Search a number
-
+
10243034201 = 731376471583
BaseRepresentation
bin10011000101000100…
…00100110001011001
3222102212002001101002
421202202010301121
5131434204043301
64412223434345
7511555232321
oct114242046131
928385061332
1010243034201
114386a20224
121b9a4559b5
13c731613aa
146d2548281
153ee3b816b
hex262884c59

10243034201 has 16 divisors (see below), whose sum is σ = 10481923584. Its totient is φ = 10007149824.

The previous prime is 10243034183. The next prime is 10243034209.

10243034201 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 10243034201 - 214 = 10243017817 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10243034209) 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 15 ways as a sum of consecutive naturals, for example, 6469856 + ... + 6471438.

It is an arithmetic number, because the mean of its divisors is an integer number (655120224).

Almost surely, 210243034201 is an apocalyptic number.

It is an amenable number.

10243034201 is a deficient number, since it is larger than the sum of its proper divisors (238889383).

10243034201 is a wasteful number, since it uses less digits than its factorization.

10243034201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2440.

The product of its (nonzero) digits is 576, while the sum is 20.

It can be divided in two parts, 102430 and 34201, that added together give a palindrome (136631).

The spelling of 10243034201 in words is "ten billion, two hundred forty-three million, thirty-four thousand, two hundred one".

Divisors: 1 73 137 647 1583 10001 47231 88639 115559 216871 1024201 6470647 15831583 74766673 140315537 10243034201