Search a number
-
+
31303102122233 is a prime number
BaseRepresentation
bin1110001111000010100100…
…10010000100100011111001
311002211112210000020100102022
413013201102102010203321
513100332223120402413
6150324240244044225
76410401023565004
oct707412222044371
9132745700210368
1031303102122233
119a79631094627
123616901693675
131460b40125676
147a311492253b
153943eb216608
hex1c78524848f9

31303102122233 has 2 divisors, whose sum is σ = 31303102122234. Its totient is φ = 31303102122232.

The previous prime is 31303102122191. The next prime is 31303102122241. The reversal of 31303102122233 is 33222120130313.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 31297893180304 + 5208941929 = 5594452^2 + 72173^2 .

It is a cyclic number.

It is not a de Polignac number, because 31303102122233 - 26 = 31303102122169 is a prime.

It is not a weakly prime, because it can be changed into another prime (31303102122263) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15651551061116 + 15651551061117.

It is an arithmetic number, because the mean of its divisors is an integer number (15651551061117).

Almost surely, 231303102122233 is an apocalyptic number.

It is an amenable number.

31303102122233 is a deficient number, since it is larger than the sum of its proper divisors (1).

31303102122233 is an equidigital number, since it uses as much as digits as its factorization.

31303102122233 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3888, while the sum is 26.

Adding to 31303102122233 its reverse (33222120130313), we get a palindrome (64525222252546).

The spelling of 31303102122233 in words is "thirty-one trillion, three hundred three billion, one hundred two million, one hundred twenty-two thousand, two hundred thirty-three".