Search a number
-
+
1000210011009 = 311235967333367
BaseRepresentation
bin11101000111000010010…
…10011001001110000001
310112121201100121002102120
432203201022121032001
5112341412230323014
62043253511434453
7132156064550016
oct16434112311601
93477640532376
101000210011009
11356206526310
12141a20385a29
137341c949701
14365a62b370d
151b03edebba9
hexe8e1299381

1000210011009 has 64 divisors (see below), whose sum is σ = 1566882938880. Its totient is φ = 561495021120.

The previous prime is 1000210010999. The next prime is 1000210011013. The reversal of 1000210011009 is 9001100120001.

It is not a de Polignac number, because 1000210011009 - 24 = 1000210010993 is a prime.

It is a super-2 number, since 2×10002100110092 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1000210011509) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 2833644 + ... + 3167010.

It is an arithmetic number, because the mean of its divisors is an integer number (24482545920).

Almost surely, 21000210011009 is an apocalyptic number.

It is an amenable number.

1000210011009 is a deficient number, since it is larger than the sum of its proper divisors (566672927871).

1000210011009 is a wasteful number, since it uses less digits than its factorization.

1000210011009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333530.

The product of its (nonzero) digits is 18, while the sum is 15.

The spelling of 1000210011009 in words is "one trillion, two hundred ten million, eleven thousand, nine".

Divisors: 1 3 11 23 33 59 67 69 177 201 253 649 737 759 1357 1541 1947 2211 3953 4071 4623 11859 14927 16951 43483 44781 50853 90919 130449 272757 333367 1000101 1000109 3000327 3667037 7667441 11001111 19668653 22335589 23002323 59005959 67006767 84341851 216355183 245691479 253025553 452379019 513718547 649065549 737074437 1317799751 1357137057 1541155641 3953399253 4976169209 5650904017 14495797261 14928507627 16952712051 30309394273 43487391783 90928182819 333403337003 1000210011009