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12006131300 = 2252331362723
BaseRepresentation
bin10110010111001111…
…10000011001100100
31010222201122122220122
423023213300121210
5144042032200200
65303205021112
7603344301152
oct131347603144
933881578818
1012006131300
11510116a169
1223b09b4798
131194500507
1481c7763d2
154a4082385
hex2cb9f0664

12006131300 has 36 divisors (see below), whose sum is σ = 26132087856. Its totient is φ = 4787930400.

The previous prime is 12006131281. The next prime is 12006131303. The reversal of 12006131300 is 313160021.

12006131300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (12006131303) 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 11 ways as a sum of consecutive naturals, for example, 148262 + ... + 214461.

Almost surely, 212006131300 is an apocalyptic number.

12006131300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12006131300 is an abundant number, since it is smaller than the sum of its proper divisors (14125956556).

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

12006131300 is a wasteful number, since it uses less digits than its factorization.

12006131300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363068 (or 363061 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 12006131300 its reverse (313160021), we get a palindrome (12319291321).

The spelling of 12006131300 in words is "twelve billion, six million, one hundred thirty-one thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 331 662 1324 1655 3310 6620 8275 16550 33100 362723 725446 1450892 1813615 3627230 7254460 9068075 18136150 36272300 120061313 240122626 480245252 600306565 1200613130 2401226260 3001532825 6003065650 12006131300