Search a number
-
+
12220100002001 = 412897102882713
BaseRepresentation
bin1011000111010011011010…
…1110000100000011010001
31121021020012210001200111102
42301310312232010003101
53100203231100031001
641553500400554145
72400605320114313
oct261646656040321
947236183050442
1012220100002001
113991573968001
121454406922955
136a847302b068
143036553777b3
15162d15cb5e6b
hexb1d36b840d1

12220100002001 has 8 divisors (see below), whose sum is σ = 12522472417224. Its totient is φ = 11917933358080.

The previous prime is 12220100001983. The next prime is 12220100002007. The reversal of 12220100002001 is 10020000102221.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 42931425601 + 12177168576400 = 207199^2 + 3489580^2 .

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 12220100002001 - 222 = 12220095807697 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12220100002007) 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, 51322580 + ... + 51560133.

It is an arithmetic number, because the mean of its divisors is an integer number (1565309052153).

Almost surely, 212220100002001 is an apocalyptic number.

It is an amenable number.

12220100002001 is a deficient number, since it is larger than the sum of its proper divisors (302372415223).

12220100002001 is a wasteful number, since it uses less digits than its factorization.

12220100002001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102885651.

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 12220100002001 its reverse (10020000102221), we get a palindrome (22240100104222).

The spelling of 12220100002001 in words is "twelve trillion, two hundred twenty billion, one hundred million, two thousand, one".

Divisors: 1 41 2897 118777 102882713 4218191233 298051219561 12220100002001