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11103000332220 = 22325378320085749
BaseRepresentation
bin1010000110010001111001…
…1001000000011110111100
31110022102210011221200121200
42201210132121000132330
52423402421041112340
635340351542055500
72224110461440146
oct241443631003674
943272704850550
1011103000332220
1135a0835262015
1212b3a0441a590
136270157032b4
142a5560c87c96
15143c34001330
hexa191e6407bc

11103000332220 has 144 divisors (see below), whose sum is σ = 35006087844000. Its totient is φ = 2846070148608.

The previous prime is 11103000332161. The next prime is 11103000332287. The reversal of 11103000332220 is 2223300030111.

11103000332220 is a `hidden beast` number, since 1 + 1 + 10 + 300 + 0 + 332 + 2 + 20 = 666.

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 = 11103000332193 and 11103000332202.

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, 9490095 + ... + 10595654.

It is an arithmetic number, because the mean of its divisors is an integer number (243097832250).

Almost surely, 211103000332220 is an apocalyptic number.

11103000332220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11103000332220 is an abundant number, since it is smaller than the sum of its proper divisors (23903087511780).

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

11103000332220 is a wasteful number, since it uses less digits than its factorization.

11103000332220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20085884 (or 20085879 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 11103000332220 its reverse (2223300030111), we get a palindrome (13326300362331).

The spelling of 11103000332220 in words is "eleven trillion, one hundred three billion, three hundred thirty-two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 45 60 74 83 90 111 148 166 180 185 222 249 332 333 370 415 444 498 555 666 740 747 830 996 1110 1245 1332 1494 1660 1665 2220 2490 2988 3071 3330 3735 4980 6142 6660 7470 9213 12284 14940 15355 18426 27639 30710 36852 46065 55278 61420 92130 110556 138195 184260 276390 552780 20085749 40171498 60257247 80342996 100428745 120514494 180771741 200857490 241028988 301286235 361543482 401714980 602572470 723086964 743172713 903858705 1205144940 1486345426 1667117167 1807717410 2229518139 2972690852 3334234334 3615434820 3715863565 4459036278 5001351501 6668468668 6688554417 7431727130 8335585835 8918072556 10002703002 11147590695 13377108834 14863454260 15004054503 16671171670 20005406004 22295181390 25006757505 26754217668 30008109006 33342343340 33442772085 44590362780 50013515010 60016218012 61683335179 66885544170 75020272515 100027030020 123366670358 133771088340 150040545030 185050005537 246733340716 300081090060 308416675895 370100011074 555150016611 616833351790 740200022148 925250027685 1110300033222 1233666703580 1850500055370 2220600066444 2775750083055 3701000110740 5551500166110 11103000332220