Base | Representation |
---|---|
bin | 10010111001011010… |
… | …00100111100111000 |
3 | 222012001002100211111 |
4 | 21130231010330320 |
5 | 131234141131344 |
6 | 4354412010104 |
7 | 506260150366 |
oct | 113455047470 |
9 | 28161070744 |
10 | 10145255224 |
11 | 4336806455 |
12 | 1b71760934 |
13 | c58b17800 |
14 | 6c3574636 |
15 | 3e5a01834 |
hex | 25cb44f38 |
10145255224 has 96 divisors (see below), whose sum is σ = 21283851600. Its totient is φ = 4528742400.
The previous prime is 10145255179. The next prime is 10145255231. The reversal of 10145255224 is 42255254101.
10145255224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6336024 + ... + 6337624.
Almost surely, 210145255224 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 10145255224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10641925800).
10145255224 is an abundant number, since it is smaller than the sum of its proper divisors (11138596376).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10145255224 is a wasteful number, since it uses less digits than its factorization.
10145255224 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1785 (or 1768 counting only the distinct ones).
The product of its (nonzero) digits is 16000, while the sum is 31.
The spelling of 10145255224 in words is "ten billion, one hundred forty-five million, two hundred fifty-five thousand, two hundred twenty-four".
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