Search a number
-
+
2210122120001 = 23418926333863
BaseRepresentation
bin100000001010010101100…
…010110011101101000001
321211021201012200111201212
4200022111202303231001
5242202312230320001
64411152135135505
7315450613025015
oct40122542635501
97737635614655
102210122120001
11782342356614
122b8405514595
1313054b95a863
1478d83002545
153c754dd37bb
hex202958b3b41

2210122120001 has 16 divisors (see below), whose sum is σ = 2389008142080. Its totient is φ = 2039294273280.

The previous prime is 2210122119937. The next prime is 2210122120009. The reversal of 2210122120001 is 1000212210122.

It is a cyclic number.

It is not a de Polignac number, because 2210122120001 - 26 = 2210122119937 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2210122120009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13083005 + ... + 13250858.

It is an arithmetic number, because the mean of its divisors is an integer number (149313008880).

Almost surely, 22210122120001 is an apocalyptic number.

It is an amenable number.

2210122120001 is a deficient number, since it is larger than the sum of its proper divisors (178886022079).

2210122120001 is a wasteful number, since it uses less digits than its factorization.

2210122120001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26334016.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 2210122120001 its reverse (1000212210122), we get a palindrome (3210334330123).

The spelling of 2210122120001 in words is "two trillion, two hundred ten billion, one hundred twenty-two million, one hundred twenty thousand, one".

Divisors: 1 23 41 89 943 2047 3649 83927 26333863 605678849 1079688383 2343713807 24832832809 53905417561 96092266087 2210122120001