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112414134401 is a prime number
BaseRepresentation
bin110100010110001100…
…1111001000010000001
3101202011100000201012022
41220230121321002001
53320211004300101
6123350425011225
711056504243112
oct1505431710201
9352140021168
10112414134401
1143746937008
1219953323b15
13a7a66c41ba
145625a82209
152dce011a1b
hex1a2c679081

112414134401 has 2 divisors, whose sum is σ = 112414134402. Its totient is φ = 112414134400.

The previous prime is 112414134347. The next prime is 112414134451. The reversal of 112414134401 is 104431414211.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 89688270400 + 22725864001 = 299480^2 + 150751^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-112414134401 is a prime.

It is a super-2 number, since 2×1124141344012 (a number of 23 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (112414134451) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56207067200 + 56207067201.

It is an arithmetic number, because the mean of its divisors is an integer number (56207067201).

Almost surely, 2112414134401 is an apocalyptic number.

It is an amenable number.

112414134401 is a deficient number, since it is larger than the sum of its proper divisors (1).

112414134401 is an equidigital number, since it uses as much as digits as its factorization.

112414134401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1536, while the sum is 26.

Adding to 112414134401 its reverse (104431414211), we get a palindrome (216845548612).

The spelling of 112414134401 in words is "one hundred twelve billion, four hundred fourteen million, one hundred thirty-four thousand, four hundred one".