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11331030033120 = 253572481761481
BaseRepresentation
bin1010010011100011011000…
…0001010010001011100000
31111010020100222001201020110
42210320312001102023200
52441121422142024440
640033223042011320
72246432326062600
oct244706601221340
944106328051213
1011331030033120
113679510066386
121330043046b40
13642685b3bcb5
142b25d384ac00
15149b2d107080
hexa4e360522e0

11331030033120 has 144 divisors (see below), whose sum is σ = 41520131564688. Its totient is φ = 2589949716480.

The previous prime is 11331030033049. The next prime is 11331030033121. The reversal of 11331030033120 is 2133003013311.

It is a super-2 number, since 2×113310300331202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11331030033121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 240857221 + ... + 240904260.

It is an arithmetic number, because the mean of its divisors is an integer number (288334246977).

Almost surely, 211331030033120 is an apocalyptic number.

11331030033120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11331030033120 is an abundant number, since it is smaller than the sum of its proper divisors (30189101531568).

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

11331030033120 is a wasteful number, since it uses less digits than its factorization.

11331030033120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 481761513 (or 481761498 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 21.

Adding to 11331030033120 its reverse (2133003013311), we get a palindrome (13464033046431).

The spelling of 11331030033120 in words is "eleven trillion, three hundred thirty-one billion, thirty million, thirty-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 49 56 60 70 80 84 96 98 105 112 120 140 147 160 168 196 210 224 240 245 280 294 336 392 420 480 490 560 588 672 735 784 840 980 1120 1176 1470 1568 1680 1960 2352 2940 3360 3920 4704 5880 7840 11760 23520 481761481 963522962 1445284443 1927045924 2408807405 2890568886 3372330367 3854091848 4817614810 5781137772 6744660734 7226422215 7708183696 9635229620 10116991101 11562275544 13489321468 14452844430 15416367392 16861651835 19270459240 20233982202 23124551088 23606312569 26978642936 28905688860 33723303670 38540918480 40467964404 46249102176 47212625138 50584955505 53957285872 57811377720 67446607340 70818937707 77081836960 80935928808 94425250276 101169911010 107914571744 115622755440 118031562845 134893214680 141637875414 161871857616 188850500552 202339822020 231245510880 236063125690 269786429360 283275750828 323743715232 354094688535 377701001104 404679644040 472126251380 539572858720 566551501656 708189377070 755402002208 809359288080 944252502760 1133103003312 1416378754140 1618718576160 1888505005520 2266206006624 2832757508280 3777010011040 5665515016560 11331030033120