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21020222121201 = 32101197165770841
BaseRepresentation
bin1001100011110001001101…
…10111110110010011110001
32202102111212102101010101200
410301320212313312103301
510223343403330334301
6112412320130521413
74266442461664332
oct461704667662361
982374772333350
1021020222121201
116774698433996
122435a39a36269
13b96276c88264
1452955428a289
15266bb6ae1c86
hex131e26df64f1

21020222121201 has 48 divisors (see below), whose sum is σ = 30837847339728. Its totient is φ = 13795778304000.

The previous prime is 21020222121163. The next prime is 21020222121233. The reversal of 21020222121201 is 10212122202012.

It is a happy number.

21020222121201 is a `hidden beast` number, since 21 + 0 + 202 + 221 + 21 + 201 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 5058990608400 + 15961231512801 = 2249220^2 + 3995151^2 .

It is not a de Polignac number, because 21020222121201 - 218 = 21020221859057 is a prime.

It is a super-3 number, since 3×210202221212013 (a number of 41 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (21020222122201) 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, 296688541 + ... + 296759381.

It is an arithmetic number, because the mean of its divisors is an integer number (642455152911).

Almost surely, 221020222121201 is an apocalyptic number.

It is an amenable number.

21020222121201 is a deficient number, since it is larger than the sum of its proper divisors (9817625218527).

21020222121201 is a wasteful number, since it uses less digits than its factorization.

21020222121201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72802 (or 72799 counting only the distinct ones).

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

Adding to 21020222121201 its reverse (10212122202012), we get a palindrome (31232344323213).

The spelling of 21020222121201 in words is "twenty-one trillion, twenty billion, two hundred twenty-two million, one hundred twenty-one thousand, two hundred one".

Divisors: 1 3 9 101 197 303 591 909 1657 1773 4971 14913 19897 59691 70841 167357 179073 212523 326429 502071 637569 979287 1506213 2937861 7154941 13955677 21464823 32969329 41867031 64394469 98907987 117383537 125601093 296723961 352150611 1056451833 1409523377 4228570131 11855737237 12685710393 23124556789 35567211711 69373670367 106701635133 208121011101 2335580235689 7006740707067 21020222121201