Search a number
-
+
31330231132237 is a prime number
BaseRepresentation
bin1110001111110101000110…
…10011000010000001001101
311002221010210200020211220121
413013322203103002001031
513101303303132212422
6150344524240544541
76412351222426432
oct707724323020115
9132833720224817
1031330231132237
119a8a092773354
123620013022151
1314635747661cb
147a4569947b89
15394e87c818c7
hex1c7ea34c204d

31330231132237 has 2 divisors, whose sum is σ = 31330231132238. Its totient is φ = 31330231132236.

The previous prime is 31330231132163. The next prime is 31330231132259. The reversal of 31330231132237 is 73223113203313.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 20919838540041 + 10410392592196 = 4573821^2 + 3226514^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-31330231132237 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (31330231132267) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15665115566118 + 15665115566119.

It is an arithmetic number, because the mean of its divisors is an integer number (15665115566119).

Almost surely, 231330231132237 is an apocalyptic number.

It is an amenable number.

31330231132237 is a deficient number, since it is larger than the sum of its proper divisors (1).

31330231132237 is an equidigital number, since it uses as much as digits as its factorization.

31330231132237 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 40824, while the sum is 34.

The spelling of 31330231132237 in words is "thirty-one trillion, three hundred thirty billion, two hundred thirty-one million, one hundred thirty-two thousand, two hundred thirty-seven".