Search a number
-
+
45531242501 is a prime number
BaseRepresentation
bin101010011001110111…
…111010000000000101
311100112011001202202212
4222121313322000011
51221221444230001
632530004313205
73201210114143
oct523167720005
9140464052685
1045531242501
1118345221438
1289a83a2805
1343a7cb4914
1422bd038593
1512b73c87bb
hexa99dfa005

45531242501 has 2 divisors, whose sum is σ = 45531242502. Its totient is φ = 45531242500.

The previous prime is 45531242483. The next prime is 45531242503. The reversal of 45531242501 is 10524213554.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 44363311876 + 1167930625 = 210626^2 + 34175^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-45531242501 is a prime.

It is a super-3 number, since 3×455312425013 (a number of 33 digits) contains 333 as substring.

Together with 45531242503, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (45531242503) 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 as a sum of consecutive naturals, namely, 22765621250 + 22765621251.

It is an arithmetic number, because the mean of its divisors is an integer number (22765621251).

Almost surely, 245531242501 is an apocalyptic number.

It is an amenable number.

45531242501 is a deficient number, since it is larger than the sum of its proper divisors (1).

45531242501 is an equidigital number, since it uses as much as digits as its factorization.

45531242501 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24000, while the sum is 32.

The spelling of 45531242501 in words is "forty-five billion, five hundred thirty-one million, two hundred forty-two thousand, five hundred one".