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11002011012 = 22324128326339
BaseRepresentation
bin10100011111100010…
…10101110110000100
31001101202020001211100
422033301111312010
5140013003323022
65015415140100
7536432356566
oct121761256604
931352201740
1011002011012
114736391793
122170674630
13106447cab5
14765275336
15445d3a1ac
hex28fc55d84

11002011012 has 72 divisors (see below), whose sum is σ = 28590700320. Its totient is φ = 3565111680.

The previous prime is 11002011001. The next prime is 11002011037. The reversal of 11002011012 is 21011020011.

It is a happy number.

11002011012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 11002010985 and 11002011003.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 404539 + ... + 430877.

It is an arithmetic number, because the mean of its divisors is an integer number (397093060).

Almost surely, 211002011012 is an apocalyptic number.

11002011012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11002011012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14295350160).

11002011012 is an abundant number, since it is smaller than the sum of its proper divisors (17588689308).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11002011012 is a wasteful number, since it uses less digits than its factorization.

11002011012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26673 (or 26668 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 11002011012 its reverse (21011020011), we get a palindrome (32013031023).

The spelling of 11002011012 in words is "eleven billion, two million, eleven thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 41 82 123 164 246 283 369 492 566 738 849 1132 1476 1698 2547 3396 5094 10188 11603 23206 26339 34809 46412 52678 69618 79017 104427 105356 139236 158034 208854 237051 316068 417708 474102 948204 1079899 2159798 3239697 4319596 6479394 7453937 9719091 12958788 14907874 19438182 22361811 29815748 38876364 44723622 67085433 89447244 134170866 268341732 305611417 611222834 916834251 1222445668 1833668502 2750502753 3667337004 5501005506 11002011012