Search a number
-
+
2002022122221 = 321120222445679
BaseRepresentation
bin11101001000100001110…
…100010100001011101101
321002101120100211022011200
4131020201310110023231
5230300120130402341
64131414414040113
7264432655155102
oct35104164241355
97071510738150
102002022122221
11702064328180
122840091a9039
13116a36485ab4
146cc81266aa9
15371257aedb6
hex1d221d142ed

2002022122221 has 12 divisors (see below), whose sum is σ = 3154701526080. Its totient is φ = 1213346740680.

The previous prime is 2002022122181. The next prime is 2002022122229. The reversal of 2002022122221 is 1222212202002.

2002022122221 is a `hidden beast` number, since 200 + 2 + 0 + 221 + 22 + 221 = 666.

It is a de Polignac number, because none of the positive numbers 2k-2002022122221 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2002022122194 and 2002022122203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2002022122229) 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 11 ways as a sum of consecutive naturals, for example, 10111222741 + ... + 10111222938.

It is an arithmetic number, because the mean of its divisors is an integer number (262891793840).

Almost surely, 22002022122221 is an apocalyptic number.

It is an amenable number.

2002022122221 is a deficient number, since it is larger than the sum of its proper divisors (1152679403859).

2002022122221 is a wasteful number, since it uses less digits than its factorization.

2002022122221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20222445696 (or 20222445693 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 2002022122221 its reverse (1222212202002), we get a palindrome (3224234324223).

The spelling of 2002022122221 in words is "two trillion, two billion, twenty-two million, one hundred twenty-two thousand, two hundred twenty-one".

Divisors: 1 3 9 11 33 99 20222445679 60667337037 182002011111 222446902469 667340707407 2002022122221