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211012000220 = 225759227311239
BaseRepresentation
bin1100010010000101001…
…0111001100111011100
3202011122210022020221102
43010201102321213130
511424123033001340
6240534303252232
721150034256630
oct3044122714734
9664583266842
10211012000220
1181542855a2a
1234a8b5aa078
1316b8a888938
14a2da7d6dc0
1557500d4215
hex31214b99dc

211012000220 has 96 divisors (see below), whose sum is σ = 515284761600. Its totient is φ = 71083137024.

The previous prime is 211012000181. The next prime is 211012000237. The reversal of 211012000220 is 22000210112.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18769361 + ... + 18780599.

It is an arithmetic number, because the mean of its divisors is an integer number (5367549600).

Almost surely, 2211012000220 is an apocalyptic number.

211012000220 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 211012000220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257642380800).

211012000220 is an abundant number, since it is smaller than the sum of its proper divisors (304272761380).

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

211012000220 is a wasteful number, since it uses less digits than its factorization.

211012000220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13587 (or 13585 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 211012000220 its reverse (22000210112), we get a palindrome (233012210332).

The spelling of 211012000220 in words is "two hundred eleven billion, twelve million, two hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 7 10 14 20 28 35 59 70 118 140 236 295 413 590 826 1180 1652 2065 2273 4130 4546 8260 9092 11239 11365 15911 22478 22730 31822 44956 45460 56195 63644 78673 79555 112390 134107 157346 159110 224780 268214 314692 318220 393365 536428 663101 670535 786730 938749 1326202 1341070 1573460 1877498 2652404 2682140 3315505 3754996 4641707 4693745 6631010 9283414 9387490 13262020 18566828 18774980 23208535 25546247 46417070 51092494 92834140 102184988 127731235 178823729 255462470 357647458 510924940 715294916 894118645 1507228573 1788237290 3014457146 3576474580 6028914292 7536142865 10550600011 15072285730 21101200022 30144571460 42202400044 52753000055 105506000110 211012000220