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2101012000220 = 2257193699711113
BaseRepresentation
bin11110100100101110000…
…100101110110111011100
321102212002010202010112102
4132210232010232313130
5233410333033001340
64245105214424232
7304536015224360
oct36445604566734
97385063663472
102101012000220
11740041556701
1229b234802078
131231809230c3
14739920a32a0
15399baeb9215
hex1e92e12eddc

2101012000220 has 96 divisors (see below), whose sum is σ = 5069735922048. Its totient is φ = 716447711232.

The previous prime is 2101012000189. The next prime is 2101012000327. The reversal of 2101012000220 is 220002101012.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 189053384 + ... + 189064496.

It is an arithmetic number, because the mean of its divisors is an integer number (52809749188).

Almost surely, 22101012000220 is an apocalyptic number.

2101012000220 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 2101012000220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2534867961024).

2101012000220 is an abundant number, since it is smaller than the sum of its proper divisors (2968723921828).

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

2101012000220 is a wasteful number, since it uses less digits than its factorization.

2101012000220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18319 (or 18317 counting only the distinct ones).

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

Adding to 2101012000220 its reverse (220002101012), we get a palindrome (2321014101232).

The spelling of 2101012000220 in words is "two trillion, one hundred one billion, twelve million, two hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 193 386 772 965 1351 1930 2702 3860 5404 6755 6997 11113 13510 13994 22226 27020 27988 34985 44452 48979 55565 69970 77791 97958 111130 139940 155582 195916 222260 244895 311164 388955 489790 777910 979580 1350421 1555820 2144809 2700842 4289618 5401684 6752105 8579236 9452947 10724045 13504210 15013663 18905894 21448090 27008420 30027326 37811788 42896180 47264735 60054652 75068315 77757661 94529470 150136630 155515322 189058940 300273260 311030644 388788305 544303627 777576610 1088607254 1555153220 2177214508 2721518135 5443036270 10886072540 15007228573 30014457146 60028914292 75036142865 105050600011 150072285730 210101200022 300144571460 420202400044 525253000055 1050506000110 2101012000220