200
4302010132210021203030322
5212330410111140400442
62100203030532143030
764245435430516653
oct6204364411431472
91055625501822620
10220210022200122
11641906007398a9
1220846216a67a76
1395b4940052bc6
143c5431702452a
151a6d27c19034c
hexc847a426333a

220210022200122 has 12 divisors (see below), whose sum is σ = 477121714766970. Its totient is φ = 73403340733368.

The previous prime is 220210022200093. The next prime is 220210022200123. The reversal of 220210022200122 is 221002220012022.

220210022200122 is a `hidden beast` number, since 220 + 2 + 100 + 2 + 220 + 0 + 122 = 666.

It can be written as a sum of positive squares in only one way, i.e., 214982484122961 + 5227538077161 = 14662281^2 + 2286381^2 .

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 12233890122229 = 220210022200122 / (2 + 2 + 0 + 2 + 1 + 0 + 0 + 2 + 2 + 2 + 0 + 0 + 1 + 2 + 2).

It is a junction number, because it is equal to n+sod(n) for n = 220210022200095 and 220210022200104.

It is not an unprimeable number, because it can be changed into a prime (220210022200123) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6116945061097 + ... + 6116945061132.

Almost surely, 2220210022200122 is an apocalyptic number.

220210022200122 is an abundant number, since it is smaller than the sum of its proper divisors (256911692566848).

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

220210022200122 is a wasteful number, since it uses less digits than its factorization.

220210022200122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12233890122237 (or 12233890122234 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 220210022200122 its reverse (221002220012022), we get a palindrome (441212242212144).

The spelling of 220210022200122 in words is "two hundred twenty trillion, two hundred ten billion, twenty-two million, two hundred thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 12233890122229 24467780244458 36701670366687 73403340733374 110105011100061 220210022200122