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13130103320020 = 22519721143935977
BaseRepresentation
bin1011111100010001011100…
…1001001110110111010100
31201111020002110211222022201
42333010113021032313110
53210110422422220040
643531515230134244
72523422125516321
oct277042711166724
951436073758281
1013130103320020
11420249a028775
121580851051384
1374321809694b
14335701107b48
1517b826608a9a
hexbf11724edd4

13130103320020 has 96 divisors (see below), whose sum is σ = 27908727517440. Its totient is φ = 5188625648640.

The previous prime is 13130103319943. The next prime is 13130103320029. The reversal of 13130103320020 is 2002330103131.

It is a super-2 number, since 2×131301033200202 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 13130103320020.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13130103320029) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 364940272 + ... + 364976248.

It is an arithmetic number, because the mean of its divisors is an integer number (290715911640).

Almost surely, 213130103320020 is an apocalyptic number.

13130103320020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13130103320020 is an abundant number, since it is smaller than the sum of its proper divisors (14778624197420).

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

13130103320020 is a wasteful number, since it uses less digits than its factorization.

13130103320020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36833 (or 36831 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 13130103320020 its reverse (2002330103131), we get a palindrome (15132433423151).

The spelling of 13130103320020 in words is "thirteen trillion, one hundred thirty billion, one hundred three million, three hundred twenty thousand, twenty".

Divisors: 1 2 4 5 10 20 197 211 394 422 439 788 844 878 985 1055 1756 1970 2110 2195 3940 4220 4390 8780 35977 41567 71954 83134 86483 92629 143908 166268 172966 179885 185258 207835 345932 359770 370516 415670 432415 463145 719540 831340 864830 926290 1729660 1852580 7087469 7591147 14174938 15182294 15793903 18247913 28349876 30364588 31587806 35437345 36495826 37955735 63175612 70874690 72991652 75911470 78969515 91239565 141749380 151822940 157939030 182479130 315878060 364958260 1495455959 2990911918 3111398891 3332513533 5981823836 6222797782 6665027066 7477279795 12445595564 13330054132 14954559590 15556994455 16662567665 29909119180 31113988910 33325135330 62227977820 66650270660 656505166001 1313010332002 2626020664004 3282525830005 6565051660010 13130103320020