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13430024322 = 231113107241607
BaseRepresentation
bin11001000000111110…
…11110100010000010
31021122221221220221020
430200133132202002
5210001041234242
610100352010310
7653544215601
oct144037364202
937587856836
1013430024322
115771998060
122729830996
1313604c6370
14915907a38
155390966ec
hex3207de882

13430024322 has 128 divisors (see below), whose sum is σ = 32035627008. Its totient is φ = 3699993600.

The previous prime is 13430024287. The next prime is 13430024341. The reversal of 13430024322 is 22342003431.

It is a junction number, because it is equal to n+sod(n) for n = 13430024292 and 13430024301.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22124943 + ... + 22125549.

It is an arithmetic number, because the mean of its divisors is an integer number (250278336).

Almost surely, 213430024322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13430024322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16017813504).

13430024322 is an abundant number, since it is smaller than the sum of its proper divisors (18605602686).

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

13430024322 is a wasteful number, since it uses less digits than its factorization.

13430024322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 984.

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 13430024322 its reverse (22342003431), we get a palindrome (35772027753).

The spelling of 13430024322 in words is "thirteen billion, four hundred thirty million, twenty-four thousand, three hundred twenty-two".

Divisors: 1 2 3 6 11 13 22 26 33 39 66 78 107 143 214 241 286 321 429 482 607 642 723 858 1177 1214 1391 1446 1821 2354 2651 2782 3133 3531 3642 4173 5302 6266 6677 7062 7891 7953 8346 9399 13354 15301 15782 15906 18798 20031 23673 25787 30602 34463 40062 45903 47346 51574 64949 68926 77361 86801 91806 103389 129898 146287 154722 173602 194847 206778 260403 283657 292574 335231 389694 438861 520806 567314 670462 714439 844337 850971 877722 1005693 1428878 1609157 1688674 1701942 1901731 2011386 2143317 2533011 3218314 3687541 3803462 4286634 4827471 5066022 5705193 7375082 9287707 9654942 11062623 11410386 15652709 18575414 20919041 22125246 27863121 31305418 41838082 46958127 55726242 62757123 93916254 125514246 172179799 203485217 344359598 406970434 516539397 610455651 1033078794 1220911302 2238337387 4476674774 6715012161 13430024322