Search a number
-
+
10242311324201 = 111277331647333
BaseRepresentation
bin1001010100001011100101…
…0101000000001000101001
31100021011012021201220120022
42111002321111000020221
52320302223144333301
633441130341410225
72104661010536525
oct225027125001051
940234167656508
1010242311324201
1132998157a9350
121195041409975
13593acc3385b8
14275a32756d85
1512b65cc5ad1b
hex950b9540229

10242311324201 has 8 divisors (see below), whose sum is σ = 11261410305024. Its totient is φ = 9237875638320.

The previous prime is 10242311324177. The next prime is 10242311324237.

It is a happy number.

10242311324201 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10242311324201 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10242311326201) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3665822270 + ... + 3665825063.

It is an arithmetic number, because the mean of its divisors is an integer number (1407676288128).

Almost surely, 210242311324201 is an apocalyptic number.

10242311324201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10242311324201 is a deficient number, since it is larger than the sum of its proper divisors (1019098980823).

10242311324201 is a wasteful number, since it uses less digits than its factorization.

10242311324201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7331647471.

The product of its (nonzero) digits is 2304, while the sum is 26.

It can be divided in two parts, 1024231 and 1324201, that added together give a palindrome (2348432).

The spelling of 10242311324201 in words is "ten trillion, two hundred forty-two billion, three hundred eleven million, three hundred twenty-four thousand, two hundred one".

Divisors: 1 11 127 1397 7331647333 80648120663 931119211291 10242311324201