Search a number
-
+
1000009101 = 372133714143
BaseRepresentation
bin111011100110101…
…110110110001101
32120200200201121010
4323212232312031
54022000242401
6243121355433
733531636300
oct7346566615
92520621533
101000009101
1147352a703
1223aa98b79
1312c241380
1496b50b37
155cbd3ed6
hex3b9aed8d

1000009101 has 48 divisors (see below), whose sum is σ = 1715610624. Its totient is φ = 513184896.

The previous prime is 1000009099. The next prime is 1000009123. The reversal of 1000009101 is 1019000001.

It is not a de Polignac number, because 1000009101 - 21 = 1000009099 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000009301) 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 47 ways as a sum of consecutive naturals, for example, 63636 + ... + 77778.

It is an arithmetic number, because the mean of its divisors is an integer number (35741888).

Almost surely, 21000009101 is an apocalyptic number.

It is an amenable number.

1000009101 is a deficient number, since it is larger than the sum of its proper divisors (715601523).

1000009101 is a wasteful number, since it uses less digits than its factorization.

1000009101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14210 (or 14203 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 12.

The square root of 1000009101 is about 31622.9205008013. The cubic root of 1000009101 is about 1000.0030336575.

Adding to 1000009101 its reverse (1019000001), we get a palindrome (2019009102).

The spelling of 1000009101 in words is "one billion, nine thousand, one hundred one".

Divisors: 1 3 7 13 21 37 39 49 91 111 147 259 273 481 637 777 1443 1813 1911 3367 5439 10101 14143 23569 42429 70707 99001 183859 297003 523291 551577 693007 1287013 1569873 2079021 3663037 3861039 6802783 9009091 10989111 20408349 25641259 27027273 47619481 76923777 142858443 333336367 1000009101