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20211330424441 = 1317294767097567
BaseRepresentation
bin1001001100001110100010…
…01010111001111001111001
32122120011222100221101111211
410212013101022321321321
510122120301042040231
6110552542414323121
74154135416005202
oct446072112717171
978504870841454
1020211330424441
116492639130882
1223251117b94a1
13b37bc6b1b570
144dc33b0625a9
15250b22db7eb1
hex1261d12b9e79

20211330424441 has 32 divisors (see below), whose sum is σ = 24348365475840. Its totient is φ = 16592959681536.

The previous prime is 20211330424403. The next prime is 20211330424471. The reversal of 20211330424441 is 14442403311202.

It is a happy number.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-20211330424441 is a prime.

It is a super-3 number, since 3×202113304244413 (a number of 41 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (20211330424471) 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, 33247561 + ... + 33850006.

It is an arithmetic number, because the mean of its divisors is an integer number (760886421120).

Almost surely, 220211330424441 is an apocalyptic number.

It is an amenable number.

20211330424441 is a deficient number, since it is larger than the sum of its proper divisors (4137035051399).

20211330424441 is a wasteful number, since it uses less digits than its factorization.

20211330424441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67097673.

The product of its (nonzero) digits is 18432, while the sum is 31.

Adding to 20211330424441 its reverse (14442403311202), we get a palindrome (34653733735643).

The spelling of 20211330424441 in words is "twenty trillion, two hundred eleven billion, three hundred thirty million, four hundred twenty-four thousand, four hundred forty-one".

Divisors: 1 13 17 29 47 221 377 493 611 799 1363 6409 10387 17719 23171 301223 67097567 872268371 1140658639 1945829443 3153585649 14828562307 25295782759 33079100531 40996613437 53610956033 91453983821 430028306903 696942428429 1188901789673 1554717724957 20211330424441