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106247831117 is a prime number
BaseRepresentation
bin110001011110011011…
…1010011111001001101
3101011020121001001022012
41202330313103321031
53220043421043432
6120450511431005
710450630443401
oct1427467237115
9334217031265
10106247831117
114107214909a
1218712225465
13a03303b92c
1451dcb43101
152b6c9c8cb2
hex18bcdd3e4d

106247831117 has 2 divisors, whose sum is σ = 106247831118. Its totient is φ = 106247831116.

The previous prime is 106247831069. The next prime is 106247831143. The reversal of 106247831117 is 711138742601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 106242750601 + 5080516 = 325949^2 + 2254^2 .

It is a cyclic number.

It is not a de Polignac number, because 106247831117 - 216 = 106247765581 is a prime.

It is a super-3 number, since 3×1062478311173 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (106247831167) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53123915558 + 53123915559.

It is an arithmetic number, because the mean of its divisors is an integer number (53123915559).

Almost surely, 2106247831117 is an apocalyptic number.

It is an amenable number.

106247831117 is a deficient number, since it is larger than the sum of its proper divisors (1).

106247831117 is an equidigital number, since it uses as much as digits as its factorization.

106247831117 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 56448, while the sum is 41.

The spelling of 106247831117 in words is "one hundred six billion, two hundred forty-seven million, eight hundred thirty-one thousand, one hundred seventeen".