Base | Representation |
---|---|
bin | 10011000011100001… |
… | …00100010110100000 |
3 | 222101221122201010000 |
4 | 21201300210112200 |
5 | 131422343300402 |
6 | 4411041340000 |
7 | 511340021115 |
oct | 114160442640 |
9 | 28357581100 |
10 | 10230056352 |
11 | 437a66682a |
12 | 1b96037600 |
13 | c705692a9 |
14 | 6d092a90c |
15 | 3ed1a2c1c |
hex | 261c245a0 |
10230056352 has 120 divisors (see below), whose sum is σ = 30363171300. Its totient is φ = 3378640896.
The previous prime is 10230056351. The next prime is 10230056359. The reversal of 10230056352 is 25365003201.
10230056352 is a `hidden beast` number, since 1 + 0 + 2 + 300 + 5 + 6 + 352 = 666.
It can be written as a sum of positive squares in 2 ways, for example, as 10167898896 + 62157456 = 100836^2 + 7884^2 .
It is a Harshad number since it is a multiple of its sum of digits (27).
It is not an unprimeable number, because it can be changed into a prime (10230056351) by changing a digit.
It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 264424 + ... + 300632.
Almost surely, 210230056352 is an apocalyptic number.
10230056352 is a gapful number since it is divisible by the number (12) 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 10230056352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15181585650).
10230056352 is an abundant number, since it is smaller than the sum of its proper divisors (20133114948).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10230056352 is a wasteful number, since it uses less digits than its factorization.
10230056352 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 36340 (or 36323 counting only the distinct ones).
The product of its (nonzero) digits is 5400, while the sum is 27.
Adding to 10230056352 its reverse (25365003201), we get a palindrome (35595059553).
The spelling of 10230056352 in words is "ten billion, two hundred thirty million, fifty-six thousand, three hundred fifty-two".
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