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122316434401 = 717473776343
BaseRepresentation
bin111000111101010100…
…0001010101111100001
3102200201102221200010011
41301322220022233201
54001001001400101
6132105201404521
711560054352320
oct1617250125741
9380642850104
10122316434401
1147968490617
121b857639741
13b6c4094a05
145cc4c520b7
1532ad521751
hex1c7aa0abe1

122316434401 has 4 divisors (see below), whose sum is σ = 139790210752. Its totient is φ = 104842658052.

The previous prime is 122316434381. The next prime is 122316434417. The reversal of 122316434401 is 104434613221.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-122316434401 is a prime.

It is a super-2 number, since 2×1223164344012 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (122316434441) 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 in 3 ways as a sum of consecutive naturals, for example, 8736888165 + ... + 8736888178.

It is an arithmetic number, because the mean of its divisors is an integer number (34947552688).

Almost surely, 2122316434401 is an apocalyptic number.

It is an amenable number.

122316434401 is a deficient number, since it is larger than the sum of its proper divisors (17473776351).

122316434401 is an equidigital number, since it uses as much as digits as its factorization.

122316434401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17473776350.

The product of its (nonzero) digits is 13824, while the sum is 31.

The spelling of 122316434401 in words is "one hundred twenty-two billion, three hundred sixteen million, four hundred thirty-four thousand, four hundred one".

Divisors: 1 7 17473776343 122316434401