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122621107241 = 533177298441
BaseRepresentation
bin111001000110011001…
…0011001110000101001
3102201111200020122200102
41302030302121300221
54002112000412431
6132155323515145
711600444133323
oct1621462316051
9381450218612
10122621107241
1148004466856
121b921688ab5
13b74223a6b9
145d134c0613
1532ca154dcb
hex1c8cc99c29

122621107241 has 8 divisors (see below), whose sum is σ = 125328846024. Its totient is φ = 119927966080.

The previous prime is 122621107237. The next prime is 122621107333. The reversal of 122621107241 is 142701126221.

It can be written as a sum of positive squares in 4 ways, for example, as 18955782400 + 103665324841 = 137680^2 + 321971^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 122621107241 - 22 = 122621107237 is a prime.

It is not an unprimeable number, because it can be changed into a prime (122621100241) 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 7 ways as a sum of consecutive naturals, for example, 3632420 + ... + 3666021.

It is an arithmetic number, because the mean of its divisors is an integer number (15666105753).

Almost surely, 2122621107241 is an apocalyptic number.

It is an amenable number.

122621107241 is a deficient number, since it is larger than the sum of its proper divisors (2707738783).

122621107241 is an equidigital number, since it uses as much as digits as its factorization.

122621107241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7298811.

The product of its (nonzero) digits is 2688, while the sum is 29.

The spelling of 122621107241 in words is "one hundred twenty-two billion, six hundred twenty-one million, one hundred seven thousand, two hundred forty-one".

Divisors: 1 53 317 16801 7298441 386817373 2313605797 122621107241