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10042822230 = 2357615711373
BaseRepresentation
bin10010101101001100…
…10100111001010110
3221220220100020011220
421112212110321112
5131031430302410
64340312311210
7503604403050
oct112646247126
927826306156
1010042822230
114293a02a91
121b433a2506
13c4083177c
146b3b0c8d0
153dba1b070
hex256994e56

10042822230 has 128 divisors (see below), whose sum is σ = 28067060736. Its totient is φ = 2252275200.

The previous prime is 10042822219. The next prime is 10042822253. The reversal of 10042822230 is 3222824001.

10042822230 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 10042822230.

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 63 ways as a sum of consecutive naturals, for example, 7313824 + ... + 7315196.

It is an arithmetic number, because the mean of its divisors is an integer number (219273912).

Almost surely, 210042822230 is an apocalyptic number.

10042822230 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 10042822230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14033530368).

10042822230 is an abundant number, since it is smaller than the sum of its proper divisors (18024238506).

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

10042822230 is a wasteful number, since it uses less digits than its factorization.

10042822230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2022.

The product of its (nonzero) digits is 1536, while the sum is 24.

The spelling of 10042822230 in words is "ten billion, forty-two million, eight hundred twenty-two thousand, two hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 61 70 105 122 183 210 305 366 427 571 610 854 915 1142 1281 1373 1713 1830 2135 2562 2746 2855 3426 3997 4119 4270 5710 6405 6865 7994 8238 8565 9611 11991 12810 13730 17130 19222 19985 20595 23982 28833 34831 39970 41190 48055 57666 59955 69662 83753 96110 104493 119910 144165 167506 174155 208986 243817 251259 288330 348310 418765 487634 502518 522465 586271 731451 783983 837530 1044930 1172542 1219085 1256295 1462902 1567966 1758813 2351949 2438170 2512590 2931355 3517626 3657255 3919915 4703898 5487881 5862710 7314510 7839830 8794065 10975762 11759745 16463643 17588130 23519490 27439405 32927286 47822963 54878810 82318215 95645926 143468889 164636430 239114815 286937778 334760741 478229630 669521482 717344445 1004282223 1434688890 1673803705 2008564446 3347607410 5021411115 10042822230