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11232111022220 = 22511223296958573
BaseRepresentation
bin1010001101110010110111…
…1111001101000010001100
31110202210001010111022021002
42203130231333031002030
52433011330410202340
635515543252155432
72236331116261034
oct243345577150214
943683033438232
1011232111022220
113640569940400
121314a37308b78
1363625028509a
142ab8cc1ba8c4
1514728dc4a715
hexa372dfcd08c

11232111022220 has 144 divisors (see below), whose sum is σ = 27986827942080. Its totient is φ = 3772102709760.

The previous prime is 11232111022219. The next prime is 11232111022273. The reversal of 11232111022220 is 2222011123211.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 11232111022192 and 11232111022201.

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 47 ways as a sum of consecutive naturals, for example, 1865147 + ... + 5093426.

It is an arithmetic number, because the mean of its divisors is an integer number (194352971820).

Almost surely, 211232111022220 is an apocalyptic number.

11232111022220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11232111022220 is an abundant number, since it is smaller than the sum of its proper divisors (16754716919860).

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

11232111022220 is a wasteful number, since it uses less digits than its factorization.

11232111022220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6958656 (or 6958643 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 11232111022220 its reverse (2222011123211), we get a palindrome (13454122145431).

The spelling of 11232111022220 in words is "eleven trillion, two hundred thirty-two billion, one hundred eleven million, twenty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 23 29 44 46 55 58 92 110 115 116 121 145 220 230 242 253 290 319 460 484 506 580 605 638 667 1012 1210 1265 1276 1334 1595 2420 2530 2668 2783 3190 3335 3509 5060 5566 6380 6670 7018 7337 11132 13340 13915 14036 14674 17545 27830 29348 35090 36685 55660 70180 73370 80707 146740 161414 322828 403535 807070 1614140 6958573 13917146 27834292 34792865 69585730 76544303 139171460 153088606 160047179 201798617 306177212 320094358 382721515 403597234 640188716 765443030 800235895 807194468 841987333 1008993085 1530886060 1600471790 1683974666 1760518969 2017986170 2219784787 3200943580 3367949332 3521037938 4035972340 4209936665 4439569574 4641368191 7042075876 8419873330 8802594845 8879139148 9282736382 11098923935 16839746660 17605189690 18565472764 19365708659 22197847870 23206840955 24417632657 35210379380 38731417318 44395695740 46413681910 48835265314 51055050101 77462834636 92827363820 96828543295 97670530628 102110100202 122088163285 193657086590 204220200404 244176326570 255275250505 387314173180 488352653140 510550501010 561605551111 1021101002020 1123211102222 2246422204444 2808027755555 5616055511110 11232111022220