Search a number
-
+
151515151515137 is a prime number
BaseRepresentation
bin100010011100110101011110…
…110010001011111000000001
3201212110201002102100122112102
4202130311132302023320001
5124324411012241441022
61254125033311240145
743625415462141434
oct4234653662137001
9655421072318472
10151515151515137
1144306240047193
1214bb0799819055
136670a8200ac97
14295b53006b81b
15127b3cba6ba92
hex89cd5ec8be01

151515151515137 has 2 divisors, whose sum is σ = 151515151515138. Its totient is φ = 151515151515136.

The previous prime is 151515151515113. The next prime is 151515151515151. The reversal of 151515151515137 is 731515151515151.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 149314322891776 + 2200828623361 = 12219424^2 + 1483519^2 .

It is a cyclic number.

It is not a de Polignac number, because 151515151515137 - 246 = 81146407337473 is a prime.

It is a super-2 number, since 2×1515151515151372 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 151515151515091 and 151515151515100.

It is not a weakly prime, because it can be changed into another prime (151515151515337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 75757575757568 + 75757575757569.

It is an arithmetic number, because the mean of its divisors is an integer number (75757575757569).

Almost surely, 2151515151515137 is an apocalyptic number.

It is an amenable number.

151515151515137 is a deficient number, since it is larger than the sum of its proper divisors (1).

151515151515137 is an equidigital number, since it uses as much as digits as its factorization.

151515151515137 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 328125, while the sum is 47.

The spelling of 151515151515137 in words is "one hundred fifty-one trillion, five hundred fifteen billion, one hundred fifty-one million, five hundred fifteen thousand, one hundred thirty-seven".