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12330311300 = 2252413007393
BaseRepresentation
bin10110111101111000…
…11001111010000100
31011211022122201021022
423132330121322010
5200223024430200
65355305210312
7614361626306
oct133674317204
934738581238
1012330311300
11525815941a
122481490998
1312167161b8
1484d841976
154c276a885
hex2def19e84

12330311300 has 36 divisors (see below), whose sum is σ = 27409388916. Its totient is φ = 4811827200.

The previous prime is 12330311281. The next prime is 12330311363. The reversal of 12330311300 is 311303321.

It can be written as a sum of positive squares in 6 ways, for example, as 81577024 + 12248734276 = 9032^2 + 110674^2 .

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 1499597 + ... + 1507796.

Almost surely, 212330311300 is an apocalyptic number.

12330311300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12330311300 is an abundant number, since it is smaller than the sum of its proper divisors (15079077616).

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

12330311300 is a wasteful number, since it uses less digits than its factorization.

12330311300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3007448 (or 3007441 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 17.

Adding to 12330311300 its reverse (311303321), we get a palindrome (12641614621).

The spelling of 12330311300 in words is "twelve billion, three hundred thirty million, three hundred eleven thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 41 50 82 100 164 205 410 820 1025 2050 4100 3007393 6014786 12029572 15036965 30073930 60147860 75184825 123303113 150369650 246606226 300739300 493212452 616515565 1233031130 2466062260 3082577825 6165155650 12330311300