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221020220210120 = 2355525505505253
BaseRepresentation
bin110010010000010001000111…
…101101101011101111001000
31001222120022211011102002110022
4302100101013231223233020
5212432143402333210440
62102023142031240012
764361120045132402
oct6220210755535710
91058508734362408
10221020220210120
1164473170361431
1220957248679008
13964316aa28306
143c81615933b72
151a8439a904cb5
hexc90447b6bbc8

221020220210120 has 16 divisors (see below), whose sum is σ = 497295495472860. Its totient is φ = 88408088084032.

The previous prime is 221020220210047. The next prime is 221020220210129. The reversal of 221020220210120 is 21012022020122.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 221018947290436 + 1272919684 = 14866706^2 + 35678^2 .

It is not an unprimeable number, because it can be changed into a prime (221020220210129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2762752752587 + ... + 2762752752666.

Almost surely, 2221020220210120 is an apocalyptic number.

221020220210120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221020220210120 is an abundant number, since it is smaller than the sum of its proper divisors (276275275262740).

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

221020220210120 is a wasteful number, since it uses less digits than its factorization.

221020220210120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5525505505264 (or 5525505505260 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 221020220210120 its reverse (21012022020122), we get a palindrome (242032242230242).

The spelling of 221020220210120 in words is "two hundred twenty-one trillion, twenty billion, two hundred twenty million, two hundred ten thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 5525505505253 11051011010506 22102022021012 27627527526265 44204044042024 55255055052530 110510110105060 221020220210120