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201110000121020 = 225232967322400761
BaseRepresentation
bin101101101110100010010010…
…000111100011010010111100
3222101001221001200200121102202
4231232202102013203102330
5202324441240012333040
61551420354132211032
760234501165550034
oct5556422207432274
9871057050617382
10201110000121020
11590972aa161271
121a680570169a78
13882a78ca97713
143793ac12828c4
15183b4ec924015
hexb6e8921e34bc

201110000121020 has 96 divisors (see below), whose sum is σ = 456566954901120. Its totient is φ = 74182715228160.

The previous prime is 201110000121013. The next prime is 201110000121029. The reversal of 201110000121020 is 20121000011102.

201110000121020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 201110000120992 and 201110000121010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201110000121029) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2222561 + ... + 20178200.

It is an arithmetic number, because the mean of its divisors is an integer number (4755905780220).

Almost surely, 2201110000121020 is an apocalyptic number.

201110000121020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201110000121020 is an abundant number, since it is smaller than the sum of its proper divisors (255456954780100).

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

201110000121020 is a wasteful number, since it uses less digits than its factorization.

201110000121020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22401495 (or 22401493 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 201110000121020 its reverse (20121000011102), we get a palindrome (221231000132122).

The spelling of 201110000121020 in words is "two hundred one trillion, one hundred ten billion, one hundred twenty-one thousand, twenty".

Divisors: 1 2 4 5 10 20 23 29 46 58 92 115 116 145 230 290 460 580 667 673 1334 1346 2668 2692 3335 3365 6670 6730 13340 13460 15479 19517 30958 39034 61916 77395 78068 97585 154790 195170 309580 390340 448891 897782 1795564 2244455 4488910 8977820 22400761 44801522 89603044 112003805 224007610 448015220 515217503 649622069 1030435006 1299244138 2060870012 2576087515 2598488276 3248110345 5152175030 6496220690 10304350060 12992441380 14941307587 15075712153 29882615174 30151424306 59765230348 60302848612 74706537935 75378560765 149413075870 150757121530 298826151740 301514243060 346741379519 437195652437 693482759038 874391304874 1386965518076 1733706897595 1748782609748 2185978262185 3467413795190 4371956524370 6934827590380 8743913048740 10055500006051 20111000012102 40222000024204 50277500030255 100555000060510 201110000121020