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13032013032120 = 2335799771407047
BaseRepresentation
bin1011110110100100000010…
…0000011110101010111000
31201010211220101200001120210
42331221000200132222320
53202004030314011440
643414454002551120
72513350301030505
oct275510040365270
951124811601523
1013032013032120
114174933681635
1215658369684a0
13736bb510b584
14330a7795c4ac
15178ed4d99a80
hexbda4081eab8

13032013032120 has 128 divisors (see below), whose sum is σ = 39631476787200. Its totient is φ = 3427699132416.

The previous prime is 13032013032109. The next prime is 13032013032131. The reversal of 13032013032120 is 2123031023031.

It is an interprime number because it is at equal distance from previous prime (13032013032109) and next prime (13032013032131).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8558437 + ... + 9965483.

It is an arithmetic number, because the mean of its divisors is an integer number (309620912400).

Almost surely, 213032013032120 is an apocalyptic number.

13032013032120 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 13032013032120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19815738393600).

13032013032120 is an abundant number, since it is smaller than the sum of its proper divisors (26599463755080).

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

13032013032120 is a wasteful number, since it uses less digits than its factorization.

13032013032120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1408117 (or 1408113 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 13032013032120 its reverse (2123031023031), we get a palindrome (15155044055151).

The spelling of 13032013032120 in words is "thirteen trillion, thirty-two billion, thirteen million, thirty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 79 120 158 237 316 395 474 632 790 948 977 1185 1580 1896 1954 2370 2931 3160 3908 4740 4885 5862 7816 9480 9770 11724 14655 19540 23448 29310 39080 58620 77183 117240 154366 231549 308732 385915 463098 617464 771830 926196 1157745 1407047 1543660 1852392 2315490 2814094 3087320 4221141 4630980 5628188 7035235 8442282 9261960 11256376 14070470 16884564 21105705 28140940 33769128 42211410 56281880 84422820 111156713 168845640 222313426 333470139 444626852 555783565 666940278 889253704 1111567130 1333880556 1374684919 1667350695 2223134260 2667761112 2749369838 3334701390 4124054757 4446268520 5498739676 6669402780 6873424595 8248109514 10997479352 13338805560 13746849190 16496219028 20620273785 27493698380 32992438056 41240547570 54987396760 82481095140 108600108601 164962190280 217200217202 325800325803 434400434404 543000543005 651600651606 868800868808 1086001086010 1303201303212 1629001629015 2172002172020 2606402606424 3258003258030 4344004344040 6516006516060 13032013032120