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20001120210 = 234585728813
BaseRepresentation
bin10010101000001010…
…001101111111010010
31220121220122011220000
4102220022031333102
5311430241321320
613104405230430
71305434500551
oct225012157722
956556564800
1020001120210
118534124715
123a62402416
131b699aa796
14d7a4d7d98
157c0ddcc90
hex4a828dfd2

20001120210 has 80 divisors (see below), whose sum is σ = 53845413336. Its totient is φ = 5327223552.

The previous prime is 20001120197. The next prime is 20001120253. The reversal of 20001120210 is 1202110002.

It can be written as a sum of positive squares in 4 ways, for example, as 17037297729 + 2963822481 = 130527^2 + 54441^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 20001120192 and 20001120201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 679764 + ... + 708576.

Almost surely, 220001120210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20001120210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26922706668).

20001120210 is an abundant number, since it is smaller than the sum of its proper divisors (33844293126).

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

20001120210 is a wasteful number, since it uses less digits than its factorization.

20001120210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29689 (or 29680 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 20001120210 its reverse (1202110002), we get a palindrome (21203230212).

The spelling of 20001120210 in words is "twenty billion, one million, one hundred twenty thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 270 405 810 857 1714 2571 4285 5142 7713 8570 12855 15426 23139 25710 28813 38565 46278 57626 69417 77130 86439 115695 138834 144065 172878 231390 259317 288130 347085 432195 518634 694170 777951 864390 1296585 1555902 2333853 2593170 3889755 4667706 7779510 11669265 23338530 24692741 49385482 74078223 123463705 148156446 222234669 246927410 370391115 444469338 666704007 740782230 1111173345 1333408014 2000112021 2222346690 3333520035 4000224042 6667040070 10000560105 20001120210