Search a number
-
+
31301231000129 is a prime number
BaseRepresentation
bin1110001110111111000101…
…10000010011101001000001
311002211100221121101111102122
413013133202300103221001
513100314410114001004
6150323330443254025
76410303453401346
oct707374260235101
9132740847344378
1031301231000129
119a78860972922
12361647ab1a315
13146090259311c
147a2db82147cd
1539433bd0ecbe
hex1c77e2c13a41

31301231000129 has 2 divisors, whose sum is σ = 31301231000130. Its totient is φ = 31301231000128.

The previous prime is 31301231000111. The next prime is 31301231000131. The reversal of 31301231000129 is 92100013210313.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 29255550145600 + 2045680854529 = 5408840^2 + 1430273^2 .

It is a cyclic number.

It is not a de Polignac number, because 31301231000129 - 220 = 31301229951553 is a prime.

Together with 31301231000131, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 31301231000098 and 31301231000107.

It is not a weakly prime, because it can be changed into another prime (31301231008129) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15650615500064 + 15650615500065.

It is an arithmetic number, because the mean of its divisors is an integer number (15650615500065).

Almost surely, 231301231000129 is an apocalyptic number.

It is an amenable number.

31301231000129 is a deficient number, since it is larger than the sum of its proper divisors (1).

31301231000129 is an equidigital number, since it uses as much as digits as its factorization.

31301231000129 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 972, while the sum is 26.

The spelling of 31301231000129 in words is "thirty-one trillion, three hundred one billion, two hundred thirty-one million, one hundred twenty-nine", and thus it is an aban number.