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189322123121 is a prime number
BaseRepresentation
bin1011000001010001111…
…0100101011101110001
3200002200011222100002222
42300110132211131301
511100212430414441
6222550130050425
716451402331425
oct2602436453561
9602604870088
10189322123121
117332244826a
1230837719a15
1314b1206a231
14923dd02b85
154dd0d13d4b
hex2c147a5771

189322123121 has 2 divisors, whose sum is σ = 189322123122. Its totient is φ = 189322123120.

The previous prime is 189322123103. The next prime is 189322123127. The reversal of 189322123121 is 121321223981.

189322123121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 183129220096 + 6192903025 = 427936^2 + 78695^2 .

It is an emirp because it is prime and its reverse (121321223981) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 189322123121 - 210 = 189322122097 is a prime.

It is not a weakly prime, because it can be changed into another prime (189322123127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 94661061560 + 94661061561.

It is an arithmetic number, because the mean of its divisors is an integer number (94661061561).

Almost surely, 2189322123121 is an apocalyptic number.

It is an amenable number.

189322123121 is a deficient number, since it is larger than the sum of its proper divisors (1).

189322123121 is an equidigital number, since it uses as much as digits as its factorization.

189322123121 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 10368, while the sum is 35.

The spelling of 189322123121 in words is "one hundred eighty-nine billion, three hundred twenty-two million, one hundred twenty-three thousand, one hundred twenty-one".