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114206319 = 3275716763
BaseRepresentation
bin1101100111010…
…10011001101111
321221220021121200
412303222121233
5213214100234
615155500543
72554511013
oct663523157
9257807550
10114206319
1159514997
12322b7753
131a878b06
141124c543
15a05dd99
hex6cea66f

114206319 has 12 divisors (see below), whose sum is σ = 165192456. Its totient is φ = 76032432.

The previous prime is 114206317. The next prime is 114206333. The reversal of 114206319 is 913602411.

114206319 is a `hidden beast` number, since 1 + 1 + 4 + 20 + 631 + 9 = 666.

It is not a de Polignac number, because 114206319 - 21 = 114206317 is a prime.

It is a super-2 number, since 2×1142063192 = 26086166599059522, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 114206292 and 114206301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114206317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1569 + ... + 15194.

It is an arithmetic number, because the mean of its divisors is an integer number (13766038).

Almost surely, 2114206319 is an apocalyptic number.

114206319 is a deficient number, since it is larger than the sum of its proper divisors (50986137).

114206319 is a wasteful number, since it uses less digits than its factorization.

114206319 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17526 (or 17523 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 114206319 is about 10686.7356568786. The cubic root of 114206319 is about 485.1730972461.

The spelling of 114206319 in words is "one hundred fourteen million, two hundred six thousand, three hundred nineteen".

Divisors: 1 3 9 757 2271 6813 16763 50289 150867 12689591 38068773 114206319