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12290031 = 32131737167
BaseRepresentation
bin101110111000…
…011111101111
3212010101202100
4232320133233
511121240111
61115230143
7206314665
oct56703757
925111670
1012290031
116a34756
124148353
132714010
1418bcc35
15112b756
hexbb87ef

12290031 has 48 divisors (see below), whose sum is σ = 20913984. Its totient is φ = 6884352.

The previous prime is 12290009. The next prime is 12290071. The reversal of 12290031 is 13009221.

It is a happy number.

It is not a de Polignac number, because 12290031 - 25 = 12289999 is a prime.

It is a super-2 number, since 2×122900312 = 302089723961922, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12289986 and 12290013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12290071) 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 47 ways as a sum of consecutive naturals, for example, 73510 + ... + 73676.

It is an arithmetic number, because the mean of its divisors is an integer number (435708).

Almost surely, 212290031 is an apocalyptic number.

12290031 is a deficient number, since it is larger than the sum of its proper divisors (8623953).

12290031 is a wasteful number, since it uses less digits than its factorization.

12290031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 12290031 is about 3505.7140499476. The cubic root of 12290031 is about 230.7726441290.

Adding to 12290031 its reverse (13009221), we get a palindrome (25299252).

The spelling of 12290031 in words is "twelve million, two hundred ninety thousand, thirty-one".

Divisors: 1 3 9 13 17 37 39 51 111 117 153 167 221 333 481 501 629 663 1443 1503 1887 1989 2171 2839 4329 5661 6179 6513 8177 8517 18537 19539 24531 25551 36907 55611 73593 80327 105043 110721 240981 315129 332163 722943 945387 1365559 4096677 12290031