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12002023131021 = 3371149037117727
BaseRepresentation
bin1010111010100111000001…
…0100110100011110001101
31120111101022121221210211000
42232221300110310132031
53033120120410143041
641305353040450513
72346055215233460
oct256516024643615
946441277853730
1012002023131021
113908036190110
12141a0a5319a39
13690a2a8a5531
142d6c885792d7
1515c300851bb6
hexaea7053478d

12002023131021 has 64 divisors (see below), whose sum is σ = 22168879349760. Its totient is φ = 6234637106880.

The previous prime is 12002023131001. The next prime is 12002023131029. The reversal of 12002023131021 is 12013132020021.

12002023131021 is a `hidden beast` number, since 120 + 0 + 2 + 0 + 231 + 310 + 2 + 1 = 666.

12002023131021 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12002023131021 - 27 = 12002023130893 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12002023130985 and 12002023131003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12002023131029) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 101889060 + ... + 102006786.

It is an arithmetic number, because the mean of its divisors is an integer number (346388739840).

Almost surely, 212002023131021 is an apocalyptic number.

12002023131021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12002023131021 is a deficient number, since it is larger than the sum of its proper divisors (10166856218739).

12002023131021 is a wasteful number, since it uses less digits than its factorization.

12002023131021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166791 (or 166785 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 12002023131021 its reverse (12013132020021), we get a palindrome (24015155151042).

The spelling of 12002023131021 in words is "twelve trillion, two billion, twenty-three million, one hundred thirty-one thousand, twenty-one".

Divisors: 1 3 7 9 11 21 27 33 63 77 99 189 231 297 693 2079 49037 117727 147111 343259 353181 441333 539407 824089 1029777 1059543 1294997 1323999 1618221 2472267 3089331 3178629 3775849 3884991 4854663 7416801 9064979 9267993 11327547 11654973 14563989 22250403 27194937 33982641 34964919 81584811 101947923 244754433 5772978899 17318936697 40410852293 51956810091 63502767889 121232556879 155870430273 190508303667 363697670637 444519375223 571524911001 1091093011911 1333558125669 1714574733003 4000674377007 12002023131021