Search a number
-
+
1293651137 is a prime number
BaseRepresentation
bin100110100011011…
…1000110011000001
310100011020021202002
41031012320303001
510122133314022
6332211233345
744025565442
oct11506706301
93304207662
101293651137
11604261279
123012a8855
1317802425c
14c3b4b2c9
1578889092
hex4d1b8cc1

1293651137 has 2 divisors, whose sum is σ = 1293651138. Its totient is φ = 1293651136.

The previous prime is 1293651101. The next prime is 1293651181. The reversal of 1293651137 is 7311563921.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1269924496 + 23726641 = 35636^2 + 4871^2 .

It is an emirp because it is prime and its reverse (7311563921) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1293651137 - 214 = 1293634753 is a prime.

It is a super-2 number, since 2×12936511372 = 3347066528522785538, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1293651137.

It is not a weakly prime, because it can be changed into another prime (1293651637) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 646825568 + 646825569.

It is an arithmetic number, because the mean of its divisors is an integer number (646825569).

Almost surely, 21293651137 is an apocalyptic number.

It is an amenable number.

1293651137 is a deficient number, since it is larger than the sum of its proper divisors (1).

1293651137 is an equidigital number, since it uses as much as digits as its factorization.

1293651137 is an evil number, because the sum of its binary digits is even.

The product of its digits is 34020, while the sum is 38.

The square root of 1293651137 is about 35967.3621078889. The cubic root of 1293651137 is about 1089.6132895788.

The spelling of 1293651137 in words is "one billion, two hundred ninety-three million, six hundred fifty-one thousand, one hundred thirty-seven".