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22010122181 is a prime number
BaseRepresentation
bin10100011111111001…
…111100111111000101
32002210220221001111102
4110133321330333011
5330034042402211
614040013145445
71406300644265
oct243771747705
962726831442
1022010122181
11937515a623
12432318b285
1320c9c87348
1410cb2577a5
1588c47ca3b
hex51fe7cfc5

22010122181 has 2 divisors, whose sum is σ = 22010122182. Its totient is φ = 22010122180.

The previous prime is 22010122157. The next prime is 22010122219. The reversal of 22010122181 is 18122101022.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 14192909956 + 7817212225 = 119134^2 + 88415^2 .

It is a cyclic number.

It is not a de Polignac number, because 22010122181 - 226 = 21943013317 is a prime.

It is a super-2 number, since 2×220101221812 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (22010122111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11005061090 + 11005061091.

It is an arithmetic number, because the mean of its divisors is an integer number (11005061091).

Almost surely, 222010122181 is an apocalyptic number.

It is an amenable number.

22010122181 is a deficient number, since it is larger than the sum of its proper divisors (1).

22010122181 is an equidigital number, since it uses as much as digits as its factorization.

22010122181 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 128, while the sum is 20.

The spelling of 22010122181 in words is "twenty-two billion, ten million, one hundred twenty-two thousand, one hundred eighty-one".