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12003101123031 = 331721538267477
BaseRepresentation
bin1010111010101011000010…
…0101000010000111010111
31120111111002202101110212000
42232222300211002013113
53033124322341414111
641310052025530343
72346124015065354
oct256526045020727
946444082343760
1012003101123031
1139085397334a7
12141a3463439b3
13690b7001bb25
142d6d4b7c962b
1515c3652dbc56
hexaeab09421d7

12003101123031 has 24 divisors (see below), whose sum is σ = 18889924629840. Its totient is φ = 7531357562496.

The previous prime is 12003101123003. The next prime is 12003101123047. The reversal of 12003101123031 is 13032110130021.

12003101123031 is a `hidden beast` number, since 1 + 200 + 310 + 1 + 123 + 0 + 31 = 666.

It is not a de Polignac number, because 12003101123031 - 210 = 12003101122007 is a prime.

It is a super-2 number, since 2×120031011230312 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12003101122995 and 12003101123013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12003101123081) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 769125936 + ... + 769141541.

It is an arithmetic number, because the mean of its divisors is an integer number (787080192910).

Almost surely, 212003101123031 is an apocalyptic number.

12003101123031 is a deficient number, since it is larger than the sum of its proper divisors (6886823506809).

12003101123031 is a wasteful number, since it uses less digits than its factorization.

12003101123031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1538267520 (or 1538267497 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 12003101123031 its reverse (13032110130021), we get a palindrome (25035211253052).

The spelling of 12003101123031 in words is "twelve trillion, three billion, one hundred one million, one hundred twenty-three thousand, thirty-one".

Divisors: 1 3 9 17 27 51 153 289 459 867 2601 7803 1538267477 4614802431 13844407293 26150547109 41533221879 78451641327 235354923981 444559300853 706064771943 1333677902559 4001033707677 12003101123031