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220022012211221 = 11731372999666889
BaseRepresentation
bin110010000001101111011101…
…111000010111000000010101
31001212000220021022221202100102
4302001233131320113000111
5212314320040111224341
62055540414513423445
764226031400134353
oct6201573570270025
91055026238852312
10220022012211221
11641188a1a27490
12208158a686ab85
13959cca9aaba6c
143c4919d4c07d3
151a68426666c9b
hexc81bdde17015

220022012211221 has 32 divisors (see below), whose sum is σ = 245170104480000. Its totient is φ = 195774415534080.

The previous prime is 220022012211181. The next prime is 220022012211229. The reversal of 220022012211221 is 122112210220022.

It is a cyclic number.

It is not a de Polignac number, because 220022012211221 - 234 = 220004832342037 is a prime.

It is a Duffinian number.

220022012211221 is a modest number, since divided by 12211221 gives 220022 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 220022012211193 and 220022012211202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220022012211229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 329589545 + ... + 330256433.

It is an arithmetic number, because the mean of its divisors is an integer number (7661565765000).

Almost surely, 2220022012211221 is an apocalyptic number.

It is an amenable number.

220022012211221 is a deficient number, since it is larger than the sum of its proper divisors (25148092268779).

220022012211221 is a wasteful number, since it uses less digits than its factorization.

220022012211221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 670109.

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

Adding to 220022012211221 its reverse (122112210220022), we get a palindrome (342134222431243).

It can be divided in two parts, 2200220 and 12211221, that added together give a palindrome (14411441).

The spelling of 220022012211221 in words is "two hundred twenty trillion, twenty-two billion, twelve million, two hundred eleven thousand, two hundred twenty-one".

Divisors: 1 11 73 137 803 1507 2999 10001 32989 110011 218927 410863 666889 2408197 4519493 7335779 29992999 48682897 91363793 329922989 535511867 1005001723 2000000111 6669556889 22000001221 73365125779 146000008103 274000015207 1606000089133 3014000167277 20002001110111 220022012211221