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22001021221221 = 347675711014259
BaseRepresentation
bin1010000000010100000110…
…00011011111100101100101
32212220021110222220202210000
411000022003003133211211
510340431042413034341
6114443043555251513
74430343546534210
oct500120303374545
985807428822700
1022001021221221
117012642a064a9
122573b415a9b99
13c378c22a5503
14560bd85c0777
1528246c8378b6
hex1402830df965

22001021221221 has 80 divisors (see below), whose sum is σ = 38188235937280. Its totient is φ = 12362669051040.

The previous prime is 22001021221169. The next prime is 22001021221229. The reversal of 22001021221221 is 12212212010022.

It is a happy number.

22001021221221 is a `hidden beast` number, since 2 + 200 + 1 + 0 + 21 + 221 + 221 = 666.

It is not a de Polignac number, because 22001021221221 - 210 = 22001021220197 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 22001021221194 and 22001021221203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22001021221229) 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 79 ways as a sum of consecutive naturals, for example, 21184590 + ... + 22198848.

It is an arithmetic number, because the mean of its divisors is an integer number (477352949216).

Almost surely, 222001021221221 is an apocalyptic number.

22001021221221 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

22001021221221 is a deficient number, since it is larger than the sum of its proper divisors (16187214716059).

22001021221221 is a wasteful number, since it uses less digits than its factorization.

22001021221221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1014916 (or 1014907 counting only the distinct ones).

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

Adding to 22001021221221 its reverse (12212212010022), we get a palindrome (34213233231243).

The spelling of 22001021221221 in words is "twenty-two trillion, one billion, twenty-one million, two hundred twenty-one thousand, two hundred twenty-one".

Divisors: 1 3 7 9 21 27 63 67 81 189 201 469 567 571 603 1407 1713 1809 3997 4221 5139 5427 11991 12663 15417 35973 37989 38257 46251 107919 114771 267799 323757 344313 803397 1014259 1032939 2410191 3042777 3098817 7099813 7230573 9128331 21299439 21691719 27384993 63898317 67955353 82154979 191694951 203866059 475687471 575084853 579141889 611598177 1427062413 1737425667 1834794531 4053993223 4281187239 5212277001 5504383593 12161979669 12843561717 15636831003 36485939007 38530685151 38802506563 46910493009 109457817021 116407519689 271617545941 328373451063 349222559067 814852637823 1047667677201 2444557913469 3143003031603 7333673740407 22001021221221