Search a number
-
+
31311121212133 = 7219227148157309
BaseRepresentation
bin1110001111010001100000…
…10000011110001011100101
311002212022110212120022201221
413013220300100132023211
513101000134012242013
6150332044105020341
76411103525663600
oct707506020361345
9132768425508657
1031311121212133
119a81a76710554
12361837b1846b1
13146181a5c0889
147a3675959337
1539471a23308d
hex1c7a3041e2e5

31311121212133 has 24 divisors (see below), whose sum is σ = 38509048015200. Its totient is φ = 25313565015648.

The previous prime is 31311121212109. The next prime is 31311121212191. The reversal of 31311121212133 is 33121212111313.

It is not a de Polignac number, because 31311121212133 - 25 = 31311121212101 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 31311121212098 and 31311121212107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31311121212193) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73867318 + ... + 74289991.

It is an arithmetic number, because the mean of its divisors is an integer number (1604543667300).

Almost surely, 231311121212133 is an apocalyptic number.

It is an amenable number.

31311121212133 is a deficient number, since it is larger than the sum of its proper divisors (7197926803067).

31311121212133 is a wasteful number, since it uses less digits than its factorization.

31311121212133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148157569 (or 148157562 counting only the distinct ones).

The product of its digits is 648, while the sum is 25.

Adding to 31311121212133 its reverse (33121212111313), we get a palindrome (64432333323446).

The spelling of 31311121212133 in words is "thirty-one trillion, three hundred eleven billion, one hundred twenty-one million, two hundred twelve thousand, one hundred thirty-three".

Divisors: 1 7 19 49 133 227 931 1589 4313 11123 30191 211337 148157309 1037101163 2814988871 7259708141 19704922097 33631709143 137934454679 235421964001 639002473717 1647953748007 4473017316019 31311121212133