Search a number
-
+
31705363505311 is a prime number
BaseRepresentation
bin1110011010101111110101…
…11011011110000010011111
311011021000002021222212210221
413031113322323132002133
513123430041024132221
6151233124245342211
76451431315122416
oct715277273360237
9134230067885727
1031705363505311
11a114195161561
123680866107967
13148ca591079b2
147b879518047d
1539eae1404541
hex1cd5faede09f

31705363505311 has 2 divisors, whose sum is σ = 31705363505312. Its totient is φ = 31705363505310.

The previous prime is 31705363505273. The next prime is 31705363505401. The reversal of 31705363505311 is 11350536350713.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 31705363505311 - 215 = 31705363472543 is a prime.

It is a super-2 number, since 2×317053635053112 (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 (31705363515311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15852681752655 + 15852681752656.

It is an arithmetic number, because the mean of its divisors is an integer number (15852681752656).

Almost surely, 231705363505311 is an apocalyptic number.

31705363505311 is a deficient number, since it is larger than the sum of its proper divisors (1).

31705363505311 is an equidigital number, since it uses as much as digits as its factorization.

31705363505311 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 425250, while the sum is 43.

The spelling of 31705363505311 in words is "thirty-one trillion, seven hundred five billion, three hundred sixty-three million, five hundred five thousand, three hundred eleven".