Search a number
-
+
31331313212211 = 3210931938137831
BaseRepresentation
bin1110001111110111000111…
…10010110101101100110011
311002221020121002101012120200
413013323203302311230303
513101313012140242321
6150345223453410243
76412420102105515
oct707734362655463
9132836532335520
1031331313212211
119a8a598559021
123620275499983
1314636b79b140c
147a462d53dbb5
15394eecc77d26
hex1c7ee3cb5b33

31331313212211 has 12 divisors (see below), whose sum is σ = 45671537099760. Its totient is φ = 20695913313840.

The previous prime is 31331313212141. The next prime is 31331313212219. The reversal of 31331313212211 is 11221231313313.

31331313212211 is a `hidden beast` number, since 3 + 1 + 3 + 313 + 1 + 321 + 2 + 21 + 1 = 666.

It is not a de Polignac number, because 31331313212211 - 213 = 31331313204019 is a prime.

It is a super-2 number, since 2×313313132122112 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (31331313212219) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15969067935 + ... + 15969069896.

It is an arithmetic number, because the mean of its divisors is an integer number (3805961424980).

Almost surely, 231331313212211 is an apocalyptic number.

31331313212211 is a deficient number, since it is larger than the sum of its proper divisors (14340223887549).

31331313212211 is a wasteful number, since it uses less digits than its factorization.

31331313212211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31938137946 (or 31938137943 counting only the distinct ones).

The product of its digits is 1944, while the sum is 27.

Adding to 31331313212211 its reverse (11221231313313), we get a palindrome (42552544525524).

The spelling of 31331313212211 in words is "thirty-one trillion, three hundred thirty-one billion, three hundred thirteen million, two hundred twelve thousand, two hundred eleven".

Divisors: 1 3 9 109 327 981 31938137831 95814413493 287443240479 3481257023579 10443771070737 31331313212211