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12330332100 = 22325213700369
BaseRepresentation
bin10110111101111000…
…11110111111000100
31011211022200202210200
423132330132333010
5200223031111400
65355305450500
7614362044042
oct133674367704
934738622720
1012330332100
115258173009
1224814a0a30
1312167227c8
1484d849392
154c2771b00
hex2def1efc4

12330332100 has 54 divisors (see below), whose sum is σ = 38648743770. Its totient is φ = 3288088320.

The previous prime is 12330332071. The next prime is 12330332129. The reversal of 12330332100 is 123303321.

12330332100 is a `hidden beast` number, since 1 + 2 + 330 + 332 + 1 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (12330332071) and next prime (12330332129).

It can be written as a sum of positive squares in 3 ways, for example, as 680583744 + 11649748356 = 26088^2 + 107934^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 6849285 + ... + 6851084.

Almost surely, 212330332100 is an apocalyptic number.

12330332100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12330332100 is an abundant number, since it is smaller than the sum of its proper divisors (26318411670).

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

12330332100 is a wasteful number, since it uses less digits than its factorization.

12330332100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13700389 (or 13700379 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 12330332100 its reverse (123303321), we get a palindrome (12453635421).

12330332100 divided by its reverse (123303321) gives a square (100 = 102).

It can be divided in two parts, 123303 and 32100, that added together give a triangular number (155403 = T557).

The spelling of 12330332100 in words is "twelve billion, three hundred thirty million, three hundred thirty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 13700369 27400738 41101107 54801476 68501845 82202214 123303321 137003690 164404428 205505535 246606642 274007380 342509225 411011070 493213284 616516605 685018450 822022140 1027527675 1233033210 1370036900 2055055350 2466066420 3082583025 4110110700 6165166050 12330332100