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3003121321120 = 255172414581281
BaseRepresentation
bin101011101100110111111…
…110101100010010100000
3101122002120200120211002001
4223230313332230102200
5343200343024233440
610215340452133344
7426653101022464
oct53546776542240
911562520524061
103003121321120
11a58686770508
12406037307254
1318a2683b178b
14a54cd6804a4
15531b879eb9a
hex2bb37fac4a0

3003121321120 has 96 divisors (see below), whose sum is σ = 7543392340176. Its totient is φ = 1125895372800.

The previous prime is 3003121321091. The next prime is 3003121321147. The reversal of 3003121321120 is 211231213003.

It can be written as a sum of positive squares in 8 ways, for example, as 2881071706384 + 122049614736 = 1697372^2 + 349356^2 .

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1635121 + ... + 2946160.

Almost surely, 23003121321120 is an apocalyptic number.

It is an amenable number.

3003121321120 is an abundant number, since it is smaller than the sum of its proper divisors (4540271019056).

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

3003121321120 is a wasteful number, since it uses less digits than its factorization.

3003121321120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4581554 (or 4581546 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 3003121321120 its reverse (211231213003), we get a palindrome (3214352534123).

The spelling of 3003121321120 in words is "three trillion, three billion, one hundred twenty-one million, three hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 68 80 85 136 160 170 241 272 340 482 544 680 964 1205 1360 1928 2410 2720 3856 4097 4820 7712 8194 9640 16388 19280 20485 32776 38560 40970 65552 81940 131104 163880 327760 655520 4581281 9162562 18325124 22906405 36650248 45812810 73300496 77881777 91625620 146600992 155763554 183251240 311527108 366502480 389408885 623054216 733004960 778817770 1104088721 1246108432 1557635540 2208177442 2492216864 3115271080 4416354884 5520443605 6230542160 8832709768 11040887210 12461084320 17665419536 18769508257 22081774420 35330839072 37539016514 44163548840 75078033028 88327097680 93847541285 150156066056 176654195360 187695082570 300312132112 375390165140 600624264224 750780330280 1501560660560 3003121321120