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114823993 is a prime number
BaseRepresentation
bin1101101100000…
…01001100111001
322000001122220111
412312001030321
5213343331433
615221024321
72562662554
oct666011471
9260048814
10114823993
11598a6a69
12325550a1
131aa33cbb
141136d69b
15a131dcd
hex6d81339

114823993 has 2 divisors, whose sum is σ = 114823994. Its totient is φ = 114823992.

The previous prime is 114823957. The next prime is 114824029. The reversal of 114823993 is 399328411.

It is a balanced prime because it is at equal distance from previous prime (114823957) and next prime (114824029).

It can be written as a sum of positive squares in only one way, i.e., 88115769 + 26708224 = 9387^2 + 5168^2 .

It is a cyclic number.

It is not a de Polignac number, because 114823993 - 213 = 114815801 is a prime.

It is not a weakly prime, because it can be changed into another prime (114863993) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 57411996 + 57411997.

It is an arithmetic number, because the mean of its divisors is an integer number (57411997).

Almost surely, 2114823993 is an apocalyptic number.

It is an amenable number.

114823993 is a deficient number, since it is larger than the sum of its proper divisors (1).

114823993 is an equidigital number, since it uses as much as digits as its factorization.

114823993 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 46656, while the sum is 40.

The square root of 114823993 is about 10715.5957837164. The cubic root of 114823993 is about 486.0461959396.

The spelling of 114823993 in words is "one hundred fourteen million, eight hundred twenty-three thousand, nine hundred ninety-three".