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111936401 is a prime number
BaseRepresentation
bin1101010110000…
…00001110010001
321210121221212122
412223000032101
5212123431101
615035104025
72526305123
oct653001621
9253557778
10111936401
1158204525
12315a2015
131a262875
1410c1b213
159c6151b
hex6ac0391

111936401 has 2 divisors, whose sum is σ = 111936402. Its totient is φ = 111936400.

The previous prime is 111936389. The next prime is 111936413. The reversal of 111936401 is 104639111.

It is a Cunningham number, because it is equal to 105802+1.

It is a balanced prime because it is at equal distance from previous prime (111936389) and next prime (111936413).

It can be written as a sum of positive squares in only one way, i.e., 111936400 + 1 = 10580^2 + 1^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-111936401 is a prime.

It is equal to p6407612 and since 111936401 and 6407612 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (111936421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55968200 + 55968201.

It is an arithmetic number, because the mean of its divisors is an integer number (55968201).

Almost surely, 2111936401 is an apocalyptic number.

It is an amenable number.

111936401 is a deficient number, since it is larger than the sum of its proper divisors (1).

111936401 is an equidigital number, since it uses as much as digits as its factorization.

111936401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 648, while the sum is 26.

The square root of 111936401 is about 10580.0000472590. Note that the first 4 decimals coincide. The cubic root of 111936401 is about 481.9371958941.

The spelling of 111936401 in words is "one hundred eleven million, nine hundred thirty-six thousand, four hundred one".