Search a number
-
+
2022112011001 = 17373214804469
BaseRepresentation
bin11101011011001111010…
…001001010001011111001
321011022102110111101122111
4131123033101022023321
5231112241133323001
64144540114052321
7266043551332315
oct35331721121371
97138373441574
102022112011001
1170a633571a45
12287a9527a0a1
131188b8673b54
146dc2946ab45
15378ee384851
hex1d6cf44a2f9

2022112011001 has 8 divisors (see below), whose sum is σ = 2198926257480. Its totient is φ = 1851727373568.

The previous prime is 2022112010999. The next prime is 2022112011053. The reversal of 2022112011001 is 1001102112202.

It can be written as a sum of positive squares in 4 ways, for example, as 557189095401 + 1464922915600 = 746451^2 + 1210340^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 2022112011001 - 21 = 2022112010999 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2022112011071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1607401606 + ... + 1607402863.

It is an arithmetic number, because the mean of its divisors is an integer number (274865782185).

Almost surely, 22022112011001 is an apocalyptic number.

It is an amenable number.

2022112011001 is a deficient number, since it is larger than the sum of its proper divisors (176814246479).

2022112011001 is a wasteful number, since it uses less digits than its factorization.

2022112011001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3214804523.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 2022112011001 its reverse (1001102112202), we get a palindrome (3023214123203).

It can be divided in two parts, 202211201 and 1001, that added together give a palindrome (202212202).

The spelling of 2022112011001 in words is "two trillion, twenty-two billion, one hundred twelve million, eleven thousand, one".

Divisors: 1 17 37 629 3214804469 54651675973 118947765353 2022112011001