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22122210202101 = 326157329702881
BaseRepresentation
bin1010000011110101110100…
…11110110001000111110101
32220022212021212100212102100
411001322322132301013311
510344422241302431401
6115014445243532313
74442163664062162
oct501727236610765
986285255325370
1022122210202101
117059a81a30549
12259352352a099
13c461668c6659
14566a137c9069
152856b1d9db86
hex141eba7b11f5

22122210202101 has 24 divisors (see below), whose sum is σ = 32478757398360. Its totient is φ = 14506093670400.

The previous prime is 22122210202061. The next prime is 22122210202121. The reversal of 22122210202101 is 10120201222122.

It is a happy number.

22122210202101 is a `hidden beast` number, since 2 + 212 + 221 + 0 + 20 + 210 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 131747220900 + 21990462981201 = 362970^2 + 4689399^2 .

It is not a de Polignac number, because 22122210202101 - 230 = 22121136460277 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22122210202121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31122181 + ... + 31825061.

It is an arithmetic number, because the mean of its divisors is an integer number (1353281558265).

Almost surely, 222122210202101 is an apocalyptic number.

It is an amenable number.

22122210202101 is a deficient number, since it is larger than the sum of its proper divisors (10356547196259).

22122210202101 is a wasteful number, since it uses less digits than its factorization.

22122210202101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 760277 (or 760274 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 22122210202101 its reverse (10120201222122), we get a palindrome (32242411424223).

The spelling of 22122210202101 in words is "twenty-two trillion, one hundred twenty-two billion, two hundred ten million, two hundred two thousand, one hundred one".

Divisors: 1 3 9 61 183 549 57329 171987 515961 702881 2108643 3497069 6325929 10491207 31473621 42875741 128627223 385881669 40295464849 120886394547 362659183641 2458023355789 7374070067367 22122210202101