Search a number
-
+
20020121211112 = 23111676911971467
BaseRepresentation
bin1001000110101010011000…
…01101101001000011101000
32121212220102200001221021221
410203111030031221003220
510111002202012223422
6110325041113311424
74134256160342641
oct443251415510350
977786380057257
1020020121211112
116419538555830
1222b404a105574
13b22b73b1a909
144d2d9c6966c8
1524ab815963c7
hex12354c3690e8

20020121211112 has 64 divisors (see below), whose sum is σ = 41255097085440. Its totient is φ = 9032468625600.

The previous prime is 20020121211071. The next prime is 20020121211133. The reversal of 20020121211112 is 21111212102002.

It is a super-2 number, since 2×200201212111122 (a number of 27 digits) contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 9169203 + ... + 11140669.

It is an arithmetic number, because the mean of its divisors is an integer number (644610891960).

Almost surely, 220020121211112 is an apocalyptic number.

20020121211112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20020121211112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20627548542720).

20020121211112 is an abundant number, since it is smaller than the sum of its proper divisors (21234975874328).

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

20020121211112 is a wasteful number, since it uses less digits than its factorization.

20020121211112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1972342 (or 1972338 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 20020121211112 its reverse (21111212102002), we get a palindrome (41131333313114).

The spelling of 20020121211112 in words is "twenty trillion, twenty billion, one hundred twenty-one million, two hundred eleven thousand, one hundred twelve".

Divisors: 1 2 4 8 11 22 44 88 167 334 668 691 1336 1382 1837 2764 3674 5528 7348 7601 14696 15202 30404 60808 115397 230794 461588 923176 1269367 1971467 2538734 3942934 5077468 7885868 10154936 15771736 21686137 43372274 86744548 173489096 329234989 658469978 1316939956 1362283697 2633879912 2724567394 3621584879 5449134788 7243169758 10898269576 14486339516 14985120667 28972679032 29970241334 59940482668 119880965336 227501377399 455002754798 910005509596 1820011019192 2502515151389 5005030302778 10010060605556 20020121211112