Search a number
-
+
112202122129 is a prime number
BaseRepresentation
bin110100001111111000…
…1001000001110010001
3101201121120002101000221
41220133301020032101
53314242220402004
6123313412513041
711051321205406
oct1503761101621
9351546071027
10112202122129
114364819a059
12198b431b781
13a7717c2456
1456058542ad
152dba5d3354
hex1a1fc48391

112202122129 has 2 divisors, whose sum is σ = 112202122130. Its totient is φ = 112202122128.

The previous prime is 112202122121. The next prime is 112202122139. The reversal of 112202122129 is 921221202211.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 80783850625 + 31418271504 = 284225^2 + 177252^2 .

It is a cyclic number.

It is not a de Polignac number, because 112202122129 - 23 = 112202122121 is a prime.

It is not a weakly prime, because it can be changed into another prime (112202122121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56101061064 + 56101061065.

It is an arithmetic number, because the mean of its divisors is an integer number (56101061065).

Almost surely, 2112202122129 is an apocalyptic number.

It is an amenable number.

112202122129 is a deficient number, since it is larger than the sum of its proper divisors (1).

112202122129 is an equidigital number, since it uses as much as digits as its factorization.

112202122129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 576, while the sum is 25.

The spelling of 112202122129 in words is "one hundred twelve billion, two hundred two million, one hundred twenty-two thousand, one hundred twenty-nine".