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112624426241 is a prime number
BaseRepresentation
bin110100011100011110…
…0000101110100000001
3101202200222201122100222
41220320330011310001
53321123323114431
6123423340152425
711064636553625
oct1507074056401
9352628648328
10112624426241
1143844609418
12199b1838715
13a80b142b42
145645983185
152de270057b
hex1a38f05d01

112624426241 has 2 divisors, whose sum is σ = 112624426242. Its totient is φ = 112624426240.

The previous prime is 112624426153. The next prime is 112624426273. The reversal of 112624426241 is 142624426211.

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., 105969129841 + 6655296400 = 325529^2 + 81580^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-112624426241 is a prime.

It is a super-2 number, since 2×1126244262412 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (112624426141) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56312213120 + 56312213121.

It is an arithmetic number, because the mean of its divisors is an integer number (56312213121).

Almost surely, 2112624426241 is an apocalyptic number.

It is an amenable number.

112624426241 is a deficient number, since it is larger than the sum of its proper divisors (1).

112624426241 is an equidigital number, since it uses as much as digits as its factorization.

112624426241 is an evil number, because the sum of its binary digits is even.

The product of its digits is 36864, while the sum is 35.

The spelling of 112624426241 in words is "one hundred twelve billion, six hundred twenty-four million, four hundred twenty-six thousand, two hundred forty-one".