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11203300031300 = 22521317506936653
BaseRepresentation
bin1010001100000111100010…
…1101111111101101000100
31110200000200020112022201022
42203001320231333231010
52432023324302000200
635454420332450312
72234261135012666
oct243017055775504
943600606468638
1011203300031300
11362a324886503
12130b336619998
1363360b336870
142aa357a40536
151466546da885
hexa3078b7fb44

11203300031300 has 72 divisors (see below), whose sum is σ = 27721323987336. Its totient is φ = 3893273487360.

The previous prime is 11203300031263. The next prime is 11203300031309. The reversal of 11203300031300 is 313000330211.

It can be written as a sum of positive squares in 12 ways, for example, as 7623242484484 + 3580057546816 = 2761022^2 + 1892104^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

It is not an unprimeable number, because it can be changed into a prime (11203300031309) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 253446227 + ... + 253490426.

It is an arithmetic number, because the mean of its divisors is an integer number (385018388713).

Almost surely, 211203300031300 is an apocalyptic number.

11203300031300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11203300031300 is an abundant number, since it is smaller than the sum of its proper divisors (16518023956036).

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

11203300031300 is a wasteful number, since it uses less digits than its factorization.

11203300031300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506936697 (or 506936690 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 17.

Adding to 11203300031300 its reverse (313000330211), we get a palindrome (11516300361511).

The spelling of 11203300031300 in words is "eleven trillion, two hundred three billion, three hundred million, thirty-one thousand, three hundred".

Divisors: 1 2 4 5 10 13 17 20 25 26 34 50 52 65 68 85 100 130 170 221 260 325 340 425 442 650 850 884 1105 1300 1700 2210 4420 5525 11050 22100 506936653 1013873306 2027746612 2534683265 5069366530 6590176489 8617923101 10138733060 12673416325 13180352978 17235846202 25346832650 26360705956 32950882445 34471692404 43089615505 50693665300 65901764890 86179231010 112033000313 131803529780 164754412225 172358462020 215448077525 224066000626 329508824450 430896155050 448132001252 560165001565 659017648900 861792310100 1120330003130 2240660006260 2800825007825 5601650015650 11203300031300