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22001021020121 = 1121337639759093
BaseRepresentation
bin1010000000010100000110…
…00010101110011111011001
32212220021110222112112220212
411000022003002232133121
510340431042340120441
6114443043551100505
74430343545036003
oct500120302563731
985807428475825
1022001021020121
117012642889400
122573b41511735
13c378c2234b10
14560bd856b373
1528246c7e7eeb
hex1402830ae7d9

22001021020121 has 48 divisors (see below), whose sum is σ = 26751669899472. Its totient is φ = 17960299568640.

The previous prime is 22001021020093. The next prime is 22001021020129. The reversal of 22001021020121 is 12102012010022.

It can be written as a sum of positive squares in 8 ways, for example, as 7359752521 + 21993661267600 = 85789^2 + 4689740^2 .

It is not a de Polignac number, because 22001021020121 - 222 = 22001016825817 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 22001021020096 and 22001021020105.

It is not an unprimeable number, because it can be changed into a prime (22001021020129) 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 47 ways as a sum of consecutive naturals, for example, 372282251 + ... + 372341343.

It is an arithmetic number, because the mean of its divisors is an integer number (557326456239).

Almost surely, 222001021020121 is an apocalyptic number.

It is an amenable number.

22001021020121 is a deficient number, since it is larger than the sum of its proper divisors (4750648879351).

22001021020121 is a wasteful number, since it uses less digits than its factorization.

22001021020121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65562 (or 65551 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 22001021020121 its reverse (12102012010022), we get a palindrome (34103033030143).

It can be divided in two parts, 2200102 and 1020121, that added together give a palindrome (3220223).

The spelling of 22001021020121 in words is "twenty-two trillion, one billion, twenty-one million, twenty thousand, one hundred twenty-one".

Divisors: 1 11 13 37 121 143 407 481 1573 4477 5291 6397 58201 59093 70367 83161 236689 650023 768209 774037 914771 2186441 2603579 3076957 7150253 8450299 10062481 24050851 28423733 28639369 33846527 92953289 264559361 312661063 372311797 378017921 3439271693 4158197131 4914232973 13986663077 45740168441 54056562703 153853293847 181826620001 594622189733 1692386232317 2000092820011 22001021020121