Search a number
-
+
31023033313031 is a prime number
BaseRepresentation
bin1110000110111000111001…
…11000010110011100000111
311001211202212112100201102222
413003130130320112130013
513031240133012004111
6145551441301322555
76351224454152324
oct703343470263407
9131752775321388
1031023033313031
119980881599a41
12359057b10645b
1314405c865bba6
147937468b3b4b
1538bea87307db
hex1c371ce16707

31023033313031 has 2 divisors, whose sum is σ = 31023033313032. Its totient is φ = 31023033313030.

The previous prime is 31023033313009. The next prime is 31023033313037. The reversal of 31023033313031 is 13031333032013.

It is a happy number.

It is a strong prime.

It is an emirp because it is prime and its reverse (13031333032013) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-31023033313031 is a prime.

It is a super-2 number, since 2×310230333130312 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (31023033313037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15511516656515 + 15511516656516.

It is an arithmetic number, because the mean of its divisors is an integer number (15511516656516).

Almost surely, 231023033313031 is an apocalyptic number.

31023033313031 is a deficient number, since it is larger than the sum of its proper divisors (1).

31023033313031 is an equidigital number, since it uses as much as digits as its factorization.

31023033313031 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4374, while the sum is 26.

Adding to 31023033313031 its reverse (13031333032013), we get a palindrome (44054366345044).

The spelling of 31023033313031 in words is "thirty-one trillion, twenty-three billion, thirty-three million, three hundred thirteen thousand, thirty-one".