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12414106417 is a prime number
BaseRepresentation
bin10111000111111000…
…00011101100110001
31012001011022221120011
423203330003230301
5200411002401132
65411501214521
7616430110036
oct134374035461
935034287504
1012414106417
1152a0491989
1224a5561441
13122aba4acb
1485aa1538d
154c9cbdb47
hex2e3f03b31

12414106417 has 2 divisors, whose sum is σ = 12414106418. Its totient is φ = 12414106416.

The previous prime is 12414106391. The next prime is 12414106427. The reversal of 12414106417 is 71460141421.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6417772321 + 5996334096 = 80111^2 + 77436^2 .

It is a cyclic number.

It is not a de Polignac number, because 12414106417 - 215 = 12414073649 is a prime.

It is a super-2 number, since 2×124141064172 (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (12414106427) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6207053208 + 6207053209.

It is an arithmetic number, because the mean of its divisors is an integer number (6207053209).

Almost surely, 212414106417 is an apocalyptic number.

It is an amenable number.

12414106417 is a deficient number, since it is larger than the sum of its proper divisors (1).

12414106417 is an equidigital number, since it uses as much as digits as its factorization.

12414106417 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5376, while the sum is 31.

Adding to 12414106417 its reverse (71460141421), we get a palindrome (83874247838).

The spelling of 12414106417 in words is "twelve billion, four hundred fourteen million, one hundred six thousand, four hundred seventeen".