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12001314143 = 7131812812593
BaseRepresentation
bin10110010110101010…
…11000010101011111
31010222101120221000102
423023111120111133
5144034314023033
65302513451315
7603255326030
oct131325302537
933871527012
1012001314143
1150a9479a45
1223ab270b3b
131193504a20
1481bc80a87
154a392ede8
hex2cb55855f

12001314143 has 32 divisors (see below), whose sum is σ = 14911059072. Its totient is φ = 9405849600.

The previous prime is 12001314133. The next prime is 12001314163. The reversal of 12001314143 is 34141310021.

It is not a de Polignac number, because 12001314143 - 210 = 12001313119 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12001314133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4627055 + ... + 4629647.

It is an arithmetic number, because the mean of its divisors is an integer number (465970596).

Almost surely, 212001314143 is an apocalyptic number.

12001314143 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

12001314143 is a deficient number, since it is larger than the sum of its proper divisors (2909744929).

12001314143 is a wasteful number, since it uses less digits than its factorization.

12001314143 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3075.

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 12001314143 its reverse (34141310021), we get a palindrome (46142624164).

The spelling of 12001314143 in words is "twelve billion, one million, three hundred fourteen thousand, one hundred forty-three".

Divisors: 1 7 13 91 181 281 1267 1967 2353 2593 3653 16471 18151 25571 33709 50861 235963 356027 469333 661193 728633 3285331 4628351 5100431 6101329 9472229 42709303 66305603 131882573 923178011 1714473449 12001314143