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21255233255212 = 221131101990115583
BaseRepresentation
bin1001101010100110111101…
…01000001011011100101100
32210020222110202021200211011
410311103132220023130230
510241221204203131322
6113112304103035004
74322432331446335
oct465233650133454
983228422250734
1021255233255212
116855326060290
1224734a673ba64
13bb248a8c8b78
14536a8a13528c
1526cd6da95677
hex1354dea0b72c

21255233255212 has 96 divisors (see below), whose sum is σ = 42308857479168. Its totient is φ = 9255708000000.

The previous prime is 21255233255143. The next prime is 21255233255279.

21255233255212 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×212552332552122 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1363993573 + ... + 1364009155.

It is an arithmetic number, because the mean of its divisors is an integer number (440717265408).

Almost surely, 221255233255212 is an apocalyptic number.

21255233255212 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

21255233255212 is a deficient number, since it is larger than the sum of its proper divisors (21053624223956).

21255233255212 is a wasteful number, since it uses less digits than its factorization.

21255233255212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25631 (or 25629 counting only the distinct ones).

The product of its digits is 360000, while the sum is 40.

The spelling of 21255233255212 in words is "twenty-one trillion, two hundred fifty-five billion, two hundred thirty-three million, two hundred fifty-five thousand, two hundred twelve".

Divisors: 1 2 4 11 22 31 44 62 101 124 202 341 404 682 1111 1364 2222 3131 4444 6262 9901 12524 15583 19802 31166 34441 39604 62332 68882 108911 137764 171413 217822 306931 342826 435644 483073 613862 685652 966146 1000001 1227724 1573883 1932292 2000002 3147766 3376241 4000004 5313803 6295532 6752482 10627606 11000011 13504964 17312713 21255212 22000022 31000031 34625426 44000044 48790373 62000062 69250852 97580746 124000124 154287283 195161492 308574566 341000341 536694103 617149132 682000682 1073388206 1364001364 1697160113 2146776412 3394320226 4782905773 6788640452 9565811546 15583015583 19131623092 31166031166 52611963503 62332062332 105223927006 171413171413 210447854012 342826342826 483073483073 685652685652 966146966146 1932293932292 5313808313803 10627616627606 21255233255212