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21922905164101 is a prime number
BaseRepresentation
bin1001111110000010100101…
…11110011000100101000101
32212121210211221202220120021
410333001102332120211011
510333141102210222401
6114343124341135141
74421610012154354
oct477012276304505
985553757686507
1021922905164101
116a924a7488607
1225609806ba4b1
13c304235716c6
1455b107b2d99b
152803e99542a1
hex13f052f98945

21922905164101 has 2 divisors, whose sum is σ = 21922905164102. Its totient is φ = 21922905164100.

The previous prime is 21922905164063. The next prime is 21922905164179. The reversal of 21922905164101 is 10146150922912.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 19231996284900 + 2690908879201 = 4385430^2 + 1640399^2 .

It is a cyclic number.

It is not a de Polignac number, because 21922905164101 - 213 = 21922905155909 is a prime.

It is a super-2 number, since 2×219229051641012 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (21922905164191) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10961452582050 + 10961452582051.

It is an arithmetic number, because the mean of its divisors is an integer number (10961452582051).

Almost surely, 221922905164101 is an apocalyptic number.

It is an amenable number.

21922905164101 is a deficient number, since it is larger than the sum of its proper divisors (1).

21922905164101 is an equidigital number, since it uses as much as digits as its factorization.

21922905164101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 77760, while the sum is 43.

The spelling of 21922905164101 in words is "twenty-one trillion, nine hundred twenty-two billion, nine hundred five million, one hundred sixty-four thousand, one hundred one".