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13103120322320 = 2457311213622249
BaseRepresentation
bin1011111010101100111011…
…0101010000111100010000
31201101122102222120200001112
42332223032311100330100
53204140142300303240
643511253530552452
72521445352025460
oct276531665207420
951348388520045
1013103120322320
1141a2002908176
121577580598728
13740807a89c12
143342a164dba0
1517ac977d1665
hexbeaced50f10

13103120322320 has 160 divisors (see below), whose sum is σ = 35969673984000. Its totient is φ = 4343987957760.

The previous prime is 13103120322307. The next prime is 13103120322403. The reversal of 13103120322320 is 2322302130131.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20746556 + ... + 21368804.

It is an arithmetic number, because the mean of its divisors is an integer number (224810462400).

Almost surely, 213103120322320 is an apocalyptic number.

13103120322320 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 13103120322320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17984836992000).

13103120322320 is an abundant number, since it is smaller than the sum of its proper divisors (22866553661680).

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

13103120322320 is a wasteful number, since it uses less digits than its factorization.

13103120322320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 623513 (or 623507 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 13103120322320 its reverse (2322302130131), we get a palindrome (15425422452451).

The spelling of 13103120322320 in words is "thirteen trillion, one hundred three billion, one hundred twenty million, three hundred twenty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 31 35 40 56 62 70 80 112 124 140 155 217 248 280 310 434 496 560 620 868 1085 1213 1240 1736 2170 2426 2480 3472 4340 4852 6065 8491 8680 9704 12130 16982 17360 19408 24260 33964 37603 42455 48520 67928 75206 84910 97040 135856 150412 169820 188015 263221 300824 339640 376030 526442 601648 622249 679280 752060 1052884 1244498 1316105 1504120 2105768 2488996 2632210 3008240 3111245 4211536 4355743 4977992 5264420 6222490 8711486 9955984 10528840 12444980 17422972 19289719 21057680 21778715 24889960 34845944 38579438 43557430 49779920 69691888 77158876 87114860 96448595 135028033 154317752 174229720 192897190 270056066 308635504 348459440 385794380 540112132 675140165 754788037 771588760 1080224264 1350280330 1509576074 1543177520 2160448528 2700560660 3019152148 3773940185 5283516259 5401121320 6038304296 7547880370 10567032518 10802242640 12076608592 15095760740 21134065036 23398429147 26417581295 30191521480 42268130072 46796858294 52835162590 60383042960 84536260144 93593716588 105670325180 116992145735 163789004029 187187433176 211340650360 233984291470 327578008058 374374866352 422681300720 467968582940 655156016116 818945020145 935937165880 1310312032232 1637890040290 1871874331760 2620624064464 3275780080580 6551560161160 13103120322320