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114277337 is a prime number
BaseRepresentation
bin1101100111110…
…11101111011001
321222000220000222
412303323233121
5213223333322
615201205425
72555225036
oct663735731
9258026028
10114277337
1159563289
1232330875
131a8a2235
141126a38d
15a074e42
hex6cfbbd9

114277337 has 2 divisors, whose sum is σ = 114277338. Its totient is φ = 114277336.

The previous prime is 114277327. The next prime is 114277357. The reversal of 114277337 is 733772411.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 84290761 + 29986576 = 9181^2 + 5476^2 .

It is a cyclic number.

It is not a de Polignac number, because 114277337 - 214 = 114260953 is a prime.

It is a super-3 number, since 3×1142773373 (a number of 25 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 114277297 and 114277306.

It is not a weakly prime, because it can be changed into another prime (114277307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 57138668 + 57138669.

It is an arithmetic number, because the mean of its divisors is an integer number (57138669).

Almost surely, 2114277337 is an apocalyptic number.

It is an amenable number.

114277337 is a deficient number, since it is larger than the sum of its proper divisors (1).

114277337 is an equidigital number, since it uses as much as digits as its factorization.

114277337 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 24696, while the sum is 35.

The square root of 114277337 is about 10690.0578576545. The cubic root of 114277337 is about 485.2736430062.

The spelling of 114277337 in words is "one hundred fourteen million, two hundred seventy-seven thousand, three hundred thirty-seven".