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21131330031 = 337839133261
BaseRepresentation
bin10011101011100001…
…101000000111101111
32000112200022210022000
4103223201220013233
5321234110030111
613412501423343
71345440225120
oct235341500757
960480283260
1021131330031
118a640a3019
124118a0ab53
131cb9ba7aa6
14104665c047
1583a23ec56
hex4eb8681ef

21131330031 has 32 divisors (see below), whose sum is σ = 35820825600. Its totient is φ = 12060563040.

The previous prime is 21131330029. The next prime is 21131330039. The reversal of 21131330031 is 13003313112.

It is a happy number.

21131330031 is a `hidden beast` number, since 21 + 1 + 313 + 300 + 31 = 666.

It is not a de Polignac number, because 21131330031 - 21 = 21131330029 is a prime.

It is a super-2 number, since 2×211313300312 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21131329986 and 21131330013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21131330039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 91941 + ... + 225201.

It is an arithmetic number, because the mean of its divisors is an integer number (1119400800).

Almost surely, 221131330031 is an apocalyptic number.

21131330031 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

21131330031 is a deficient number, since it is larger than the sum of its proper divisors (14689495569).

21131330031 is a wasteful number, since it uses less digits than its factorization.

21131330031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134116 (or 134110 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 21131330031 its reverse (13003313112), we get a palindrome (34134643143).

The spelling of 21131330031 in words is "twenty-one billion, one hundred thirty-one million, three hundred thirty thousand, thirty-one".

Divisors: 1 3 7 9 21 27 63 189 839 2517 5873 7551 17619 22653 52857 133261 158571 399783 932827 1199349 2798481 3598047 8395443 25186329 111805979 335417937 782641853 1006253811 2347925559 3018761433 7043776677 21131330031