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11002112010021 = 31117532291615853
BaseRepresentation
bin1010000000011010000011…
…1110100110011100100101
31102221210101002202220101210
42200012200332212130211
52420224311133310041
635222144523142033
72213606410031046
oct240064076463445
942853332686353
1011002112010021
113561a73450340
121298349074919
1361a657b58622
142a070dc6a8cd
151412cbce5016
hexa01a0fa6725

11002112010021 has 64 divisors (see below), whose sum is σ = 17339535371520. Its totient is φ = 6130413219840.

The previous prime is 11002112009971. The next prime is 11002112010037. The reversal of 11002112010021 is 12001021120011.

It is not a de Polignac number, because 11002112010021 - 210 = 11002112008997 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11002112009979 and 11002112010006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11002112010221) 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 63 ways as a sum of consecutive naturals, for example, 6000931 + ... + 7616783.

It is an arithmetic number, because the mean of its divisors is an integer number (270930240180).

Almost surely, 211002112010021 is an apocalyptic number.

11002112010021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11002112010021 is a deficient number, since it is larger than the sum of its proper divisors (6337423361499).

11002112010021 is a wasteful number, since it uses less digits than its factorization.

11002112010021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1616166.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 11002112010021 its reverse (12001021120011), we get a palindrome (23003133130032).

The spelling of 11002112010021 in words is "eleven trillion, two billion, one hundred twelve million, ten thousand, twenty-one".

Divisors: 1 3 11 17 33 51 53 159 187 229 561 583 687 901 1749 2519 2703 3893 7557 9911 11679 12137 29733 36411 42823 128469 133507 206329 400521 618987 1615853 2269619 4847559 6808857 17774383 27469501 53323149 82408503 85640209 256920627 302164511 370030337 906493533 942042299 1110091011 1455883553 2826126897 4070333707 4367650659 6290515729 12211001121 16014719083 18871547187 19611607861 48044157249 58834823583 69195673019 207587019057 215727686471 333397333637 647183059413 1000192000911 3667370670007 11002112010021