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115084117 is a prime number
BaseRepresentation
bin1101101110000…
…00101101010101
322000112212201201
412313000231111
5213430142432
615230352501
72565125131
oct667005525
9260485651
10115084117
1159a64445
123265b731
131aac5515
14113da3c1
15a183ee7
hex6dc0b55

115084117 has 2 divisors, whose sum is σ = 115084118. Its totient is φ = 115084116.

The previous prime is 115084087. The next prime is 115084129. The reversal of 115084117 is 711480511.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 62869041 + 52215076 = 7929^2 + 7226^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-115084117 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (115084187) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 57542058 + 57542059.

It is an arithmetic number, because the mean of its divisors is an integer number (57542059).

Almost surely, 2115084117 is an apocalyptic number.

It is an amenable number.

115084117 is a deficient number, since it is larger than the sum of its proper divisors (1).

115084117 is an equidigital number, since it uses as much as digits as its factorization.

115084117 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1120, while the sum is 28.

The square root of 115084117 is about 10727.7265531892. The cubic root of 115084117 is about 486.4129512477.

It can be divided in two parts, 11508 and 4117, that added together give a 6-th power (15625 = 56).

The spelling of 115084117 in words is "one hundred fifteen million, eighty-four thousand, one hundred seventeen".