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31113311121 = 3247103970793
BaseRepresentation
bin11100111110011111…
…110111001110010001
32222022100011222010100
4130332133313032101
51002210001423441
622143202123013
72151005531604
oct347637671621
988270158110
1031113311121
1112216720172
126043950469
132c1ac26789
14171225033b
15c2173dcb6
hex73e7f7391

31113311121 has 24 divisors (see below), whose sum is σ = 45942474240. Its totient is φ = 20281058496.

The previous prime is 31113311083. The next prime is 31113311123. The reversal of 31113311121 is 12111331113.

31113311121 is a `hidden beast` number, since 311 + 1 + 331 + 1 + 1 + 21 = 666.

It is not a de Polignac number, because 31113311121 - 26 = 31113311057 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 31113311094 and 31113311103.

It is not an unprimeable number, because it can be changed into a prime (31113311123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 404101 + ... + 474893.

It is an arithmetic number, because the mean of its divisors is an integer number (1914269760).

Almost surely, 231113311121 is an apocalyptic number.

It is an amenable number.

31113311121 is a deficient number, since it is larger than the sum of its proper divisors (14829163119).

31113311121 is a wasteful number, since it uses less digits than its factorization.

31113311121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71885 (or 71882 counting only the distinct ones).

The product of its digits is 54, while the sum is 18.

Adding to 31113311121 its reverse (12111331113), we get a palindrome (43224642234).

It can be divided in two parts, 3111331112 and 1, that added together give a palindrome (3111331113).

The spelling of 31113311121 in words is "thirty-one billion, one hundred thirteen million, three hundred eleven thousand, one hundred twenty-one".

Divisors: 1 3 9 47 141 423 1039 3117 9351 48833 70793 146499 212379 439497 637137 3327271 9981813 29945439 73553927 220661781 661985343 3457034569 10371103707 31113311121