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221221112020 = 22511061055601
BaseRepresentation
bin1100111000000111001…
…1100100100011010100
3210011000021112212112021
43032001303210203110
512111030101041040
6245343320102524
721661031266156
oct3160163444324
9704007485467
10221221112020
1185901606807
1236a5a604a44
1317b269a08ac
14a9c8630ad6
155b4b4eb24a
hex3381ce48d4

221221112020 has 12 divisors (see below), whose sum is σ = 464564335284. Its totient is φ = 88488444800.

The previous prime is 221221112017. The next prime is 221221112023. The reversal of 221221112020 is 20211122122.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (221221112017) and next prime (221221112023).

It can be written as a sum of positive squares in 2 ways, for example, as 136756477636 + 84464634384 = 369806^2 + 290628^2 .

It is a junction number, because it is equal to n+sod(n) for n = 221221111985 and 221221112003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221221112023) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 5530527781 + ... + 5530527820.

It is an arithmetic number, because the mean of its divisors is an integer number (38713694607).

Almost surely, 2221221112020 is an apocalyptic number.

221221112020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221221112020 is an abundant number, since it is smaller than the sum of its proper divisors (243343223264).

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

221221112020 is a wasteful number, since it uses less digits than its factorization.

221221112020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11061055610 (or 11061055608 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 221221112020 its reverse (20211122122), we get a palindrome (241432234142).

The spelling of 221221112020 in words is "two hundred twenty-one billion, two hundred twenty-one million, one hundred twelve thousand, twenty".

Divisors: 1 2 4 5 10 20 11061055601 22122111202 44244222404 55305278005 110610556010 221221112020