Search a number
-
+
2221020110221 = 1121011103164767
BaseRepresentation
bin100000010100011111000…
…111010101110110001101
321212022211201011202212021
4200110133013111312031
5242342122122011341
64420153401010141
7316314643305163
oct40243707256615
97768751152767
102221020110221
11786a24a4aa00
122ba547183951
131315976b9993
14796d851b233
153cb91a229d1
hex2051f1d5d8d

2221020110221 has 24 divisors (see below), whose sum is σ = 2467707927552. Its totient is φ = 1997293452000.

The previous prime is 2221020110213. The next prime is 2221020110233. The reversal of 2221020110221 is 1220110201222.

It is a happy number.

2221020110221 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2221020110221 - 23 = 2221020110213 is a prime.

It is a super-2 number, since 2×22210201102212 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2221020110195 and 2221020110204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2221020110921) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13397380 + ... + 13562146.

It is an arithmetic number, because the mean of its divisors is an integer number (102821163648).

Almost surely, 22221020110221 is an apocalyptic number.

It is an amenable number.

2221020110221 is a deficient number, since it is larger than the sum of its proper divisors (246687817331).

2221020110221 is a wasteful number, since it uses less digits than its factorization.

2221020110221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165993 (or 165982 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 2221020110221 its reverse (1220110201222), we get a palindrome (3441130311443).

The spelling of 2221020110221 in words is "two trillion, two hundred twenty-one billion, twenty million, one hundred ten thousand, two hundred twenty-one".

Divisors: 1 11 101 121 1103 1111 12133 12221 111403 133463 164767 1225433 1812437 13479763 16641467 19936807 181738001 183056137 1999118011 2013617507 18355538101 21990298121 201910919111 2221020110221