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10224003221322 = 23112912494276777
BaseRepresentation
bin1001010011000111011000…
…0101001000011101001010
31100012101221100210220211220
42110301312011020131022
52320002224311040242
633424501531302510
72103442221326352
oct224616605103512
940171840726756
1010224003221322
113291a80308710
121191591baaa36
13592172331027
14274bb7047b62
1512ae3a7e2bec
hex94c7614874a

10224003221322 has 64 divisors (see below), whose sum is σ = 23094601200000. Its totient is φ = 2988953210880.

The previous prime is 10224003221317. The next prime is 10224003221339. The reversal of 10224003221322 is 22312230042201.

It is a junction number, because it is equal to n+sod(n) for n = 10224003221292 and 10224003221301.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 252198 + ... + 4528974.

It is an arithmetic number, because the mean of its divisors is an integer number (360853143750).

Almost surely, 210224003221322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10224003221322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11547300600000).

10224003221322 is an abundant number, since it is smaller than the sum of its proper divisors (12870597978678).

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

10224003221322 is a wasteful number, since it uses less digits than its factorization.

10224003221322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4278071.

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 10224003221322 its reverse (22312230042201), we get a palindrome (32536233263523).

The spelling of 10224003221322 in words is "ten trillion, two hundred twenty-four billion, three million, two hundred twenty-one thousand, three hundred twenty-two".

Divisors: 1 2 3 6 11 22 29 33 58 66 87 174 319 638 957 1249 1914 2498 3747 7494 13739 27478 36221 41217 72442 82434 108663 217326 398431 796862 1195293 2390586 4276777 8553554 12830331 25660662 47044547 94089094 124026533 141133641 248053066 282267282 372079599 744159198 1364291863 2728583726 4092875589 5341694473 8185751178 10683388946 16025083419 32050166838 58758639203 117517278406 154909139717 176275917609 309818279434 352551835218 464727419151 929454838302 1704000536887 3408001073774 5112001610661 10224003221322