Search a number
-
+
10009301121 = 325032211023
BaseRepresentation
bin10010101001001100…
…11101000010000001
3221211120021011212100
421110212131002001
5130444340113441
64333114021013
7503016440631
oct112446350201
927746234770
1010009301121
114276a98096
121b34117769
13c368c5bb1
146ad4a46c1
153d8ae8cb6
hex25499d081

10009301121 has 12 divisors (see below), whose sum is σ = 14486629248. Its totient is φ = 6659598264.

The previous prime is 10009301117. The next prime is 10009301201. The reversal of 10009301121 is 12110390001.

It is not a de Polignac number, because 10009301121 - 22 = 10009301117 is a prime.

It is a super-2 number, since 2×100093011212 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10009301094 and 10009301103.

It is not an unprimeable number, because it can be changed into a prime (10009301321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1100985 + ... + 1110038.

It is an arithmetic number, because the mean of its divisors is an integer number (1207219104).

Almost surely, 210009301121 is an apocalyptic number.

It is an amenable number.

10009301121 is a deficient number, since it is larger than the sum of its proper divisors (4477328127).

10009301121 is a wasteful number, since it uses less digits than its factorization.

10009301121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2211532 (or 2211529 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 10009301121 its reverse (12110390001), we get a palindrome (22119691122).

The spelling of 10009301121 in words is "ten billion, nine million, three hundred one thousand, one hundred twenty-one".

Divisors: 1 3 9 503 1509 4527 2211023 6633069 19899207 1112144569 3336433707 10009301121