Search a number
-
+
10001121201 = 323730033397
BaseRepresentation
bin10010101000001110…
…01111111110110001
3221210222212121010100
421110013033332301
5130440241334301
64332222423013
7502560061521
oct112407177661
927728777110
1010001121201
114272410425
121b31431a69
13c34cc08c6
146ac375681
153d8030286
hex2541cffb1

10001121201 has 12 divisors (see below), whose sum is σ = 14836498612. Its totient is φ = 6487213536.

The previous prime is 10001121197. The next prime is 10001121223. The reversal of 10001121201 is 10212110001.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 6404000625 + 3597120576 = 80025^2 + 59976^2 .

It is not a de Polignac number, because 10001121201 - 22 = 10001121197 is a prime.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10001121001) 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 11 ways as a sum of consecutive naturals, for example, 15016366 + ... + 15017031.

Almost surely, 210001121201 is an apocalyptic number.

It is an amenable number.

10001121201 is a deficient number, since it is larger than the sum of its proper divisors (4835377411).

10001121201 is a wasteful number, since it uses less digits than its factorization.

10001121201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30033440 (or 30033437 counting only the distinct ones).

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

Adding to 10001121201 its reverse (10212110001), we get a palindrome (20213231202).

The spelling of 10001121201 in words is "ten billion, one million, one hundred twenty-one thousand, two hundred one".

Divisors: 1 3 9 37 111 333 30033397 90100191 270300573 1111235689 3333707067 10001121201