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114968929 is a prime number
BaseRepresentation
bin1101101101001…
…00100101100001
322000100000201111
412312210211201
5213413001204
615224103321
72564135245
oct666444541
9260300644
10114968929
1159995949
1232604b41
131aa84c6a
14113aa425
15a15ed04
hex6da4961

114968929 has 2 divisors, whose sum is σ = 114968930. Its totient is φ = 114968928.

The previous prime is 114968897. The next prime is 114968933. The reversal of 114968929 is 929869411.

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., 110355025 + 4613904 = 10505^2 + 2148^2 .

It is a cyclic number.

It is not a de Polignac number, because 114968929 - 25 = 114968897 is a prime.

It is a super-3 number, since 3×1149689293 (a number of 25 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (114968629) 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, 57484464 + 57484465.

It is an arithmetic number, because the mean of its divisors is an integer number (57484465).

Almost surely, 2114968929 is an apocalyptic number.

It is an amenable number.

114968929 is a deficient number, since it is larger than the sum of its proper divisors (1).

114968929 is an equidigital number, since it uses as much as digits as its factorization.

114968929 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 279936, while the sum is 49.

The square root of 114968929 is about 10722.3565040526. The cubic root of 114968929 is about 486.2506130668.

The spelling of 114968929 in words is "one hundred fourteen million, nine hundred sixty-eight thousand, nine hundred twenty-nine".