Base | Representation |
---|---|
bin | 111001110101101111… |
… | …1100011000010000000 |
3 | 102212121102000202210101 |
4 | 1303223133203002000 |
5 | 4013340230000000 |
6 | 133021123212144 |
7 | 11655016402612 |
oct | 1635337430200 |
9 | 385542022711 |
10 | 124210000000 |
11 | 4874a341469 |
12 | 200a5817054 |
13 | b936484928 |
14 | 6024522db2 |
15 | 336e8ace6a |
hex | 1ceb7e3080 |
124210000000 has 128 divisors (see below), whose sum is σ = 309336122160. Its totient is φ = 49680000000.
The previous prime is 124209999973. The next prime is 124210000027. The reversal of 124210000000 is 12421.
124210000000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is an interprime number because it is at equal distance from previous prime (124209999973) and next prime (124210000027).
It can be written as a sum of positive squares in 8 ways, for example, as 85577311296 + 38632688704 = 292536^2 + 196552^2 .
It is a tau number, because it is divible by the number of its divisors (128).
It is a Harshad number since it is a multiple of its sum of digits (10).
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9993790 + ... + 10006210.
Almost surely, 2124210000000 is an apocalyptic number.
124210000000 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 124210000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154668061080).
124210000000 is an abundant number, since it is smaller than the sum of its proper divisors (185126122160).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
124210000000 is an frugal number, since it uses more digits than its factorization.
124210000000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 12470 (or 12428 counting only the distinct ones).
The product of its (nonzero) digits is 16, while the sum is 10.
Adding to 124210000000 its reverse (12421), we get a palindrome (124210012421).
124210000000 divided by its reverse (12421) gives a 7-th power (10000000 = 107).
The spelling of 124210000000 in words is "one hundred twenty-four billion, two hundred ten million", and thus it is an aban number.
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