Search a number
-
+
2221122111021 = 321197231294607
BaseRepresentation
bin100000010100100101001…
…100011100011000101101
321212100002211002221122200
4200110211030130120231
5242342324230023041
64420211443132113
7316320322302462
oct40244514343055
97770084087580
102221122111021
11786a77588690
122ba575374039
131315b2881098
1479707cad669
153cb9a9701b6
hex2052531c62d

2221122111021 has 24 divisors (see below), whose sum is σ = 3536031967104. Its totient is φ = 1332256930560.

The previous prime is 2221122111017. The next prime is 2221122111029. The reversal of 2221122111021 is 1201112211222.

It is not a de Polignac number, because 2221122111021 - 22 = 2221122111017 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2221122110985 and 2221122111003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2221122111029) 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 23 ways as a sum of consecutive naturals, for example, 115637701 + ... + 115656906.

It is an arithmetic number, because the mean of its divisors is an integer number (147334665296).

Almost surely, 22221122111021 is an apocalyptic number.

It is an amenable number.

2221122111021 is a deficient number, since it is larger than the sum of its proper divisors (1314909856083).

2221122111021 is a wasteful number, since it uses less digits than its factorization.

2221122111021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231294721 (or 231294718 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 2221122111021 its reverse (1201112211222), we get a palindrome (3422234322243).

The spelling of 2221122111021 in words is "two trillion, two hundred twenty-one billion, one hundred twenty-two million, one hundred eleven thousand, twenty-one".

Divisors: 1 3 9 11 33 97 99 291 873 1067 3201 9603 231294607 693883821 2081651463 2544240677 7632722031 22435576879 22898166093 67306730637 201920191911 246791345669 740374037007 2221122111021