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202221202111220 = 22510111060105561
BaseRepresentation
bin101101111110101101001010…
…111010101111101011110100
3222112000011021021021102212102
4231332231022322233223310
5203001143010220024340
61554031045431241232
760410666621614115
oct5576551272575364
9875004237242772
10202221202111220
11594855917722a6
121a81b9a7519218
1388ab4ba5a0456
1437d17b639a20c
15185a386a63215
hexb7eb4aeafaf4

202221202111220 has 12 divisors (see below), whose sum is σ = 424664524433604. Its totient is φ = 80888480844480.

The previous prime is 202221202111147. The next prime is 202221202111283. The reversal of 202221202111220 is 22111202122202.

It can be written as a sum of positive squares in 2 ways, for example, as 59151757876324 + 143069444234896 = 7691018^2 + 11961164^2 .

It is a Harshad number since it is a multiple of its sum of digits (20), and also a Moran number because the ratio is a prime number: 10111060105561 = 202221202111220 / (2 + 0 + 2 + 2 + 2 + 1 + 2 + 0 + 2 + 1 + 1 + 1 + 2 + 2 + 0).

It is a junction number, because it is equal to n+sod(n) for n = 202221202111192 and 202221202111201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5055530052761 + ... + 5055530052800.

It is an arithmetic number, because the mean of its divisors is an integer number (35388710369467).

Almost surely, 2202221202111220 is an apocalyptic number.

202221202111220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202221202111220 is an abundant number, since it is smaller than the sum of its proper divisors (222443322322384).

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

202221202111220 is a wasteful number, since it uses less digits than its factorization.

202221202111220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10111060105570 (or 10111060105568 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 202221202111220 its reverse (22111202122202), we get a palindrome (224332404233422).

The spelling of 202221202111220 in words is "two hundred two trillion, two hundred twenty-one billion, two hundred two million, one hundred eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 10111060105561 20222120211122 40444240422244 50555300527805 101110601055610 202221202111220