Search a number
-
+
145413600313 is a prime number
BaseRepresentation
bin1000011101101101010…
…0110111010000111001
3111220100010100021021111
42013123110313100321
54340301340202223
6150445130040321
713335325131412
oct2073324672071
9456303307244
10145413600313
1156740206193
12242228790a1
13109353146a7
1470765d4809
153bb112630d
hex21db537439

145413600313 has 2 divisors, whose sum is σ = 145413600314. Its totient is φ = 145413600312.

The previous prime is 145413600301. The next prime is 145413600323. The reversal of 145413600313 is 313006314541.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 95547137449 + 49866462864 = 309107^2 + 223308^2 .

It is a cyclic number.

It is not a de Polignac number, because 145413600313 - 233 = 136823665721 is a prime.

It is a super-2 number, since 2×1454136003132 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (145413600323) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 72706800156 + 72706800157.

It is an arithmetic number, because the mean of its divisors is an integer number (72706800157).

Almost surely, 2145413600313 is an apocalyptic number.

It is an amenable number.

145413600313 is a deficient number, since it is larger than the sum of its proper divisors (1).

145413600313 is an equidigital number, since it uses as much as digits as its factorization.

145413600313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 12960, while the sum is 31.

Adding to 145413600313 its reverse (313006314541), we get a palindrome (458419914854).

The spelling of 145413600313 in words is "one hundred forty-five billion, four hundred thirteen million, six hundred thousand, three hundred thirteen".