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11001001000010 = 257286783258703
BaseRepresentation
bin1010000000010101111011…
…0000011011110001001010
31102221200111200012202011212
42200011132300123301022
52420220022224000020
635221442354253122
72213540026430600
oct240053660336112
942850450182155
1011001001000010
1135615532a604a
121298098b871a2
1361a50b921458
142a06464a3870
151412644d6cc5
hexa015ec1bc4a

11001001000010 has 48 divisors (see below), whose sum is σ = 23035103502336. Its totient is φ = 3771713729952.

The previous prime is 11001001000007. The next prime is 11001001000091. The reversal of 11001001000010 is 1000010010011.

It is a Harshad number since it is a multiple of its sum of digits (5).

It is a junction number, because it is equal to n+sod(n) for n = 11001000999958 and 11001001000003.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 42394319 + ... + 42653021.

It is an arithmetic number, because the mean of its divisors is an integer number (479897989632).

Almost surely, 211001001000010 is an apocalyptic number.

11001001000010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11001001000010 is an abundant number, since it is smaller than the sum of its proper divisors (12034102502326).

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

11001001000010 is a wasteful number, since it uses less digits than its factorization.

11001001000010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345507 (or 345500 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 5.

Adding to 11001001000010 its reverse (1000010010011), we get a palindrome (12001011010021).

The spelling of 11001001000010 in words is "eleven trillion, one billion, one million, ten", and thus it is an aban number and an uban number.

Divisors: 1 2 5 7 10 14 35 49 70 98 245 490 86783 173566 258703 433915 517406 607481 867830 1214962 1293515 1810921 2587030 3037405 3621842 4252367 6074810 8504734 9054605 12676447 18109210 21261835 25352894 42523670 63382235 126764470 22451022449 44902044898 112255112245 157157157143 224510224490 314314314286 785785785715 1100100100001 1571571571430 2200200200002 5500500500005 11001001000010