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202221001211021 = 1317253825126753
BaseRepresentation
bin101101111110101100111110…
…111100010111110010001101
3222112000010202021020122121022
4231332230332330113302031
5203001142102302223041
61554031013453243525
760410661632160212
oct5576547674276215
9875003667218538
10202221001211021
1159485499324a81
121a81b9501935a5
1388ab487a8c4b0
1437d1797821b09
15185a3740cc24b
hexb7eb3ef17c8d

202221001211021 has 12 divisors (see below), whose sum is σ = 231340394788692. Its totient is φ = 175685213718528.

The previous prime is 202221001210999. The next prime is 202221001211027. The reversal of 202221001211021 is 120112100122202.

It can be written as a sum of positive squares in 6 ways, for example, as 32139261722500 + 170081739488521 = 5669150^2 + 13041539^2 .

It is not a de Polignac number, because 202221001211021 - 226 = 202220934102157 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202221001211027) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 26912559620 + ... + 26912567133.

It is an arithmetic number, because the mean of its divisors is an integer number (19278366232391).

Almost surely, 2202221001211021 is an apocalyptic number.

It is an amenable number.

202221001211021 is a deficient number, since it is larger than the sum of its proper divisors (29119393577671).

202221001211021 is a wasteful number, since it uses less digits than its factorization.

202221001211021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53825126800 (or 53825126783 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 202221001211021 its reverse (120112100122202), we get a palindrome (322333101333223).

The spelling of 202221001211021 in words is "two hundred two trillion, two hundred twenty-one billion, one million, two hundred eleven thousand, twenty-one".

Divisors: 1 13 17 221 289 3757 53825126753 699726647789 915027154801 11895353012413 15555461631617 202221001211021