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221122010020 = 22517650358853
BaseRepresentation
bin1100110111101111100…
…1100001101110100100
3210010202101001222010211
43031323321201232210
512110324213310040
6245325420025204
721655416034102
oct3157371415644
9703671058124
10221122010020
1185860678a2a
1236a31392204
1317b0c2b2a62
14a9b93d4c72
155b429728ea
hex337be61ba4

221122010020 has 24 divisors (see below), whose sum is σ = 491671293624. Its totient is φ = 83245933056.

The previous prime is 221122009981. The next prime is 221122010023. The reversal of 221122010020 is 20010221122.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 39067894336 + 182054115684 = 197656^2 + 426678^2 .

It is not an unprimeable number, because it can be changed into a prime (221122010023) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 325179087 + ... + 325179766.

It is an arithmetic number, because the mean of its divisors is an integer number (20486303901).

Almost surely, 2221122010020 is an apocalyptic number.

221122010020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221122010020 is an abundant number, since it is smaller than the sum of its proper divisors (270549283604).

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

221122010020 is a wasteful number, since it uses less digits than its factorization.

221122010020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 650358879 (or 650358877 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 221122010020 its reverse (20010221122), we get a palindrome (241132231142).

The spelling of 221122010020 in words is "two hundred twenty-one billion, one hundred twenty-two million, ten thousand, twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 650358853 1300717706 2601435412 3251794265 6503588530 11056100501 13007177060 22112201002 44224402004 55280502505 110561005010 221122010020