Search a number
-
+
361036247137 is a prime number
BaseRepresentation
bin1010100000011110110…
…11111111000001100001
31021111220020101122022221
411100033123333001201
521403400234402022
6433505135431041
735040546315616
oct5201733770141
91244806348287
10361036247137
1112a129605155
1259b7a385481
1328079177587
141368d49a50d
1595d0da2cc7
hex540f6ff061

361036247137 has 2 divisors, whose sum is σ = 361036247138. Its totient is φ = 361036247136.

The previous prime is 361036247129. The next prime is 361036247141. The reversal of 361036247137 is 731742630163.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 298251423376 + 62784823761 = 546124^2 + 250569^2 .

It is a cyclic number.

It is not a de Polignac number, because 361036247137 - 23 = 361036247129 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 361036247093 and 361036247102.

It is not a weakly prime, because it can be changed into another prime (361036247107) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 180518123568 + 180518123569.

It is an arithmetic number, because the mean of its divisors is an integer number (180518123569).

Almost surely, 2361036247137 is an apocalyptic number.

It is an amenable number.

361036247137 is a deficient number, since it is larger than the sum of its proper divisors (1).

361036247137 is an equidigital number, since it uses as much as digits as its factorization.

361036247137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 381024, while the sum is 43.

The spelling of 361036247137 in words is "three hundred sixty-one billion, thirty-six million, two hundred forty-seven thousand, one hundred thirty-seven".