Search a number
-
+
22121000979929 is a prime number
BaseRepresentation
bin1010000011110011100100…
…11001111100110111011001
32220022202011121000000102222
411001321302121330313121
510344412302222324204
6115014125250033425
74442122011624125
oct501716231746731
986282147000388
1022121000979929
1170595113a5a85
122593246578875
13c46003223687
1456693ad78585
15285640b40abe
hex141e7267cdd9

22121000979929 has 2 divisors, whose sum is σ = 22121000979930. Its totient is φ = 22121000979928.

The previous prime is 22121000979817. The next prime is 22121000979943. The reversal of 22121000979929 is 92997900012122.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 20145303675904 + 1975697304025 = 4488352^2 + 1405595^2 .

It is a cyclic number.

It is not a de Polignac number, because 22121000979929 - 216 = 22121000914393 is a prime.

It is not a weakly prime, because it can be changed into another prime (22121000978929) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11060500489964 + 11060500489965.

It is an arithmetic number, because the mean of its divisors is an integer number (11060500489965).

Almost surely, 222121000979929 is an apocalyptic number.

It is an amenable number.

22121000979929 is a deficient number, since it is larger than the sum of its proper divisors (1).

22121000979929 is an equidigital number, since it uses as much as digits as its factorization.

22121000979929 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 734832, while the sum is 53.

The spelling of 22121000979929 in words is "twenty-two trillion, one hundred twenty-one billion, nine hundred seventy-nine thousand, nine hundred twenty-nine".