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13032200301330 = 2357594392395973
BaseRepresentation
bin1011110110100100101110…
…1010110110101100010010
31201010212101110001022122110
42331221023222312230102
53202004421234120310
643414524332450150
72513355033553050
oct275511352665422
951125343038573
1013032200301330
114174a1a359781
121565889619956
13736c14b59062
14330a947891d0
15178ee653bd20
hexbda4bab6b12

13032200301330 has 128 divisors (see below), whose sum is σ = 36434139033600. Its totient is φ = 2921629089024.

The previous prime is 13032200301311. The next prime is 13032200301401. The reversal of 13032200301330 is 3310300223031.

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 = 13032200301297 and 13032200301306.

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, 4241224 + ... + 6637196.

It is an arithmetic number, because the mean of its divisors is an integer number (284641711200).

Almost surely, 213032200301330 is an apocalyptic number.

13032200301330 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 13032200301330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18217069516800).

13032200301330 is an abundant number, since it is smaller than the sum of its proper divisors (23401938732270).

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

13032200301330 is a wasteful number, since it uses less digits than its factorization.

13032200301330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2396488.

The product of its (nonzero) digits is 972, while the sum is 21.

Adding to 13032200301330 its reverse (3310300223031), we get a palindrome (16342500524361).

The spelling of 13032200301330 in words is "thirteen trillion, thirty-two billion, two hundred million, three hundred one thousand, three hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 59 70 105 118 177 210 295 354 413 439 590 826 878 885 1239 1317 1770 2065 2195 2478 2634 3073 4130 4390 6146 6195 6585 9219 12390 13170 15365 18438 25901 30730 46095 51802 77703 92190 129505 155406 181307 259010 362614 388515 543921 777030 906535 1087842 1813070 2395973 2719605 4791946 5439210 7187919 11979865 14375838 16771811 23959730 33543622 35939595 50315433 71879190 83859055 100630866 141362407 167718110 251577165 282724814 424087221 503154330 706812035 848174442 989536849 1051832147 1413624070 1979073698 2103664294 2120436105 2968610547 3155496441 4240872210 4947684245 5259160735 5937221094 6310992882 7362825029 9895368490 10518321470 14725650058 14843052735 15777482205 22088475087 29686105470 31554964410 36814125145 44176950174 62058096673 73628250290 110442375435 124116193346 186174290019 220884750870 310290483365 372348580038 434406676711 620580966730 868813353422 930871450095 1303220030133 1861742900190 2172033383555 2606440060266 4344066767110 6516100150665 13032200301330