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20120221102221 = 322235580122469
BaseRepresentation
bin1001001001100100110101…
…01000011011000010001101
32122020110210210200021101100
410210302122220123002031
510114122203100232341
6110443034005333313
74144431556361112
oct444623250330215
978213723607340
1020120221102221
116457a35308569
12230b525407239
13b2c437233406
144d7b76aba909
1524d58e4633b6
hex124c9aa1b08d

20120221102221 has 6 divisors (see below), whose sum is σ = 29062541592110. Its totient is φ = 13413480734808.

The previous prime is 20120221102199. The next prime is 20120221102237. The reversal of 20120221102221 is 12220112202102.

It is a happy number.

20120221102221 is a `hidden beast` number, since 2 + 0 + 120 + 221 + 102 + 221 = 666.

It can be written as a sum of positive squares in only one way, i.e., 18992695679721 + 1127525422500 = 4358061^2 + 1061850^2 .

It is not a de Polignac number, because 20120221102221 - 211 = 20120221100173 is a prime.

It is a super-2 number, since 2×201202211022212 (a number of 27 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 = 20120221102194 and 20120221102203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20120221101221) 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 5 ways as a sum of consecutive naturals, for example, 1117790061226 + ... + 1117790061243.

Almost surely, 220120221102221 is an apocalyptic number.

It is an amenable number.

20120221102221 is a deficient number, since it is larger than the sum of its proper divisors (8942320489889).

20120221102221 is a wasteful number, since it uses less digits than its factorization.

20120221102221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2235580122475 (or 2235580122472 counting only the distinct ones).

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

Adding to 20120221102221 its reverse (12220112202102), we get a palindrome (32340333304323).

The spelling of 20120221102221 in words is "twenty trillion, one hundred twenty billion, two hundred twenty-one million, one hundred two thousand, two hundred twenty-one".

Divisors: 1 3 9 2235580122469 6706740367407 20120221102221