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20102221102221 = 32193710213111863
BaseRepresentation
bin1001001001000011010011…
…01111110111110010001101
32122011202100100111112100200
410210201221233313302031
510113323322100232341
6110430455523044113
74143223531036026
oct444415157676215
978152310445320
1020102221102221
116450338826105
122307b41210639
13b2a829002b3b
144d6d4a28dc4d
1524cd890a9db6
hex124869bf7c8d

20102221102221 has 48 divisors (see below), whose sum is σ = 31421611079040. Its totient is φ = 12340897845120.

The previous prime is 20102221102219. The next prime is 20102221102241. The reversal of 20102221102221 is 12220112220102.

It is a happy number.

20102221102221 is a `hidden beast` number, since 20 + 102 + 221 + 102 + 221 = 666.

It is not a de Polignac number, because 20102221102221 - 21 = 20102221102219 is a prime.

It is a super-2 number, since 2×201022211022212 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20102221102194 and 20102221102203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20102221102211) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4903936 + ... + 8015798.

It is an arithmetic number, because the mean of its divisors is an integer number (654616897480).

Almost surely, 220102221102221 is an apocalyptic number.

It is an amenable number.

20102221102221 is a deficient number, since it is larger than the sum of its proper divisors (11319389976819).

20102221102221 is a wasteful number, since it uses less digits than its factorization.

20102221102221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3112946 (or 3112943 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 20102221102221 its reverse (12220112220102), we get a palindrome (32322333322323).

The spelling of 20102221102221 in words is "twenty trillion, one hundred two billion, two hundred twenty-one million, one hundred two thousand, two hundred twenty-one".

Divisors: 1 3 9 19 37 57 111 171 333 703 1021 2109 3063 6327 9189 19399 37777 58197 113331 174591 339993 717763 2153289 3111863 6459867 9335589 28006767 59125397 115138931 177376191 345416793 532128573 1036250379 2187639689 3177212123 6562919067 9531636369 19688757201 28594909107 60367030337 117556848551 181101091011 352670545653 543303273033 1058011636959 2233580122469 6700740367407 20102221102221