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12032103203131 = 1137263112406491
BaseRepresentation
bin1010111100010111000100…
…1111001100000100111011
31120121020221221220210110211
42233011301033030010323
53034113221410000011
641331245533051551
72351201506515634
oct257056117140473
946536857823424
1012032103203131
113919871644540
121423a9b026bb7
1369381272477b
142d84dd4a888b
1515ceb14e5b21
hexaf1713cc13b

12032103203131 has 16 divisors (see below), whose sum is σ = 13531943132928. Its totient is φ = 10602180136800.

The previous prime is 12032103203119. The next prime is 12032103203173. The reversal of 12032103203131 is 13130230123021.

It is a cyclic number.

It is not a de Polignac number, because 12032103203131 - 215 = 12032103170363 is a prime.

It is a super-2 number, since 2×120321032031312 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12032103203191) 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 15 ways as a sum of consecutive naturals, for example, 56096205 + ... + 56310286.

It is an arithmetic number, because the mean of its divisors is an integer number (845746445808).

Almost surely, 212032103203131 is an apocalyptic number.

12032103203131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12032103203131 is a deficient number, since it is larger than the sum of its proper divisors (1499839929797).

12032103203131 is a wasteful number, since it uses less digits than its factorization.

12032103203131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112406802.

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 12032103203131 its reverse (13130230123021), we get a palindrome (25162333326152).

The spelling of 12032103203131 in words is "twelve trillion, thirty-two billion, one hundred three million, two hundred three thousand, one hundred thirty-one".

Divisors: 1 11 37 263 407 2893 9731 107041 112406491 1236471401 4159040167 29562907133 45749441837 325191978463 1093827563921 12032103203131