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10322232122020 = 22571323659119233
BaseRepresentation
bin1001011000110101010011…
…1110101001101010100100
31100112210111002211002121011
42112031110332221222210
52323104412410401040
633541545025432004
72113520351240140
oct226152476515244
940483432732534
1010322232122020
11331a6a7a29685
1211a862679b604
1359b4c7c2c200
14279854b96220
1512d7892d23ea
hex96354fa9aa4

10322232122020 has 144 divisors (see below), whose sum is σ = 26833144302720. Its totient is φ = 3265896112128.

The previous prime is 10322232122003. The next prime is 10322232122047. The reversal of 10322232122020 is 2022123222301.

10322232122020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 10322232121982 and 10322232122000.

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, 86512324 + ... + 86631556.

It is an arithmetic number, because the mean of its divisors is an integer number (186341279880).

Almost surely, 210322232122020 is an apocalyptic number.

10322232122020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10322232122020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13416572151360).

10322232122020 is an abundant number, since it is smaller than the sum of its proper divisors (16510912180700).

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

10322232122020 is a wasteful number, since it uses less digits than its factorization.

10322232122020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122934 (or 122919 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 10322232122020 its reverse (2022123222301), we get a palindrome (12344355344321).

The spelling of 10322232122020 in words is "ten trillion, three hundred twenty-two billion, two hundred thirty-two million, one hundred twenty-two thousand, twenty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 52 65 70 91 130 140 169 182 260 338 364 455 676 845 910 1183 1690 1820 2366 3380 3659 4732 5915 7318 11830 14636 18295 23660 25613 36590 47567 51226 73180 95134 102452 119233 128065 190268 237835 238466 256130 332969 475670 476932 512260 596165 618371 665938 834631 951340 1192330 1236742 1331876 1550029 1664845 1669262 2384660 2473484 3091855 3100058 3329690 3338524 4173155 4328597 6183710 6200116 6659380 7750145 8346310 8657194 10850203 12367420 15500290 16692620 17314388 20150377 21642985 21700406 31000580 40300754 43285970 43400812 54251015 80601508 86571940 100751885 108502030 141052639 201503770 217004060 282105278 403007540 436273547 564210556 705263195 872547094 1410526390 1745094188 2181367735 2821052780 3053914829 4362735470 5671556111 6107829658 8725470940 11343112222 12215659316 15269574145 22686224444 28357780555 30539148290 39700892777 56715561110 61078296580 73730229443 79401785554 113431122220 147460458886 158803571108 198504463885 294920917772 368651147215 397008927770 516111606101 737302294430 794017855540 1032223212202 1474604588860 2064446424404 2580558030505 5161116061010 10322232122020