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11331033203300 = 225217103563114941
BaseRepresentation
bin1010010011100011011000…
…1101011000001001100100
31111010020101012000202220112
42210320312031120021210
52441121424000001200
640033223233552152
72246432365035236
oct244706615301144
944106335022815
1011331033203300
113679511931168
121330044115658
136426866abc45
142b25d4034256
15149b2d531535
hexa4e36358264

11331033203300 has 144 divisors (see below), whose sum is σ = 26334400240512. Its totient is φ = 4216845158400.

The previous prime is 11331033203299. The next prime is 11331033203323. The reversal of 11331033203300 is 330233013311.

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, 98523830 + ... + 98638770.

It is an arithmetic number, because the mean of its divisors is an integer number (182877779448).

Almost surely, 211331033203300 is an apocalyptic number.

11331033203300 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 11331033203300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13167200120256).

11331033203300 is an abundant number, since it is smaller than the sum of its proper divisors (15003367037212).

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

11331033203300 is a wasteful number, since it uses less digits than its factorization.

11331033203300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115638 (or 115631 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 23.

Adding to 11331033203300 its reverse (330233013311), we get a palindrome (11661266216611).

The spelling of 11331033203300 in words is "eleven trillion, three hundred thirty-one billion, thirty-three million, two hundred three thousand, three hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 103 170 206 340 412 425 515 563 850 1030 1126 1700 1751 2060 2252 2575 2815 3502 5150 5630 7004 8755 9571 10300 11260 14075 17510 19142 28150 35020 38284 43775 47855 56300 57989 87550 95710 114941 115978 175100 191420 229882 231956 239275 289945 459764 478550 574705 579890 957100 985813 1149410 1159780 1449725 1953997 1971626 2298820 2873525 2899450 3907994 3943252 4929065 5747050 5798900 7815988 9769985 9858130 11494100 11838923 19539970 19716260 23677846 24645325 39079940 47355692 48849925 49290650 59194615 64711783 97699850 98581300 118389230 129423566 195399700 201261691 236778460 258847132 295973075 323558915 402523382 591946150 647117830 805046764 1006308455 1100100311 1183892300 1294235660 1617794575 2012616910 2200200622 3235589150 4025233820 4400401244 5031542275 5500501555 6471178300 6665313649 10063084550 11001003110 13330627298 20126169100 22002006220 26661254596 27502507775 33326568245 55005015550 66653136490 110010031100 113310332033 133306272980 166632841225 226620664066 333265682450 453241328132 566551660165 666531364900 1133103320330 2266206640660 2832758300825 5665516601650 11331033203300