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11330033021000 = 235364738214583
BaseRepresentation
bin1010010011011111101010…
…0101111111000001001000
31111010010210111000020201122
42210313322211333001020
52441112401423133000
640032540104334412
72246365531444661
oct244677245770110
944103714006648
1011330033021000
1136790492a3421
12132ba05174408
13642557409ab5
142b253b27a368
15149ac0816085
hexa4dfa97f048

11330033021000 has 128 divisors (see below), whose sum is σ = 26565999183360. Its totient is φ = 4522837216000.

The previous prime is 11330033020871. The next prime is 11330033021009. The reversal of 11330033021000 is 12033003311.

It is a self number, because there is not a number n which added to its sum of digits gives 11330033021000.

It is not an unprimeable number, because it can be changed into a prime (11330033021009) 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 31 ways as a sum of consecutive naturals, for example, 2472184709 + ... + 2472189291.

It is an arithmetic number, because the mean of its divisors is an integer number (207546868620).

Almost surely, 211330033021000 is an apocalyptic number.

11330033021000 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 11330033021000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13282999591680).

11330033021000 is an abundant number, since it is smaller than the sum of its proper divisors (15235966162360).

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

11330033021000 is a wasteful number, since it uses less digits than its factorization.

11330033021000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9072 (or 9058 counting only the distinct ones).

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

Adding to 11330033021000 its reverse (12033003311), we get a palindrome (11342066024311).

The spelling of 11330033021000 in words is "eleven trillion, three hundred thirty billion, thirty-three million, twenty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 647 1000 1294 2588 3235 3821 4583 5176 6470 7642 9166 12940 15284 16175 18332 19105 22915 25880 30568 32350 36664 38210 45830 64700 76420 80875 91660 95525 114575 129400 152840 161750 183320 191050 229150 323500 382100 458300 477625 572875 647000 764200 916600 955250 1145750 1910500 2291500 2472187 2965201 3821000 4583000 4944374 5930402 9888748 11860804 12360935 14826005 17511643 19777496 23721608 24721870 29652010 35023286 49443740 59304020 61804675 70046572 74130025 87558215 98887480 118608040 123609350 140093144 148260050 175116430 247218700 296520100 309023375 350232860 370650125 437791075 494437400 593040200 618046750 700465720 741300250 875582150 1236093500 1482600500 1751164300 2188955375 2472187000 2965201000 3502328600 4377910750 8755821500 11330033021 17511643000 22660066042 45320132084 56650165105 90640264168 113300330210 226600660420 283250825525 453201320840 566501651050 1133003302100 1416254127625 2266006604200 2832508255250 5665016510500 11330033021000