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22001052893137 is a prime number
BaseRepresentation
bin1010000000010100001001…
…11100010011111111010001
32212220021120012111212110221
411000022010330103333101
510340431124020040022
6114443051050153041
74430344412665153
oct500120474237721
985807505455427
1022001052893137
11701265987903a
122573b50122781
13c378c8a144a6
14560bdc8a6ad3
152824704e1cc7
hex140284f13fd1

22001052893137 has 2 divisors, whose sum is σ = 22001052893138. Its totient is φ = 22001052893136.

The previous prime is 22001052893123. The next prime is 22001052893219. The reversal of 22001052893137 is 73139825010022.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 20758220342161 + 1242832550976 = 4556119^2 + 1114824^2 .

It is a cyclic number.

It is not a de Polignac number, because 22001052893137 - 27 = 22001052893009 is a prime.

It is a super-3 number, since 3×220010528931373 (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 22001052893093 and 22001052893102.

It is not a weakly prime, because it can be changed into another prime (22001052893107) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11000526446568 + 11000526446569.

It is an arithmetic number, because the mean of its divisors is an integer number (11000526446569).

Almost surely, 222001052893137 is an apocalyptic number.

It is an amenable number.

22001052893137 is a deficient number, since it is larger than the sum of its proper divisors (1).

22001052893137 is an equidigital number, since it uses as much as digits as its factorization.

22001052893137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 181440, while the sum is 43.

The spelling of 22001052893137 in words is "twenty-two trillion, one billion, fifty-two million, eight hundred ninety-three thousand, one hundred thirty-seven".