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114301357 is a prime number
BaseRepresentation
bin1101101000000…
…01100110101101
321222002002222121
412310001212231
5213230120412
615201512541
72555355052
oct664014655
9258062877
10114301357
115957a335
1232342751
131a8b0151
1411275029
15a07c107
hex6d019ad

114301357 has 2 divisors, whose sum is σ = 114301358. Its totient is φ = 114301356.

The previous prime is 114301333. The next prime is 114301361. The reversal of 114301357 is 753103411.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 84989961 + 29311396 = 9219^2 + 5414^2 .

It is a cyclic number.

It is not a de Polignac number, because 114301357 - 215 = 114268589 is a prime.

It is equal to p6535114 and since 114301357 and 6535114 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (114301307) 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, 57150678 + 57150679.

It is an arithmetic number, because the mean of its divisors is an integer number (57150679).

Almost surely, 2114301357 is an apocalyptic number.

It is an amenable number.

114301357 is a deficient number, since it is larger than the sum of its proper divisors (1).

114301357 is an equidigital number, since it uses as much as digits as its factorization.

114301357 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1260, while the sum is 25.

The square root of 114301357 is about 10691.1812724320. The cubic root of 114301357 is about 485.3076405792.

Adding to 114301357 its reverse (753103411), we get a palindrome (867404768).

The spelling of 114301357 in words is "one hundred fourteen million, three hundred one thousand, three hundred fifty-seven".