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20021330414022 = 2372337979120639
BaseRepresentation
bin1001000110101100101000…
…10010011000100111000110
32121220000112221101210211220
410203112110102120213012
510111012141041222042
6110325401110541210
74134331142400600
oct443262422304706
977800487353756
1020021330414022
116419aa9077883
1222b4327067806
13b230074b4bb2
144d3075100170
1524ac027ed8ec
hex1235944989c6

20021330414022 has 96 divisors (see below), whose sum is σ = 46725493800960. Its totient is φ = 5702546868480.

The previous prime is 20021330413979. The next prime is 20021330414039. The reversal of 20021330414022 is 22041403312002.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 20021330413983 and 20021330414001.

It is a congruent number.

It is an unprimeable number.

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, 970062379 + ... + 970083017.

It is an arithmetic number, because the mean of its divisors is an integer number (486723893760).

Almost surely, 220021330414022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20021330414022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23362746900480).

20021330414022 is an abundant number, since it is smaller than the sum of its proper divisors (26704163386938).

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

20021330414022 is a wasteful number, since it uses less digits than its factorization.

20021330414022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30786 (or 30779 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 20021330414022 its reverse (22041403312002), we get a palindrome (42062733726024).

The spelling of 20021330414022 in words is "twenty trillion, twenty-one billion, three hundred thirty million, four hundred fourteen thousand, twenty-two".

Divisors: 1 2 3 6 7 14 21 42 49 98 147 294 337 674 1011 2022 2359 4718 7077 9791 14154 16513 19582 20639 29373 33026 41278 49539 58746 61917 68537 99078 123834 137074 144473 205611 288946 411222 433419 479759 866838 959518 1011311 1439277 2022622 2878554 3033933 3299567 6067866 6599134 6955343 9898701 13910686 19797402 20866029 23096969 41732058 46193938 48687401 69290907 97374802 138581814 146062203 161678783 202076449 292124406 323357566 340811807 404152898 485036349 606229347 681623614 970072698 1022435421 1212458694 1414535143 2044870842 2829070286 4243605429 8487210858 9901746001 19803492002 29705238003 59410476006 68099763313 136199526626 204299289939 408598579878 476698343191 953396686382 1430095029573 2860190059146 3336888402337 6673776804674 10010665207011 20021330414022