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123220014241 = 4110140497349
BaseRepresentation
bin111001011000001111…
…1000011010010100001
3102210001102012021122011
41302300133003102201
54004323310423431
6132335000312521
711621335561012
oct1626037032241
9383042167564
10123220014241
1148291538515
121ba6a172741
13b80934293c
145d6cc61009
153312a08cb1
hex1cb07c34a1

123220014241 has 16 divisors (see below), whose sum is σ = 127523970000. Its totient is φ = 118978816000.

The previous prime is 123220014223. The next prime is 123220014251. The reversal of 123220014241 is 142410022321.

It can be written as a sum of positive squares in 8 ways, for example, as 86397025 + 123133617216 = 9295^2 + 350904^2 .

It is a cyclic number.

It is not a de Polignac number, because 123220014241 - 215 = 123219981473 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (123220014251) 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 in 15 ways as a sum of consecutive naturals, for example, 16763235 + ... + 16770583.

It is an arithmetic number, because the mean of its divisors is an integer number (7970248125).

Almost surely, 2123220014241 is an apocalyptic number.

It is an amenable number.

123220014241 is a deficient number, since it is larger than the sum of its proper divisors (4303955759).

123220014241 is a wasteful number, since it uses less digits than its factorization.

123220014241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11540.

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 123220014241 its reverse (142410022321), we get a palindrome (265630036562).

The spelling of 123220014241 in words is "one hundred twenty-three billion, two hundred twenty million, fourteen thousand, two hundred forty-one".

Divisors: 1 41 101 4049 4141 7349 166009 301309 408949 742249 16766909 29756101 30432209 1220000141 3005366201 123220014241