Search a number
-
+
2211301001201 = 41734421167117
BaseRepresentation
bin100000001011011011110…
…011111000011111110001
321211101202100221212201112
4200023123303320133301
5242212221024014301
64411505130443105
7315522046244315
oct40133363703761
97741670855645
102211301001201
117828978484a6
122b8694293495
131306a8c695b6
14790557d5b45
153c7c364b9bb
hex202dbcf87f1

2211301001201 has 16 divisors (see below), whose sum is σ = 2296798933968. Its totient is φ = 2127319833600.

The previous prime is 2211301001153. The next prime is 2211301001207. The reversal of 2211301001201 is 1021001031122.

It can be written as a sum of positive squares in 8 ways, for example, as 6741231025 + 2204559770176 = 82105^2 + 1484776^2 .

It is not a de Polignac number, because 2211301001201 - 238 = 1936423094257 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2211301001207) 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 15 ways as a sum of consecutive naturals, for example, 13148495 + ... + 13315611.

It is an arithmetic number, because the mean of its divisors is an integer number (143549933373).

Almost surely, 22211301001201 is an apocalyptic number.

It is an amenable number.

2211301001201 is a deficient number, since it is larger than the sum of its proper divisors (85497932767).

2211301001201 is a wasteful number, since it uses less digits than its factorization.

2211301001201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171652.

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 2211301001201 its reverse (1021001031122), we get a palindrome (3232302032323).

The spelling of 2211301001201 in words is "two trillion, two hundred eleven billion, three hundred one million, one thousand, two hundred one".

Divisors: 1 41 73 2993 4421 167117 181261 322733 6851797 12199541 13232053 500181181 738824257 30291794537 53934170761 2211301001201