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12330301000 = 235312330301
BaseRepresentation
bin10110111101111000…
…10111011001001000
31011211022122012010211
423132330113121020
5200223024113000
65355305050504
7614361554263
oct133674273110
934738565124
1012330301000
115258151706
122481486a34
1312167115c4
1484d83bcda
154c27677ba
hex2def17648

12330301000 has 32 divisors (see below), whose sum is σ = 28852906680. Its totient is φ = 4932120000.

The previous prime is 12330300973. The next prime is 12330301001. The reversal of 12330301000 is 10303321.

It can be written as a sum of positive squares in 4 ways, for example, as 7999871364 + 4330429636 = 89442^2 + 65806^2 .

It is not an unprimeable number, because it can be changed into a prime (12330301001) 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 7 ways as a sum of consecutive naturals, for example, 6164151 + ... + 6166150.

Almost surely, 212330301000 is an apocalyptic number.

12330301000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12330301000 is an abundant number, since it is smaller than the sum of its proper divisors (16522605680).

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

12330301000 is a wasteful number, since it uses less digits than its factorization.

12330301000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12330322 (or 12330308 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 13.

Adding to 12330301000 its reverse (10303321), we get a palindrome (12340604321).

The spelling of 12330301000 in words is "twelve billion, three hundred thirty million, three hundred one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 12330301 24660602 49321204 61651505 98642408 123303010 246606020 308257525 493212040 616515050 1233030100 1541287625 2466060200 3082575250 6165150500 12330301000