Base | Representation |
---|---|
bin | 111001010101111010… |
… | …1011101000101010100 |
3 | 102202211222101210120010 |
4 | 1302223311131011110 |
5 | 4004143323012410 |
6 | 132323132240220 |
7 | 11616400511055 |
oct | 1625365350524 |
9 | 382758353503 |
10 | 123142000980 |
11 | 482514a3a49 |
12 | 1ba48010070 |
13 | b7c612994b |
14 | 5d6275472c |
15 | 330ac48c20 |
hex | 1cabd5d154 |
123142000980 has 96 divisors (see below), whose sum is σ = 349890202368. Its totient is φ = 32353484800.
The previous prime is 123142000979. The next prime is 123142000987. The reversal of 123142000980 is 89000241321.
It is a Harshad number since it is a multiple of its sum of digits (30).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (123142000987) by changing a digit.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6862420 + ... + 6880340.
It is an arithmetic number, because the mean of its divisors is an integer number (3644689608).
Almost surely, 2123142000980 is an apocalyptic number.
123142000980 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 123142000980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174945101184).
123142000980 is an abundant number, since it is smaller than the sum of its proper divisors (226748201388).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
123142000980 is a wasteful number, since it uses less digits than its factorization.
123142000980 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 19617 (or 19615 counting only the distinct ones).
The product of its (nonzero) digits is 3456, while the sum is 30.
The spelling of 123142000980 in words is "one hundred twenty-three billion, one hundred forty-two million, nine hundred eighty", and thus it is an aban number.
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