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210201110000020 = 22519753350535533
BaseRepresentation
bin101111110010110101000010…
…011111100011000110010100
31000120021000210202210211200001
4233302311002133203012110
5210022413333130000040
62023021020135501044
762163346313531566
oct5762650237430624
91016230722724601
10210201110000020
1160a81876732a57
121b6aa472527784
139039b586a8ac9
1439c9b06417336
151947c2eb1559a
hexbf2d427e3194

210201110000020 has 24 divisors (see below), whose sum is σ = 443663053500744. Its totient is φ = 83653639714176.

The previous prime is 210201110000009. The next prime is 210201110000027. The reversal of 210201110000020 is 20000011102012.

It can be written as a sum of positive squares in 4 ways, for example, as 31199776376976 + 179001333623044 = 5585676^2 + 13379138^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 210201109999961 and 210201110000006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210201110000027) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26675263827 + ... + 26675271706.

It is an arithmetic number, because the mean of its divisors is an integer number (18485960562531).

Almost surely, 2210201110000020 is an apocalyptic number.

210201110000020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210201110000020 is an abundant number, since it is smaller than the sum of its proper divisors (233461943500724).

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

210201110000020 is a wasteful number, since it uses less digits than its factorization.

210201110000020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53350535739 (or 53350535737 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 210201110000020 its reverse (20000011102012), we get a palindrome (230201121102032).

The spelling of 210201110000020 in words is "two hundred ten trillion, two hundred one billion, one hundred ten million, twenty", and thus it is an aban number.

Divisors: 1 2 4 5 10 20 197 394 788 985 1970 3940 53350535533 106701071066 213402142132 266752677665 533505355330 1067010710660 10510055500001 21020111000002 42040222000004 52550277500005 105100555000010 210201110000020