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12331123100 = 2252415356747
BaseRepresentation
bin10110111101111111…
…00000000110011100
31011211101011221211222
423132333200012130
5200223231414400
65355334432512
7614401550132
oct133677400634
934741157758
1012331123100
11525866332a
122481802738
13121693b85a
1484d9b3752
154c287b185
hex2defe019c

12331123100 has 72 divisors (see below), whose sum is σ = 27928868688. Its totient is φ = 4721267200.

The previous prime is 12331123067. The next prime is 12331123183. The reversal of 12331123100 is 132113321.

It is a super-2 number, since 2×123311231002 (a number of 21 digits) contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 188927 + ... + 245673.

It is an arithmetic number, because the mean of its divisors is an integer number (387900954).

Almost surely, 212331123100 is an apocalyptic number.

12331123100 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 12331123100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13964434344).

12331123100 is an abundant number, since it is smaller than the sum of its proper divisors (15597745588).

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

12331123100 is a wasteful number, since it uses less digits than its factorization.

12331123100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56855 (or 56848 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 12331123100 its reverse (132113321), we get a palindrome (12463236421).

The spelling of 12331123100 in words is "twelve billion, three hundred thirty-one million, one hundred twenty-three thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 41 50 53 82 100 106 164 205 212 265 410 530 820 1025 1060 1325 2050 2173 2650 4100 4346 5300 8692 10865 21730 43460 54325 56747 108650 113494 217300 226988 283735 567470 1134940 1418675 2326627 2837350 3007591 4653254 5674700 6015182 9306508 11633135 12030364 15037955 23266270 30075910 46532540 58165675 60151820 75189775 116331350 123311231 150379550 232662700 246622462 300759100 493244924 616556155 1233112310 2466224620 3082780775 6165561550 12331123100