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12131233110 = 23558956093
BaseRepresentation
bin10110100110001001…
…11110110101010110
31011022110001111100000
423103010332311112
5144321043424420
65323434232130
7606423531363
oct132304766526
934273044300
1012131233110
115165845a97
122426885646
1311b43c2659
1483121d46a
154b0044690
hex2d313ed56

12131233110 has 96 divisors (see below), whose sum is σ = 33077509920. Its totient is φ = 3198590208.

The previous prime is 12131233073. The next prime is 12131233129. The reversal of 12131233110 is 1133213121.

12131233110 is a `hidden beast` number, since 1 + 21 + 312 + 331 + 1 + 0 = 666.

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

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 47 ways as a sum of consecutive naturals, for example, 188224 + ... + 244316.

It is an arithmetic number, because the mean of its divisors is an integer number (344557395).

Almost surely, 212131233110 is an apocalyptic number.

12131233110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12131233110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16538754960).

12131233110 is an abundant number, since it is smaller than the sum of its proper divisors (20946276810).

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

12131233110 is an equidigital number, since it uses as much as digits as its factorization.

12131233110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56204 (or 56192 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 12131233110 its reverse (1133213121), we get a palindrome (13264446231).

The spelling of 12131233110 in words is "twelve billion, one hundred thirty-one million, two hundred thirty-three thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 89 90 135 162 178 243 267 270 405 445 486 534 801 810 890 1215 1335 1602 2403 2430 2670 4005 4806 7209 8010 12015 14418 21627 24030 36045 43254 56093 72090 108135 112186 168279 216270 280465 336558 504837 560930 841395 1009674 1514511 1682790 2524185 3029022 4543533 4992277 5048370 7572555 9087066 9984554 13630599 14976831 15145110 22717665 24961385 27261198 29953662 44930493 45435330 49922770 68152995 74884155 89860986 134791479 136305990 149768310 224652465 269582958 404374437 449304930 673957395 808748874 1213123311 1347914790 2021872185 2426246622 4043744370 6065616555 12131233110