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12312031300 = 22523110139323
BaseRepresentation
bin10110111011101101…
…01011000001000100
31011210001020222211021
423131312223001010
5200203340000200
65353413320524
7614050352662
oct133566530104
934701228737
1012312031300
115248903388
122477336144
1312129b592a
1484b243c32
154c0d5941a
hex2dddab044

12312031300 has 72 divisors (see below), whose sum is σ = 27852717312. Its totient is φ = 4718640000.

The previous prime is 12312031297. The next prime is 12312031301. The reversal of 12312031300 is 313021321.

12312031300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×123120313002 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12312031301) 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 23 ways as a sum of consecutive naturals, for example, 293439 + ... + 332761.

It is an arithmetic number, because the mean of its divisors is an integer number (386843296).

Almost surely, 212312031300 is an apocalyptic number.

12312031300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12312031300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13926358656).

12312031300 is an abundant number, since it is smaller than the sum of its proper divisors (15540686012).

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

12312031300 is a wasteful number, since it uses less digits than its factorization.

12312031300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39469 (or 39462 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 12312031300 its reverse (313021321), we get a palindrome (12625052621).

The spelling of 12312031300 in words is "twelve billion, three hundred twelve million, thirty-one thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 31 50 62 100 101 124 155 202 310 404 505 620 775 1010 1550 2020 2525 3100 3131 5050 6262 10100 12524 15655 31310 39323 62620 78275 78646 156550 157292 196615 313100 393230 786460 983075 1219013 1966150 2438026 3932300 3971623 4876052 6095065 7943246 12190130 15886492 19858115 24380260 30475325 39716230 60950650 79432460 99290575 121901300 123120313 198581150 246240626 397162300 492481252 615601565 1231203130 2462406260 3078007825 6156015650 12312031300