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13104442101300 = 223521126771483393
BaseRepresentation
bin1011111010110001110110…
…0111011100111000110100
31201101202212002201222221120
42332230131213130320310
53204200344134220200
643512033025143540
72521523201664504
oct276543547347064
951352762658846
1013104442101300
1141a2620a302a0
12157788b18abb0
1374098887bc64
14334388ddda04
1517ad238749a0
hexbeb1d9dce34

13104442101300 has 144 divisors (see below), whose sum is σ = 41377863438912. Its totient is φ = 3175645593600.

The previous prime is 13104442101299. The next prime is 13104442101319. The reversal of 13104442101300 is 310124440131.

It is a congruent number.

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, 8092404 + ... + 9575796.

Almost surely, 213104442101300 is an apocalyptic number.

13104442101300 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 13104442101300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20688931719456).

13104442101300 is an abundant number, since it is smaller than the sum of its proper divisors (28273421337612).

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

13104442101300 is a wasteful number, since it uses less digits than its factorization.

13104442101300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1486098 (or 1486091 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 13104442101300 its reverse (310124440131), we get a palindrome (13414566541431).

The spelling of 13104442101300 in words is "thirteen trillion, one hundred four billion, four hundred forty-two million, one hundred one thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 550 660 825 1100 1650 2677 3300 5354 8031 10708 13385 16062 26770 29447 32124 40155 53540 58894 66925 80310 88341 117788 133850 147235 160620 176682 200775 267700 294470 353364 401550 441705 588940 736175 803100 883410 1472350 1483393 1766820 2208525 2944700 2966786 4417050 4450179 5933572 7416965 8834100 8900358 14833930 16317323 17800716 22250895 29667860 32634646 37084825 44501790 48951969 65269292 74169650 81586615 89003580 97903938 111254475 148339300 163173230 195807876 222508950 244759845 326346460 407933075 445017900 489519690 815866150 979039380 1223799225 1631732300 2447598450 3971043061 4895196900 7942086122 11913129183 15884172244 19855215305 23826258366 39710430610 43681473671 47652516732 59565645915 79420861220 87362947342 99276076525 119131291830 131044421013 174725894684 198552153050 218407368355 238262583660 262088842026 297828229575 397104306100 436814736710 524177684052 595656459150 655222105065 873629473420 1092036841775 1191312918300 1310444210130 2184073683550 2620888420260 3276110525325 4368147367100 6552221050650 13104442101300