Base | Representation |
---|---|
bin | 10010110110110001… |
… | …01001011001111100 |
3 | 222010111102220011120 |
4 | 21123120221121330 |
5 | 131213004403200 |
6 | 4352301350540 |
7 | 505601056044 |
oct | 113330513174 |
9 | 28114386146 |
10 | 10123122300 |
11 | 4325269685 |
12 | 1b66268450 |
13 | c543685c5 |
14 | 6c0652724 |
15 | 3e3acd9a0 |
hex | 25b62967c |
10123122300 has 144 divisors (see below), whose sum is σ = 30144737280. Its totient is φ = 2620995840.
The previous prime is 10123122257. The next prime is 10123122329. The reversal of 10123122300 is 322132101.
It is a Harshad number since it is a multiple of its sum of digits (15).
It is a self number, because there is not a number n which added to its sum of digits gives 10123122300.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9312357 + ... + 9313443.
Almost surely, 210123122300 is an apocalyptic number.
10123122300 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 10123122300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15072368640).
10123122300 is an abundant number, since it is smaller than the sum of its proper divisors (20021614980).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10123122300 is a wasteful number, since it uses less digits than its factorization.
10123122300 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1980 (or 1973 counting only the distinct ones).
The product of its (nonzero) digits is 72, while the sum is 15.
Adding to 10123122300 its reverse (322132101), we get a palindrome (10445254401).
The spelling of 10123122300 in words is "ten billion, one hundred twenty-three million, one hundred twenty-two thousand, three hundred".
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