Base | Representation |
---|---|
bin | 10110100110001001… |
… | …00001000001010000 |
3 | 1011022102211021211010 |
4 | 23103010201001100 |
5 | 144321031022432 |
6 | 5323431450520 |
7 | 606422512350 |
oct | 132304410120 |
9 | 34272737733 |
10 | 12131110992 |
11 | 5165772270 |
12 | 2426826a40 |
13 | 11b437bbb0 |
14 | 8311cab60 |
15 | 4b001d3cc |
hex | 2d3121050 |
12131110992 has 320 divisors, whose sum is σ = 42777262080. Its totient is φ = 2860185600.
The previous prime is 12131110969. The next prime is 12131111021. The reversal of 12131110992 is 29901113121.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2928859 + ... + 2932997.
It is an arithmetic number, because the mean of its divisors is an integer number (133678944).
Almost surely, 212131110992 is an apocalyptic number.
12131110992 is a gapful number since it is divisible by the number (12) 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 12131110992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21388631040).
12131110992 is an abundant number, since it is smaller than the sum of its proper divisors (30646151088).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12131110992 is a wasteful number, since it uses less digits than its factorization.
12131110992 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 4242 (or 4236 counting only the distinct ones).
The product of its (nonzero) digits is 972, while the sum is 30.
It can be divided in two parts, 121 and 31110992, that added together give a palindrome (31111113).
The spelling of 12131110992 in words is "twelve billion, one hundred thirty-one million, one hundred ten thousand, nine hundred ninety-two".
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