Search a number
-
+
10022122011001 = 43534397596319
BaseRepresentation
bin1001000111010111010100…
…0001011011100101111001
31022111002211220200211221011
42101311311001123211321
52303200301213323001
633152033240313521
72053034345341222
oct221656501334571
938432756624834
1010022122011001
1132143a3665341
12115a4304728a1
1357910b359869
14269105190249
15125a72122d51
hex91d7505b979

10022122011001 has 8 divisors (see below), whose sum is σ = 10448688856320. Its totient is φ = 9604350358512.

The previous prime is 10022122010993. The next prime is 10022122011007. The reversal of 10022122011001 is 10011022122001.

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 10022122011001 - 23 = 10022122010993 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10022122011007) 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, 2198795881 + ... + 2198800438.

It is an arithmetic number, because the mean of its divisors is an integer number (1306086107040).

Almost surely, 210022122011001 is an apocalyptic number.

It is an amenable number.

10022122011001 is a deficient number, since it is larger than the sum of its proper divisors (426566845319).

10022122011001 is an equidigital number, since it uses as much as digits as its factorization.

10022122011001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4397596415.

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

Adding to 10022122011001 its reverse (10011022122001), we get a palindrome (20033144133002).

The spelling of 10022122011001 in words is "ten trillion, twenty-two billion, one hundred twenty-two million, eleven thousand, one".

Divisors: 1 43 53 2279 4397596319 189096641717 233072604907 10022122011001