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31311221331 = 313261757833
BaseRepresentation
bin11101001010010010…
…110101001001010011
32222211010120211220010
4131022102311021103
51003111133040311
622214552050003
72155630663365
oct351222651123
988733524803
1031311221331
1112308406025
12609a093903
132c4cc2b800
14173064ad35
15c33cd3da6
hex74a4b5253

31311221331 has 12 divisors (see below), whose sum is σ = 45206734488. Its totient is φ = 19268443584.

The previous prime is 31311221329. The next prime is 31311221351. The reversal of 31311221331 is 13312211313.

It is a happy number.

It is not a de Polignac number, because 31311221331 - 21 = 31311221329 is a prime.

It is a super-2 number, since 2×313112213312 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 31311221298 and 31311221307.

It is not an unprimeable number, because it can be changed into a prime (31311221351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30878410 + ... + 30879423.

It is an arithmetic number, because the mean of its divisors is an integer number (3767227874).

Almost surely, 231311221331 is an apocalyptic number.

31311221331 is a deficient number, since it is larger than the sum of its proper divisors (13895513157).

31311221331 is a wasteful number, since it uses less digits than its factorization.

31311221331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61757862 (or 61757849 counting only the distinct ones).

The product of its digits is 324, while the sum is 21.

Adding to 31311221331 its reverse (13312211313), we get a palindrome (44623432644).

The spelling of 31311221331 in words is "thirty-one billion, three hundred eleven million, two hundred twenty-one thousand, three hundred thirty-one".

Divisors: 1 3 13 39 169 507 61757833 185273499 802851829 2408555487 10437073777 31311221331