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13032020320 = 2551143172199
BaseRepresentation
bin11000010001100010…
…01101100101100000
31020122020001020002021
430020301031211200
5203142144122240
65553053231224
7640642226224
oct141061154540
936566036067
1013032020320
115588265830
122638492514
1312c8c03437
148b8b02784
1551417954a
hex308c4d960

13032020320 has 96 divisors (see below), whose sum is σ = 34368364800. Its totient is φ = 4628682240.

The previous prime is 13032020311. The next prime is 13032020321. The reversal of 13032020320 is 2302023031.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 13032020294 and 13032020303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13032020321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10420 + ... + 161779.

It is an arithmetic number, because the mean of its divisors is an integer number (358003800).

Almost surely, 213032020320 is an apocalyptic number.

13032020320 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 13032020320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17184182400).

13032020320 is an abundant number, since it is smaller than the sum of its proper divisors (21336344480).

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

13032020320 is a wasteful number, since it uses less digits than its factorization.

13032020320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172268 (or 172260 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

Adding to 13032020320 its reverse (2302023031), we get a palindrome (15334043351).

The spelling of 13032020320 in words is "thirteen billion, thirty-two million, twenty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 43 44 55 80 86 88 110 160 172 176 215 220 344 352 430 440 473 688 860 880 946 1376 1720 1760 1892 2365 3440 3784 4730 6880 7568 9460 15136 18920 37840 75680 172199 344398 688796 860995 1377592 1721990 1894189 2755184 3443980 3788378 5510368 6887960 7404557 7576756 9470945 13775920 14809114 15153512 18941890 27551840 29618228 30307024 37022785 37883780 59236456 60614048 74045570 75767560 81450127 118472912 148091140 151535120 162900254 236945824 296182280 303070240 325800508 407250635 592364560 651601016 814501270 1184729120 1303202032 1629002540 2606404064 3258005080 6516010160 13032020320