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12011032130331 = 3136148973103093
BaseRepresentation
bin1010111011001000100101…
…0011011011001100011011
31120112020120110222101120010
42232302021103123030123
53033242043211132311
641313443022533003
72346524400405543
oct256621123331433
946466513871503
1012011032130331
113910939568693
12141b99a437163
13691835186a60
142d74a0c54323
1515c67b709da6
hexaec894db31b

12011032130331 has 32 divisors (see below), whose sum is σ = 17529869530432. Its totient is φ = 7270014850560.

The previous prime is 12011032130323. The next prime is 12011032130347. The reversal of 12011032130331 is 13303123011021.

It is a happy number.

It is not a de Polignac number, because 12011032130331 - 23 = 12011032130323 is a prime.

It is a super-2 number, since 2×120110321303312 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12011032130298 and 12011032130307.

It is not an unprimeable number, because it can be changed into a prime (12011032130381) 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 31 ways as a sum of consecutive naturals, for example, 116455221 + ... + 116558313.

It is an arithmetic number, because the mean of its divisors is an integer number (547808422826).

Almost surely, 212011032130331 is an apocalyptic number.

12011032130331 is a deficient number, since it is larger than the sum of its proper divisors (5518837400101).

12011032130331 is a wasteful number, since it uses less digits than its factorization.

12011032130331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152143.

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 12011032130331 its reverse (13303123011021), we get a palindrome (25314155141352).

The spelling of 12011032130331 in words is "twelve trillion, eleven billion, thirty-two million, one hundred thirty thousand, three hundred thirty-one".

Divisors: 1 3 13 39 61 183 793 2379 48973 103093 146919 309279 636649 1340209 1909947 2987353 4020627 6288673 8962059 18866019 38835589 81752749 116506767 245258247 5048773489 15146320467 65634055357 196902166071 307975182829 923925548487 4003677376777 12011032130331