Search a number
-
+
2222011100001 = 371110195238571
BaseRepresentation
bin100000010101011010001…
…011101010101101100001
321212102101202220021021110
4200111122023222231201
5242401134320200001
64420440001213533
7316351335501210
oct40253213525541
97772352807243
102222011100001
1178739337a220
122ba7830312a9
131316c4ac0974
147978dda1077
153cbeda243d6
hex2055a2eab61

2222011100001 has 32 divisors (see below), whose sum is σ = 3730304388096. Its totient is φ = 1142862840000.

The previous prime is 2222011099991. The next prime is 2222011100047. The reversal of 2222011100001 is 1000011102222.

It is not a de Polignac number, because 2222011100001 - 25 = 2222011099969 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 2222011100001.

It is not an unprimeable number, because it can be changed into a prime (2222011100081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47595955 + ... + 47642616.

It is an arithmetic number, because the mean of its divisors is an integer number (116572012128).

Almost surely, 22222011100001 is an apocalyptic number.

2222011100001 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2222011100001 is a deficient number, since it is larger than the sum of its proper divisors (1508293288095).

2222011100001 is a wasteful number, since it uses less digits than its factorization.

2222011100001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95238693.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 2222011100001 its reverse (1000011102222), we get a palindrome (3222022202223).

The spelling of 2222011100001 in words is "two trillion, two hundred twenty-two billion, eleven million, one hundred thousand, one".

Divisors: 1 3 7 11 21 33 77 101 231 303 707 1111 2121 3333 7777 23331 95238571 285715713 666669997 1047624281 2000009991 3142872843 7333369967 9619095671 22000109901 28857287013 67333669697 105810052381 202001009091 317430157143 740670366667 2222011100001