Base | Representation |
---|---|
bin | 10010101001100100… |
… | …11001100000011010 |
3 | 221211210011021012000 |
4 | 21110302121200122 |
5 | 131001140314120 |
6 | 4333305101430 |
7 | 503055162021 |
oct | 112462314032 |
9 | 27753137160 |
10 | 10012432410 |
11 | 4278836732 |
12 | 1b35187876 |
13 | c37451226 |
14 | 6ada7b8b8 |
15 | 3d9016990 |
hex | 254c9981a |
10012432410 has 128 divisors (see below), whose sum is σ = 27764985600. Its totient is φ = 2564432640.
The previous prime is 10012432403. The next prime is 10012432411. The reversal of 10012432410 is 1423421001.
10012432410 is a `hidden beast` number, since 10 + 0 + 1 + 243 + 2 + 410 = 666.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is not an unprimeable number, because it can be changed into a prime (10012432411) by changing a digit.
It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1539265 + ... + 1545755.
It is an arithmetic number, because the mean of its divisors is an integer number (216913950).
Almost surely, 210012432410 is an apocalyptic number.
10012432410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is a practical number, because each smaller number is the sum of distinct divisors of 10012432410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13882492800).
10012432410 is an abundant number, since it is smaller than the sum of its proper divisors (17752553190).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10012432410 is a wasteful number, since it uses less digits than its factorization.
10012432410 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 6733 (or 6727 counting only the distinct ones).
The product of its (nonzero) digits is 192, while the sum is 18.
Adding to 10012432410 its reverse (1423421001), we get a palindrome (11435853411).
The spelling of 10012432410 in words is "ten billion, twelve million, four hundred thirty-two thousand, four hundred ten".
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