Search a number
-
+
122022101129 is a prime number
BaseRepresentation
bin111000110100100010…
…1011000000010001001
3102122221221002222202212
41301221011120002021
53444400124214004
6132020045034505
711546551513655
oct1615105300211
9378857088685
10122022101129
1147827327685
121b794b55a35
13b6780cc306
145c97b15a65
15329278196e
hex1c69158089

122022101129 has 2 divisors, whose sum is σ = 122022101130. Its totient is φ = 122022101128.

The previous prime is 122022101107. The next prime is 122022101137. The reversal of 122022101129 is 921101220221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 70958304400 + 51063796729 = 266380^2 + 225973^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-122022101129 is a prime.

It is not a weakly prime, because it can be changed into another prime (122022101189) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61011050564 + 61011050565.

It is an arithmetic number, because the mean of its divisors is an integer number (61011050565).

Almost surely, 2122022101129 is an apocalyptic number.

It is an amenable number.

122022101129 is a deficient number, since it is larger than the sum of its proper divisors (1).

122022101129 is an equidigital number, since it uses as much as digits as its factorization.

122022101129 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 288, while the sum is 23.

The spelling of 122022101129 in words is "one hundred twenty-two billion, twenty-two million, one hundred one thousand, one hundred twenty-nine".