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12123023100 = 2235240410077
BaseRepresentation
bin10110100101001011…
…01010011011111100
31011021212121101022120
423102211222123330
5144311443214400
65322542242540
7606263665446
oct132245523374
934255541276
1012123023100
115161148761
122423b86450
1311b27a9766
148300c3496
154ae471ca0
hex2d296a6fc

12123023100 has 36 divisors (see below), whose sum is σ = 35075947704. Its totient is φ = 3232806080.

The previous prime is 12123023023. The next prime is 12123023113. The reversal of 12123023100 is 132032121.

It is a super-2 number, since 2×121230231002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12123023100.

It is a congruent number.

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, 20204739 + ... + 20205338.

Almost surely, 212123023100 is an apocalyptic number.

12123023100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12123023100 is an abundant number, since it is smaller than the sum of its proper divisors (22952924604).

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

12123023100 is a wasteful number, since it uses less digits than its factorization.

12123023100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40410094 (or 40410087 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 12123023100 its reverse (132032121), we get a palindrome (12255055221).

The spelling of 12123023100 in words is "twelve billion, one hundred twenty-three million, twenty-three thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 40410077 80820154 121230231 161640308 202050385 242460462 404100770 484920924 606151155 808201540 1010251925 1212302310 2020503850 2424604620 3030755775 4041007700 6061511550 12123023100