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102222412241 = 172734845353
BaseRepresentation
bin101111100110011101…
…1100011100111010001
3100202212001111120201012
41133030323203213101
53133322414142431
6114543233020305
710246111111325
oct1371473434721
9322761446635
10102222412241
113a396983334
121798a0b4695
13984108a481
144d3a293985
1529d43d222b
hex17ccee39d1

102222412241 has 12 divisors (see below), whose sum is σ = 110076752172. Its totient is φ = 94891373568.

The previous prime is 102222412231. The next prime is 102222412273. The reversal of 102222412241 is 142214222201.

It can be written as a sum of positive squares in 6 ways, for example, as 20426412241 + 81796000000 = 142921^2 + 286000^2 .

It is a de Polignac number, because none of the positive numbers 2k-102222412241 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102222412211) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2401580 + ... + 2443773.

It is an arithmetic number, because the mean of its divisors is an integer number (9173062681).

Almost surely, 2102222412241 is an apocalyptic number.

It is an amenable number.

102222412241 is a deficient number, since it is larger than the sum of its proper divisors (7854339931).

102222412241 is an equidigital number, since it uses as much as digits as its factorization.

102222412241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4845460 (or 4845443 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 23.

Adding to 102222412241 its reverse (142214222201), we get a palindrome (244436634442).

The spelling of 102222412241 in words is "one hundred two billion, two hundred twenty-two million, four hundred twelve thousand, two hundred forty-one".

Divisors: 1 17 73 289 1241 21097 4845353 82371001 353710769 1400307017 6013083073 102222412241