Search a number
-
+
1131312414329 is a prime number
BaseRepresentation
bin10000011101100111011…
…110010111111001111001
311000011010002220020002222
4100131213132113321321
5122013411434224304
62223415011133425
7144506655600146
oct20354736277171
94004102806088
101131312414329
113a6872401369
1216330a2a4275
13828b4033aa6
143ca81d453cd
151e66491d4be
hex10767797e79

1131312414329 has 2 divisors, whose sum is σ = 1131312414330. Its totient is φ = 1131312414328.

The previous prime is 1131312414311. The next prime is 1131312414391. The reversal of 1131312414329 is 9234142131311.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 821116884025 + 310195530304 = 906155^2 + 556952^2 .

It is an emirp because it is prime and its reverse (9234142131311) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1131312414329 is a prime.

It is not a weakly prime, because it can be changed into another prime (1131312414829) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 565656207164 + 565656207165.

It is an arithmetic number, because the mean of its divisors is an integer number (565656207165).

Almost surely, 21131312414329 is an apocalyptic number.

It is an amenable number.

1131312414329 is a deficient number, since it is larger than the sum of its proper divisors (1).

1131312414329 is an equidigital number, since it uses as much as digits as its factorization.

1131312414329 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 15552, while the sum is 35.

The spelling of 1131312414329 in words is "one trillion, one hundred thirty-one billion, three hundred twelve million, four hundred fourteen thousand, three hundred twenty-nine".