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10103240322 = 234727916111
BaseRepresentation
bin10010110100011001…
…10011011010000010
3222002010000210020000
421122030303122002
5131142412142242
64350311300430
7505240061100
oct113214633202
928063023200
1010103240322
114315019a9a
121b5b67a716
13c501c6b16
146bbb58c70
153e1ea2a4c
hex25a333682

10103240322 has 120 divisors (see below), whose sum is σ = 26669871360. Its totient is φ = 2849923440.

The previous prime is 10103240281. The next prime is 10103240327. The reversal of 10103240322 is 22304230101.

10103240322 is a `hidden beast` number, since 1 + 0 + 103 + 240 + 322 = 666.

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 = 10103240295 and 10103240304.

It is not an unprimeable number, because it can be changed into a prime (10103240327) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 619047 + ... + 635157.

It is an arithmetic number, because the mean of its divisors is an integer number (222248928).

Almost surely, 210103240322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10103240322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13334935680).

10103240322 is an abundant number, since it is smaller than the sum of its proper divisors (16566631038).

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

10103240322 is a wasteful number, since it uses less digits than its factorization.

10103240322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16218 (or 16202 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 10103240322 its reverse (22304230101), we get a palindrome (32407470423).

The spelling of 10103240322 in words is "ten billion, one hundred three million, two hundred forty thousand, three hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 63 79 81 98 126 147 158 162 189 237 294 378 441 474 553 567 711 882 1106 1134 1323 1422 1659 2133 2646 3318 3871 3969 4266 4977 6399 7742 7938 9954 11613 12798 14931 16111 23226 29862 32222 34839 44793 48333 69678 89586 96666 104517 112777 144999 209034 225554 289998 313551 338331 434997 627102 676662 789439 869994 1014993 1272769 1304991 1578878 2029986 2368317 2545538 2609982 3044979 3818307 4736634 6089958 7104951 7636614 8909383 9134937 11454921 14209902 17818766 18269874 21314853 22909842 26728149 34364763 42629706 53456298 62365681 63944559 68729526 80184447 103094289 124731362 127889118 160368894 187097043 206188578 240553341 374194086 481106682 561291129 721660023 1122582258 1443320046 1683873387 3367746774 5051620161 10103240322