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13104321334340 = 2251929259694997
BaseRepresentation
bin1011111010110001011001…
…1010110000110001000100
31201101202112200111101211012
42332230112122300301010
53204200122230144330
643512013032501352
72521520204330315
oct276542632606104
951352480441735
1013104321334340
1141a2569845295
12157785684a858
13740969846c12
14334376d6460c
1517ad17e6bc95
hexbeb166b0c44

13104321334340 has 144 divisors (see below), whose sum is σ = 30509300203200. Its totient is φ = 4713340552704.

The previous prime is 13104321334337. The next prime is 13104321334373. The reversal of 13104321334340 is 4343312340131.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 13104321334297 and 13104321334306.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18507722 + ... + 19202718.

It is an arithmetic number, because the mean of its divisors is an integer number (211870140300).

Almost surely, 213104321334340 is an apocalyptic number.

13104321334340 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 13104321334340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15254650101600).

13104321334340 is an abundant number, since it is smaller than the sum of its proper divisors (17404978868860).

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

13104321334340 is a wasteful number, since it uses less digits than its factorization.

13104321334340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 695142 (or 695111 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 32.

Adding to 13104321334340 its reverse (4343312340131), we get a palindrome (17447633674471).

The spelling of 13104321334340 in words is "thirteen trillion, one hundred four billion, three hundred twenty-one million, three hundred thirty-four thousand, three hundred forty".

Divisors: 1 2 4 5 10 19 20 29 38 58 59 76 95 116 118 145 190 236 290 295 380 551 580 590 841 1102 1121 1180 1682 1711 2204 2242 2755 3364 3422 4205 4484 5510 5605 6844 8410 8555 11020 11210 15979 16820 17110 22420 31958 32509 34220 49619 63916 65018 79895 99238 130036 159790 162545 198476 248095 319580 325090 496190 650180 694997 942761 992380 1389994 1885522 2779988 3474985 3771044 4713805 6949970 9427610 13204943 13899940 18855220 20154913 26409886 40309826 41004823 52819772 66024715 80619652 82009646 100774565 132049430 164019292 201549130 205024115 264098860 382943347 403098260 410048230 584492477 765886694 779091637 820096460 1168984954 1189139867 1531773388 1558183274 1914716735 2337969908 2378279734 2922462385 3116366548 3829433470 3895458185 4756559468 5844924770 5945699335 7658866940 7790916370 11105357063 11689849540 11891398670 15581832740 22210714126 22593657473 23782797340 34485056143 44421428252 45187314946 55526785315 68970112286 90374629892 111053570630 112968287365 137940224572 172425280715 222107141260 225936574730 344850561430 451873149460 655216066717 689701122860 1310432133434 2620864266868 3276080333585 6552160667170 13104321334340