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10022020110 = 2335349106357
BaseRepresentation
bin10010101010101101…
…11110010000001110
3221212110012101001000
421111112332100032
5131011114120420
64334250401130
7503232523344
oct112526762016
927773171030
1010022020110
114283195053
121b384301a6
13c3942a21b
146b1055994
153d9cac690
hex2555be40e

10022020110 has 64 divisors (see below), whose sum is σ = 26802216000. Its totient is φ = 2664855936.

The previous prime is 10022020097. The next prime is 10022020139. The reversal of 10022020110 is 1102022001.

10022020110 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 (9).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10022020092 and 10022020101.

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 31 ways as a sum of consecutive naturals, for example, 41052 + ... + 147408.

It is an arithmetic number, because the mean of its divisors is an integer number (418784625).

Almost surely, 210022020110 is an apocalyptic number.

10022020110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10022020110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13401108000).

10022020110 is an abundant number, since it is smaller than the sum of its proper divisors (16780195890).

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

10022020110 is a wasteful number, since it uses less digits than its factorization.

10022020110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106722 (or 106716 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 10022020110 its reverse (1102022001), we get a palindrome (11124042111).

The spelling of 10022020110 in words is "ten billion, twenty-two million, twenty thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 349 698 1047 1745 2094 3141 3490 5235 6282 9423 10470 15705 18846 31410 47115 94230 106357 212714 319071 531785 638142 957213 1063570 1595355 1914426 2871639 3190710 4786065 5743278 9572130 14358195 28716390 37118593 74237186 111355779 185592965 222711558 334067337 371185930 556778895 668134674 1002202011 1113557790 1670336685 2004404022 3340673370 5011010055 10022020110