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13221101230020 = 223251715727519881
BaseRepresentation
bin1100000001100100011100…
…0010101101011111000100
31201210220222021110202121200
43000121013002231133010
53213103303403330040
644041405015142500
72533123133140425
oct300310702553704
951726867422550
1013221101230020
114238045a75372
121596408074a30
1374b98a8739c8
14339c9476b64c
1517dda03a2630
hexc06470ad7c4

13221101230020 has 144 divisors (see below), whose sum is σ = 42733533246768. Its totient is φ = 3297101783040.

The previous prime is 13221101229997. The next prime is 13221101230063. The reversal of 13221101230020 is 2003210112231.

13221101230020 is a `hidden beast` number, since 1 + 322 + 1 + 10 + 12 + 300 + 20 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 161160496704 + 13059940733316 = 401448^2 + 3613854^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 13221101229975 and 13221101230002.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13279521 + ... + 14240360.

It is an arithmetic number, because the mean of its divisors is an integer number (296760647547).

Almost surely, 213221101230020 is an apocalyptic number.

13221101230020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13221101230020 is an abundant number, since it is smaller than the sum of its proper divisors (29512432016748).

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

13221101230020 is a wasteful number, since it uses less digits than its factorization.

13221101230020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27520070 (or 27520065 counting only the distinct ones).

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

Adding to 13221101230020 its reverse (2003210112231), we get a palindrome (15224311342251).

The spelling of 13221101230020 in words is "thirteen trillion, two hundred twenty-one billion, one hundred one million, two hundred thirty thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 153 157 170 180 204 255 306 314 340 471 510 612 628 765 785 942 1020 1413 1530 1570 1884 2355 2669 2826 3060 3140 4710 5338 5652 7065 8007 9420 10676 13345 14130 16014 24021 26690 28260 32028 40035 48042 53380 80070 96084 120105 160140 240210 480420 27519881 55039762 82559643 110079524 137599405 165119286 247678929 275198810 330238572 412798215 467837977 495357858 550397620 825596430 935675954 990715716 1238394645 1403513931 1651192860 1871351908 2339189885 2476789290 2807027862 4210541793 4320621317 4678379770 4953578580 5614055724 7017569655 8421083586 8641242634 9356759540 12961863951 14035139310 16842167172 17282485268 21052708965 21603106585 25923727902 28070278620 38885591853 42105417930 43206213170 51847455804 64809319755 73450562389 77771183706 84210835860 86412426340 129618639510 146901124778 155542367412 194427959265 220351687167 259237279020 293802249556 367252811945 388855918530 440703374334 661055061501 734505623890 777711837060 881406748668 1101758435835 1322110123002 1469011247780 2203516871670 2644220246004 3305275307505 4407033743340 6610550615010 13221101230020