Search a number
-
+
2231142653329 is a prime number
BaseRepresentation
bin100000011101111010011…
…101110001110110010001
321220021222011112020112021
4200131322131301312101
5243023340004401304
64424550042131441
7320123536432522
oct40357235616621
97807864466467
102231142653329
11790249953407
123004b11b0b81
1313251b8b1765
1479db8a5c849
153d085539a54
hex2077a771d91

2231142653329 has 2 divisors, whose sum is σ = 2231142653330. Its totient is φ = 2231142653328.

The previous prime is 2231142653239. The next prime is 2231142653387. The reversal of 2231142653329 is 9233562411322.

It is a happy number.

Together with previous prime (2231142653239) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2220502318225 + 10640335104 = 1490135^2 + 103152^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2231142653329 is a prime.

It is a super-3 number, since 3×22311426533293 (a number of 38 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (2231142653029) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1115571326664 + 1115571326665.

It is an arithmetic number, because the mean of its divisors is an integer number (1115571326665).

Almost surely, 22231142653329 is an apocalyptic number.

It is an amenable number.

2231142653329 is a deficient number, since it is larger than the sum of its proper divisors (1).

2231142653329 is an equidigital number, since it uses as much as digits as its factorization.

2231142653329 is an evil number, because the sum of its binary digits is even.

The product of its digits is 466560, while the sum is 43.

The spelling of 2231142653329 in words is "two trillion, two hundred thirty-one billion, one hundred forty-two million, six hundred fifty-three thousand, three hundred twenty-nine".