Search a number
-
+
122885185567 is a prime number
BaseRepresentation
bin111001001110010000…
…1110010000000011111
3102202012002011020001011
41302130201302000133
54003132101414232
6132241440000051
711610131562064
oct1623441620037
9382162136034
10122885185567
114812a535801
121b996000027
13b784b6c071
145d3a5c2c6b
1532e341a547
hex1c9c87201f

122885185567 has 2 divisors, whose sum is σ = 122885185568. Its totient is φ = 122885185566.

The previous prime is 122885185523. The next prime is 122885185573. The reversal of 122885185567 is 765581588221.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-122885185567 is a prime.

It is a super-2 number, since 2×1228851855672 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122885185067) 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, 61442592783 + 61442592784.

It is an arithmetic number, because the mean of its divisors is an integer number (61442592784).

Almost surely, 2122885185567 is an apocalyptic number.

122885185567 is a deficient number, since it is larger than the sum of its proper divisors (1).

122885185567 is an equidigital number, since it uses as much as digits as its factorization.

122885185567 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 10752000, while the sum is 58.

The spelling of 122885185567 in words is "one hundred twenty-two billion, eight hundred eighty-five million, one hundred eighty-five thousand, five hundred sixty-seven".