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12322203002130 = 23571932663114167
BaseRepresentation
bin1011001101001111110010…
…0010000110010100010010
31121121222202111212111120210
42303103330202012110102
53103341332432032010
642112424130344550
72411151451233450
oct263237442062422
947558674774523
1012322203002130
113a208a93a023a
121470160a2b156
136b4c95439078
1430857d8259d0
151657de95bb20
hexb34fc886512

12322203002130 has 128 divisors (see below), whose sum is σ = 33986217074688. Its totient is φ = 2800833564672.

The previous prime is 12322203002129. The next prime is 12322203002203. The reversal of 12322203002130 is 3120030222321.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 12322203002097 and 12322203002106.

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, 107874307 + ... + 107988473.

It is an arithmetic number, because the mean of its divisors is an integer number (265517320896).

Almost surely, 212322203002130 is an apocalyptic number.

12322203002130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12322203002130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16993108537344).

12322203002130 is an abundant number, since it is smaller than the sum of its proper divisors (21664014072558).

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

12322203002130 is a wasteful number, since it uses less digits than its factorization.

12322203002130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117040.

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 12322203002130 its reverse (3120030222321), we get a palindrome (15442233224451).

The spelling of 12322203002130 in words is "twelve trillion, three hundred twenty-two billion, two hundred three million, two thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 193 210 386 579 965 1158 1351 1930 2663 2702 2895 4053 5326 5790 6755 7989 8106 13315 13510 15978 18641 20265 26630 37282 39945 40530 55923 79890 93205 111846 114167 186410 228334 279615 342501 513959 559230 570835 685002 799169 1027918 1141670 1541877 1598338 1712505 2397507 2569795 3083754 3425010 3597713 3995845 4795014 5139590 7195426 7709385 7991690 10793139 11987535 15418770 17988565 21586278 22034231 23975070 35977130 44068462 53965695 66102693 107931390 110171155 132205386 154239617 220342310 304026721 308479234 330513465 462718851 608053442 661026930 771198085 912080163 925437702 1520133605 1542396170 1824160326 2128187047 2313594255 3040267210 4256374094 4560400815 4627188510 6384561141 9120801630 10640935235 12769122282 21281870470 31922805705 58677157153 63845611410 117354314306 176031471459 293385785765 352062942918 410740100071 586771571530 821480200142 880157357295 1232220300213 1760314714590 2053700500355 2464440600426 4107401000710 6161101501065 12322203002130