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10010000220 = 22351115166667
BaseRepresentation
bin10010101001010010…
…00111101101011100
3221211121120200211220
421110221013231130
5131000030001340
64333141013340
7503025412053
oct112451075534
927747520756
1010010000220
114277425360
121b343b4250
13c36aac16c
146ad60739a
153d8bd5ed0
hex254a47b5c

10010000220 has 48 divisors (see below), whose sum is σ = 30576002688. Its totient is φ = 2426666560.

The previous prime is 10010000183. The next prime is 10010000251. The reversal of 10010000220 is 2200001001.

It is a happy number.

10010000220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a junction number, because it is equal to n+sod(n) for n = 10010000199 and 10010000208.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7582674 + ... + 7583993.

It is an arithmetic number, because the mean of its divisors is an integer number (637000056).

Almost surely, 210010000220 is an apocalyptic number.

10010000220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10010000220 is an abundant number, since it is smaller than the sum of its proper divisors (20566002468).

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

10010000220 is a wasteful number, since it uses less digits than its factorization.

10010000220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15166690 (or 15166688 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

Adding to 10010000220 its reverse (2200001001), we get a palindrome (12210001221).

The spelling of 10010000220 in words is "ten billion, ten million, two hundred twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 15166667 30333334 45500001 60666668 75833335 91000002 151666670 166833337 182000004 227500005 303333340 333666674 455000010 500500011 667333348 834166685 910000020 1001000022 1668333370 2002000044 2502500055 3336666740 5005000110 10010000220