Search a number
-
+
21112202202221 = 1319533316027471
BaseRepresentation
bin1001100110011100100010…
…10100000000110001101101
32202202022021200010101001002
410303032101110000301231
510231400242230432341
6112522451203130045
74306210023532004
oct463162124006155
982668250111032
1021112202202221
1167aa6a8827179
12244b829973925
13ba1b4509c2c0
1452db9c139c3b
1526929bbe929b
hex133391500c6d

21112202202221 has 16 divisors (see below), whose sum is σ = 23937349981440. Its totient is φ = 18459029528640.

The previous prime is 21112202202151. The next prime is 21112202202233. The reversal of 21112202202221 is 12220220221112.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-21112202202221 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 21112202202193 and 21112202202202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21112202205221) 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 15 ways as a sum of consecutive naturals, for example, 6696485 + ... + 9330986.

It is an arithmetic number, because the mean of its divisors is an integer number (1496084373840).

Almost surely, 221112202202221 is an apocalyptic number.

It is an amenable number.

21112202202221 is a deficient number, since it is larger than the sum of its proper divisors (2825147779219).

21112202202221 is a wasteful number, since it uses less digits than its factorization.

21112202202221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16032836.

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 21112202202221 its reverse (12220220221112), we get a palindrome (33332422423333).

The spelling of 21112202202221 in words is "twenty-one trillion, one hundred twelve billion, two hundred two million, two hundred two thousand, two hundred twenty-one".

Divisors: 1 13 19 247 5333 69329 101327 1317251 16027471 208357123 304521949 3958785337 85474502843 1111168536959 1624015554017 21112202202221