Search a number
-
+
151531301021 is a prime number
BaseRepresentation
bin1000110100011111111…
…0000010100010011101
3112111010110212122222012
42031013332002202131
54440314003113041
6153340145401005
713643041543502
oct2150776024235
9474113778865
10151531301021
115929a518291
122544b639165
131139b8b0939
147496cc14a9
153e1d25d3eb
hex2347f8289d

151531301021 has 2 divisors, whose sum is σ = 151531301022. Its totient is φ = 151531301020.

The previous prime is 151531300967. The next prime is 151531301039. The reversal of 151531301021 is 120103135151.

151531301021 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 131341732921 + 20189568100 = 362411^2 + 142090^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-151531301021 is a prime.

It is a super-3 number, since 3×1515313010213 (a number of 35 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (151531301821) 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, 75765650510 + 75765650511.

It is an arithmetic number, because the mean of its divisors is an integer number (75765650511).

Almost surely, 2151531301021 is an apocalyptic number.

It is an amenable number.

151531301021 is a deficient number, since it is larger than the sum of its proper divisors (1).

151531301021 is an equidigital number, since it uses as much as digits as its factorization.

151531301021 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 450, while the sum is 23.

Adding to 151531301021 its reverse (120103135151), we get a palindrome (271634436172).

The spelling of 151531301021 in words is "one hundred fifty-one billion, five hundred thirty-one million, three hundred one thousand, twenty-one".