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210212012010220 = 2251117911287472937
BaseRepresentation
bin101111110010111111001100…
…010011011010101011101100
31000120022001221112212100011121
4233302333030103122223230
5210023103200033311340
62023030022023430324
762164213423224103
oct5762771423325354
91016261845770147
10210212012010220
1160a86460622640
121b6b05b55b53a4
13903aba521490c
1439ca45c29b03a
15194816bc9a94a
hexbf2fcc4daaec

210212012010220 has 96 divisors (see below), whose sum is σ = 484310910343680. Its totient is φ = 76006793111040.

The previous prime is 210212012010211. The next prime is 210212012010229. The reversal of 210212012010220 is 22010210212012.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (210212012010211) and next prime (210212012010229).

It is a junction number, because it is equal to n+sod(n) for n = 210212012010194 and 210212012010203.

It is not an unprimeable number, because it can be changed into a prime (210212012010229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 444245592 + ... + 444718528.

It is an arithmetic number, because the mean of its divisors is an integer number (5044905316080).

Almost surely, 2210212012010220 is an apocalyptic number.

210212012010220 is a gapful number since it is divisible by the number (20) 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 210212012010220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242155455171840).

210212012010220 is an abundant number, since it is smaller than the sum of its proper divisors (274098898333460).

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

210212012010220 is a wasteful number, since it uses less digits than its factorization.

210212012010220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 484423 (or 484421 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 210212012010220 its reverse (22010210212012), we get a palindrome (232222222222232).

The spelling of 210212012010220 in words is "two hundred ten trillion, two hundred twelve billion, twelve million, ten thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 179 220 358 716 895 1790 1969 3580 3938 7876 9845 11287 19690 22574 39380 45148 56435 112870 124157 225740 248314 472937 496628 620785 945874 1241570 1891748 2020373 2364685 2483140 4040746 4729370 5202307 8081492 9458740 10101865 10404614 20203730 20809228 22224103 26011535 40407460 44448206 52023070 84655723 88896412 104046140 111120515 169311446 222241030 338622892 423278615 444482060 846557230 931212953 1693114460 1862425906 3724851812 4656064765 5338039919 9312129530 10676079838 18624259060 21352159676 26690199595 53380399190 58718439109 106760798380 117436878218 234873756436 293592195545 587184391090 955509145501 1174368782180 1911018291002 3822036582004 4777545727505 9555091455010 10510600600511 19110182910020 21021201201022 42042402402044 52553003002555 105106006005110 210212012010220