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12331331541045 = 3251162351399541
BaseRepresentation
bin1011001101110001110010…
…1000101101100000110101
31121122212022200211022211200
42303130130220231200311
53104014031333303140
642120534022523113
72411623614441516
oct263343450554065
947585280738750
1012331331541045
113a247631a5680
121471a89b96499
136b5abb712a9a
14308ba7d3aa0d
15165b76079030
hexb371ca2d835

12331331541045 has 48 divisors (see below), whose sum is σ = 23317859245824. Its totient is φ = 5978716560000.

The previous prime is 12331331540987. The next prime is 12331331541049. The reversal of 12331331541045 is 54014513313321.

12331331541045 is a `hidden beast` number, since 1 + 2 + 33 + 13 + 31 + 541 + 0 + 45 = 666.

12331331541045 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 12331331541045 - 211 = 12331331538997 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12331331541049) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30663975 + ... + 31063515.

It is an arithmetic number, because the mean of its divisors is an integer number (485788734288).

Almost surely, 212331331541045 is an apocalyptic number.

12331331541045 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12331331541045 is a deficient number, since it is larger than the sum of its proper divisors (10986527704779).

12331331541045 is a wasteful number, since it uses less digits than its factorization.

12331331541045 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 461914 (or 461911 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

Adding to 12331331541045 its reverse (54014513313321), we get a palindrome (66345844854366).

The spelling of 12331331541045 in words is "twelve trillion, three hundred thirty-one billion, three hundred thirty-one million, five hundred forty-one thousand, forty-five".

Divisors: 1 3 5 9 11 15 33 45 55 99 165 495 62351 187053 311755 399541 561159 685861 935265 1198623 1997705 2057583 2805795 3429305 3595869 4394951 5993115 6172749 10287915 13184853 17979345 21974755 30863745 39554559 65924265 197772795 24911780891 74735342673 124558904455 224206028019 274029589801 373676713365 822088769403 1121030140095 1370147949005 2466266308209 4110443847015 12331331541045