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21222022122 = 23272361120049
BaseRepresentation
bin10011110000111011…
…100101101111101010
32000202222222102110100
4103300323211233222
5321430314201442
613425501330230
71350621132420
oct236073455752
960688872410
1021222022122
119000307364
124143266976
13200290ca52
141054709110
158431a684c
hex4f0ee5bea

21222022122 has 96 divisors (see below), whose sum is σ = 55733932800. Its totient is φ = 5704680960.

The previous prime is 21222022093. The next prime is 21222022123. The reversal of 21222022122 is 22122022212.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 21222022095 and 21222022104.

It is not an unprimeable number, because it can be changed into a prime (21222022123) 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, 116754 + ... + 236802.

It is an arithmetic number, because the mean of its divisors is an integer number (580561800).

Almost surely, 221222022122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21222022122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27866966400).

21222022122 is an abundant number, since it is smaller than the sum of its proper divisors (34511910678).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

21222022122 is a wasteful number, since it uses less digits than its factorization.

21222022122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120148 (or 120145 counting only the distinct ones).

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

Adding to 21222022122 its reverse (22122022212), we get a palindrome (43344044334).

The spelling of 21222022122 in words is "twenty-one billion, two hundred twenty-two million, twenty-two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 23 42 46 61 63 69 122 126 138 161 183 207 322 366 414 427 483 549 854 966 1098 1281 1403 1449 2562 2806 2898 3843 4209 7686 8418 9821 12627 19642 25254 29463 58926 88389 120049 176778 240098 360147 720294 840343 1080441 1680686 2160882 2521029 2761127 5042058 5522254 7322989 7563087 8283381 14645978 15126174 16566762 19327889 21968967 24850143 38655778 43937934 49700286 51260923 57983667 65906901 102521846 115967334 131813802 153782769 168428747 173951001 307565538 336857494 347902002 461348307 505286241 922696614 1010572482 1179001229 1515858723 2358002458 3031717446 3537003687 7074007374 10611011061 21222022122