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114513532337 is a prime number
BaseRepresentation
bin110101010100110001…
…0011101010110110001
3101221120122102011202102
41222221202131112301
53334010431013322
6124335022230145
711162515651601
oct1525142352661
9357518364672
10114513532337
11446239a3826
121a23a425355
13aa4c630cb9
145784812c01
152ea34aa792
hex1aa989d5b1

114513532337 has 2 divisors, whose sum is σ = 114513532338. Its totient is φ = 114513532336.

The previous prime is 114513532327. The next prime is 114513532373. The reversal of 114513532337 is 733235315411.

Together with next prime (114513532373) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 107637142561 + 6876389776 = 328081^2 + 82924^2 .

It is a cyclic number.

It is not a de Polignac number, because 114513532337 - 210 = 114513531313 is a prime.

It is a super-2 number, since 2×1145135323372 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 114513532337.

It is not a weakly prime, because it can be changed into another prime (114513532327) 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, 57256766168 + 57256766169.

It is an arithmetic number, because the mean of its divisors is an integer number (57256766169).

Almost surely, 2114513532337 is an apocalyptic number.

It is an amenable number.

114513532337 is a deficient number, since it is larger than the sum of its proper divisors (1).

114513532337 is an equidigital number, since it uses as much as digits as its factorization.

114513532337 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 113400, while the sum is 38.

Adding to 114513532337 its reverse (733235315411), we get a palindrome (847748847748).

The spelling of 114513532337 in words is "one hundred fourteen billion, five hundred thirteen million, five hundred thirty-two thousand, three hundred thirty-seven".