Search a number
-
+
2231120299589 is a prime number
BaseRepresentation
bin100000011101111001001…
…000100000011001000101
321220021220121110112221222
4200131321020200121011
5243023313244041324
64424543523050125
7320123145431336
oct40357110403105
97807817415858
102231120299589
11790238275745
123004a5810945
13132517085bac
1479db5ac028d
153d0835c155e
hex20779220645

2231120299589 has 2 divisors, whose sum is σ = 2231120299590. Its totient is φ = 2231120299588.

The previous prime is 2231120299567. The next prime is 2231120299601. The reversal of 2231120299589 is 9859920211322.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2225153973025 + 5966326564 = 1491695^2 + 77242^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2231120299589 is a prime.

It is a super-3 number, since 3×22311202995893 (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 2231120299589.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2231120299559) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1115560149794 + 1115560149795.

It is an arithmetic number, because the mean of its divisors is an integer number (1115560149795).

Almost surely, 22231120299589 is an apocalyptic number.

It is an amenable number.

2231120299589 is a deficient number, since it is larger than the sum of its proper divisors (1).

2231120299589 is an equidigital number, since it uses as much as digits as its factorization.

2231120299589 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1399680, while the sum is 53.

The spelling of 2231120299589 in words is "two trillion, two hundred thirty-one billion, one hundred twenty million, two hundred ninety-nine thousand, five hundred eighty-nine".