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12133222031 = 717791290631
BaseRepresentation
bin10110100110011001…
…00100011010001111
31011022120210112121202
423103030210122033
5144322101101111
65323545020115
7606446454110
oct132314443217
934276715552
1012133222031
115166984327
12242748463b
1311b493aa28
148315ba207
154b02d8b3b
hex2d332468f

12133222031 has 16 divisors (see below), whose sum is σ = 14868080640. Its totient is φ = 9664237440.

The previous prime is 12133221983. The next prime is 12133222051. The reversal of 12133222031 is 13022233121.

12133222031 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 12133222031 - 214 = 12133205647 is a prime.

It is a super-2 number, since 2×121332220312 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12133221994 and 12133222012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12133222051) 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 15 ways as a sum of consecutive naturals, for example, 635915 + ... + 654716.

It is an arithmetic number, because the mean of its divisors is an integer number (929255040).

Almost surely, 212133222031 is an apocalyptic number.

12133222031 is a deficient number, since it is larger than the sum of its proper divisors (2734858609).

12133222031 is a wasteful number, since it uses less digits than its factorization.

12133222031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1290734.

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 12133222031 its reverse (13022233121), we get a palindrome (25155455152).

The spelling of 12133222031 in words is "twelve billion, one hundred thirty-three million, two hundred twenty-two thousand, thirty-one".

Divisors: 1 7 17 79 119 553 1343 9401 1290631 9034417 21940727 101959849 153585089 713718943 1733317433 12133222031