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12310010131100 = 22521123834696147
BaseRepresentation
bin1011001100100010010111…
…0001111111001010011100
31121120211021202211110220212
42303020211301333022130
53103141400043143400
642103050211031552
72410240345443503
oct263104561771234
947524252743825
1012310010131100
113a16711885820
12146991959b5b8
136b3aa1345096
14307b4435d83a
151653292de335
hexb3225c7f29c

12310010131100 has 72 divisors (see below), whose sum is σ = 29153386230528. Its totient is φ = 4474487908800.

The previous prime is 12310010131073. The next prime is 12310010131123. The reversal of 12310010131100 is 113101001321.

It is a happy number.

It is a congruent number.

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, 273227 + ... + 4969373.

Almost surely, 212310010131100 is an apocalyptic number.

12310010131100 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 12310010131100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14576693115264).

12310010131100 is an abundant number, since it is smaller than the sum of its proper divisors (16843376099428).

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

12310010131100 is a wasteful number, since it uses less digits than its factorization.

12310010131100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4698555 (or 4698548 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 14.

Adding to 12310010131100 its reverse (113101001321), we get a palindrome (12423111132421).

The spelling of 12310010131100 in words is "twelve trillion, three hundred ten billion, ten million, one hundred thirty-one thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 1100 2383 4766 9532 11915 23830 26213 47660 52426 59575 104852 119150 131065 238300 262130 524260 655325 1310650 2621300 4696147 9392294 18784588 23480735 46961470 51657617 93922940 103315234 117403675 206630468 234807350 258288085 469614700 516576170 1033152340 1291440425 2582880850 5165761700 11190918301 22381836602 44763673204 55954591505 111909183010 123100101311 223818366020 246200202622 279772957525 492400405244 559545915050 615500506555 1119091830100 1231001013110 2462002026220 3077502532775 6155005065550 12310010131100