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20020122212100 = 22352555712008951
BaseRepresentation
bin1001000110101010011000…
…10001011101011100000100
32121212220102201221210101120
410203111030101131130010
510111002202241241400
6110325041150553540
74134256202012163
oct443251421353404
977786381853346
1020020122212100
11641953907989a
1222b404a5088b0
13b22b740ab40a
144d2d9c8773da
1524ab816e2ca0
hex12354c45d704

20020122212100 has 72 divisors (see below), whose sum is σ = 57935315527488. Its totient is φ = 5337738096000.

The previous prime is 20020122212059. The next prime is 20020122212161. The reversal of 20020122212100 is 121222102002.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 20020122212100.

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 23 ways as a sum of consecutive naturals, for example, 4337376 + ... + 7671575.

It is an arithmetic number, because the mean of its divisors is an integer number (804657160104).

Almost surely, 220020122212100 is an apocalyptic number.

20020122212100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20020122212100 is an abundant number, since it is smaller than the sum of its proper divisors (37915193315388).

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

20020122212100 is a wasteful number, since it uses less digits than its factorization.

20020122212100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12014525 (or 12014518 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 20020122212100 its reverse (121222102002), we get a palindrome (20141344314102).

The spelling of 20020122212100 in words is "twenty trillion, twenty billion, one hundred twenty-two million, two hundred twelve thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 5557 11114 16671 22228 27785 33342 55570 66684 83355 111140 138925 166710 277850 333420 416775 555700 833550 1667100 12008951 24017902 36026853 48035804 60044755 72053706 120089510 144107412 180134265 240179020 300223775 360268530 600447550 720537060 900671325 1200895100 1801342650 3602685300 66733740707 133467481414 200201222121 266934962828 333668703535 400402444242 667337407070 800804888484 1001006110605 1334674814140 1668343517675 2002012221210 3336687035350 4004024442420 5005030553025 6673374070700 10010061106050 20020122212100