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10422420030 = 23251119952903
BaseRepresentation
bin10011011010011100…
…11000001000111110
3222220100121210110200
421231032120020332
5132321114420110
64442112344330
7516164052141
oct115516301076
928810553420
1010422420030
114469203480
12202a5450a6
13ca137b859
1470c2c2058
1540eeee6c0
hex26d39823e

10422420030 has 96 divisors (see below), whose sum is σ = 29710886400. Its totient is φ = 2513903040.

The previous prime is 10422420017. The next prime is 10422420049. The reversal of 10422420030 is 3002422401.

10422420030 is a `hidden beast` number, since 10 + 422 + 4 + 200 + 30 = 666.

10422420030 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 (18).

It is a junction number, because it is equal to n+sod(n) for n = 10422419985 and 10422420012.

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 47 ways as a sum of consecutive naturals, for example, 170559 + ... + 223461.

It is an arithmetic number, because the mean of its divisors is an integer number (309488400).

Almost surely, 210422420030 is an apocalyptic number.

10422420030 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 10422420030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14855443200).

10422420030 is an abundant number, since it is smaller than the sum of its proper divisors (19288466370).

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

10422420030 is a wasteful number, since it uses less digits than its factorization.

10422420030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53126 (or 53123 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 10422420030 its reverse (3002422401), we get a palindrome (13424842431).

The spelling of 10422420030 in words is "ten billion, four hundred twenty-two million, four hundred twenty thousand, thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 165 198 199 330 398 495 597 990 995 1194 1791 1990 2189 2985 3582 4378 5970 6567 8955 10945 13134 17910 19701 21890 32835 39402 52903 65670 98505 105806 158709 197010 264515 317418 476127 529030 581933 793545 952254 1163866 1587090 1745799 2380635 2909665 3491598 4761270 5237397 5819330 8728995 10474794 10527697 17457990 21055394 26186985 31583091 52373970 52638485 63166182 94749273 105276970 115804667 157915455 189498546 231609334 315830910 347414001 473746365 579023335 694828002 947492730 1042242003 1158046670 1737070005 2084484006 3474140010 5211210015 10422420030