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13301220004110 = 2335436329181019
BaseRepresentation
bin1100000110001110111001…
…1111100101000100001110
31202002120202220002012001000
43001203232133211010032
53220411344310112420
644142255054401130
72541660426366243
oct301435637450416
952076686065030
1013301220004110
114269019a26155
1215a9a478001a6
137563b849373c
1433dad51c35ca
15180edded3690
hexc18ee7e510e

13301220004110 has 128 divisors (see below), whose sum is σ = 36300737088000. Its totient is φ = 3463937277696.

The previous prime is 13301220004109. The next prime is 13301220004211. The reversal of 13301220004110 is 1140002210331.

13301220004110 is a `hidden beast` number, since 1 + 3 + 30 + 1 + 220 + 0 + 0 + 411 + 0 = 666.

13301220004110 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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, 73389181 + ... + 73570199.

It is an arithmetic number, because the mean of its divisors is an integer number (283599508500).

Almost surely, 213301220004110 is an apocalyptic number.

13301220004110 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 13301220004110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18150368544000).

13301220004110 is an abundant number, since it is smaller than the sum of its proper divisors (22999517083890).

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

13301220004110 is a wasteful number, since it uses less digits than its factorization.

13301220004110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187407 (or 187401 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 13301220004110 its reverse (1140002210331), we get a palindrome (14441222214441).

The spelling of 13301220004110 in words is "thirteen trillion, three hundred one billion, two hundred twenty million, four thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 43 45 54 86 90 129 135 215 258 270 387 430 645 774 1161 1290 1935 2322 3870 5805 6329 11610 12658 18987 31645 37974 56961 63290 94935 113922 170883 181019 189870 272147 284805 341766 362038 543057 544294 569610 816441 854415 905095 1086114 1360735 1629171 1632882 1708830 1810190 2449323 2715285 2721470 3258342 4082205 4887513 4898646 5430570 7347969 7783817 8145855 8164410 9775026 12246615 14695938 15567634 16291710 23351451 24437565 24493230 36739845 38919085 46702902 48875130 70054353 73479690 77838170 116757255 140108706 210163059 233514510 350271765 420326118 700543530 1050815295 1145669251 2101630590 2291338502 3437007753 5728346255 6874015506 10311023259 11456692510 17185038765 20622046518 30933069777 34370077530 49263777793 51555116295 61866139554 98527555586 103110232590 147791333379 154665348885 246318888965 295582666758 309330697770 443374000137 492637777930 738956666895 886748000274 1330122000411 1477913333790 2216870000685 2660244000822 4433740001370 6650610002055 13301220004110