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12091232831 = 472113793217
BaseRepresentation
bin10110100001011000…
…11001001000111111
31011012122210021021012
423100230121020333
5144230323422311
65315445025435
7605426532446
oct132054311077
934178707235
1012091232831
115145205207
1224153b527b
1311a9028952
14829ba9d5d
154ab79278b
hex2d0b1923f

12091232831 has 16 divisors (see below), whose sum is σ = 12443619840. Its totient is φ = 11743159680.

The previous prime is 12091232819. The next prime is 12091232833. The reversal of 12091232831 is 13823219021.

12091232831 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 12091232831 - 210 = 12091231807 is a prime.

It is a super-3 number, since 3×120912328313 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12091232833) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3756935 + ... + 3760151.

It is an arithmetic number, because the mean of its divisors is an integer number (777726240).

Almost surely, 212091232831 is an apocalyptic number.

12091232831 is a deficient number, since it is larger than the sum of its proper divisors (352387009).

12091232831 is a wasteful number, since it uses less digits than its factorization.

12091232831 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3854.

The product of its (nonzero) digits is 5184, while the sum is 32.

The spelling of 12091232831 in words is "twelve billion, ninety-one million, two hundred thirty-two thousand, eight hundred thirty-one".

Divisors: 1 47 211 379 3217 9917 17813 79969 151199 678787 1219243 3758543 31902989 57304421 257260273 12091232831