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22122222100129 is a prime number
BaseRepresentation
bin1010000011110101110110…
…01100001001111010100001
32220022212022200202100110001
411001322323030021322201
510344422302324201004
6115014450350540001
74442164200155254
oct501727314117241
986285280670401
1022122222100129
117059a88717728
122593527507601
13c461692010c8
14566a1520509b
152856b2e4e1a4
hex141ebb309ea1

22122222100129 has 2 divisors, whose sum is σ = 22122222100130. Its totient is φ = 22122222100128.

The previous prime is 22122222100049. The next prime is 22122222100159. The reversal of 22122222100129 is 92100122222122.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11682040410000 + 10440181690129 = 3417900^2 + 3231127^2 .

It is a cyclic number.

It is not a de Polignac number, because 22122222100129 - 29 = 22122222099617 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 22122222100097 and 22122222100106.

It is not a weakly prime, because it can be changed into another prime (22122222100159) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11061111050064 + 11061111050065.

It is an arithmetic number, because the mean of its divisors is an integer number (11061111050065).

Almost surely, 222122222100129 is an apocalyptic number.

It is an amenable number.

22122222100129 is a deficient number, since it is larger than the sum of its proper divisors (1).

22122222100129 is an equidigital number, since it uses as much as digits as its factorization.

22122222100129 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2304, while the sum is 28.

The spelling of 22122222100129 in words is "twenty-two trillion, one hundred twenty-two billion, two hundred twenty-two million, one hundred thousand, one hundred twenty-nine".