Search a number
-
+
12323131112100 = 22352319071287401
BaseRepresentation
bin1011001101010011001111…
…0110100011101010100100
31121122002011012021101010010
42303110303312203222210
53103400233031041400
642113100203130220
72411213451106434
oct263246366435244
947562135241103
1012323131112100
113a21235281a76
12147037b813970
136b50b27c5373
1430862abbc2c4
1516584618c450
hexb3533da3aa4

12323131112100 has 72 divisors (see below), whose sum is σ = 35656071177888. Its totient is φ = 3286062752000.

The previous prime is 12323131112099. The next prime is 12323131112113. The reversal of 12323131112100 is 121113132321.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8928400 + ... + 10215800.

It is an arithmetic number, because the mean of its divisors is an integer number (495223210804).

Almost surely, 212323131112100 is an apocalyptic number.

12323131112100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12323131112100 is an abundant number, since it is smaller than the sum of its proper divisors (23332940065788).

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

12323131112100 is a wasteful number, since it uses less digits than its factorization.

12323131112100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1319325 (or 1319318 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 12323131112100 its reverse (121113132321), we get a palindrome (12444244244421).

The spelling of 12323131112100 in words is "twelve trillion, three hundred twenty-three billion, one hundred thirty-one million, one hundred twelve thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 31907 63814 95721 127628 159535 191442 319070 382884 478605 638140 797675 957210 1287401 1595350 1914420 2393025 2574802 3190700 3862203 4786050 5149604 6437005 7724406 9572100 12874010 15448812 19311015 25748020 32185025 38622030 64370050 77244060 96555075 128740100 193110150 386220300 41077103707 82154207414 123231311121 164308414828 205385518535 246462622242 410771037070 492925244484 616156555605 821542074140 1026927592675 1232313111210 2053855185350 2464626222420 3080782778025 4107710370700 6161565556050 12323131112100