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1013222322 = 232761241547
BaseRepresentation
bin111100011001001…
…000101110110010
32121121120000201200
4330121020232302
54033341103242
6244312512030
734052150640
oct7431105662
92547500650
101013222322
1147aa34a22
122433ab616
13131bb9648
14987d0190
155de4404c
hex3c648bb2

1013222322 has 96 divisors (see below), whose sum is σ = 2565323904. Its totient is φ = 283046400.

The previous prime is 1013222311. The next prime is 1013222351. The reversal of 1013222322 is 2232223101.

1013222322 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 = 1013222295 and 1013222304.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1852053 + ... + 1852599.

It is an arithmetic number, because the mean of its divisors is an integer number (26722124).

Almost surely, 21013222322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1013222322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1282661952).

1013222322 is an abundant number, since it is smaller than the sum of its proper divisors (1552101582).

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

1013222322 is a wasteful number, since it uses less digits than its factorization.

1013222322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 864 (or 861 counting only the distinct ones).

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

The square root of 1013222322 is about 31831.1533250054. The cubic root of 1013222322 is about 1004.3881565825.

Adding to 1013222322 its reverse (2232223101), we get a palindrome (3245445423).

The spelling of 1013222322 in words is "one billion, thirteen million, two hundred twenty-two thousand, three hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 61 63 122 126 183 241 366 427 482 547 549 723 854 1094 1098 1281 1446 1641 1687 2169 2562 3282 3374 3829 3843 4338 4923 5061 7658 7686 9846 10122 11487 14701 15183 22974 29402 30366 33367 34461 44103 66734 68922 88206 100101 102907 131827 132309 200202 205814 233569 263654 264618 300303 308721 395481 467138 600606 617442 700707 790962 922789 926163 1186443 1401414 1845578 1852326 2102121 2372886 2768367 4204242 5536734 8041447 8305101 16082894 16610202 24124341 48248682 56290129 72373023 112580258 144746046 168870387 337740774 506611161 1013222322