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12031331311032 = 2331145573224663
BaseRepresentation
bin1010111100010100001100…
…1110101001110110111000
31120121011222011110121120120
42233011003032221312320
53034110131303423112
641331041200453240
72351143414530435
oct257050316516670
946534864417516
1012031331311032
113919505961590
12142390461a220
1369371b833597
142d8468b78b8c
1515ce68871e8c
hexaf1433a9db8

12031331311032 has 32 divisors (see below), whose sum is σ = 32812721758080. Its totient is φ = 3645857972960.

The previous prime is 12031331311031. The next prime is 12031331311093. The reversal of 12031331311032 is 23011313313021.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 12031331310993 and 12031331311011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12031331311031) 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 7 ways as a sum of consecutive naturals, for example, 22786612068 + ... + 22786612595.

It is an arithmetic number, because the mean of its divisors is an integer number (1025397554940).

Almost surely, 212031331311032 is an apocalyptic number.

12031331311032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12031331311032 is an abundant number, since it is smaller than the sum of its proper divisors (20781390447048).

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

12031331311032 is a wasteful number, since it uses less digits than its factorization.

12031331311032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45573224683 (or 45573224679 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 12031331311032 its reverse (23011313313021), we get a palindrome (35042644624053).

The spelling of 12031331311032 in words is "twelve trillion, thirty-one billion, three hundred thirty-one million, three hundred eleven thousand, thirty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 45573224663 91146449326 136719673989 182292898652 273439347978 364585797304 501305471293 546878695956 1002610942586 1093757391912 1503916413879 2005221885172 3007832827758 4010443770344 6015665655516 12031331311032