Base | Representation |
---|---|
bin | 101111100110101110… |
… | …0010111011111001000 |
3 | 100202212122200120011200 |
4 | 1133031130113133020 |
5 | 3133332114411240 |
6 | 114544141224200 |
7 | 10246244163342 |
oct | 1371534273710 |
9 | 322778616150 |
10 | 102231013320 |
11 | 3a3a0818467 |
12 | 17990b62060 |
13 | 9842aac377 |
14 | 4d3b492292 |
15 | 29d5030930 |
hex | 17cd7177c8 |
102231013320 has 192 divisors, whose sum is σ = 345908225520. Its totient is φ = 26161201152.
The previous prime is 102231013277. The next prime is 102231013327. The reversal of 102231013320 is 23310132201.
102231013320 is a `hidden beast` number, since 1 + 0 + 22 + 310 + 1 + 332 + 0 = 666.
It can be written as a sum of positive squares in 8 ways, for example, as 43219915236 + 59011098084 = 207894^2 + 242922^2 .
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 102231013293 and 102231013302.
It is not an unprimeable number, because it can be changed into a prime (102231013327) by changing a digit.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 919792 + ... + 1024928.
Almost surely, 2102231013320 is an apocalyptic number.
102231013320 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 102231013320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172954112760).
102231013320 is an abundant number, since it is smaller than the sum of its proper divisors (243677212200).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
102231013320 is a wasteful number, since it uses less digits than its factorization.
102231013320 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 105264 (or 105257 counting only the distinct ones).
The product of its (nonzero) digits is 216, while the sum is 18.
Adding to 102231013320 its reverse (23310132201), we get a palindrome (125541145521).
The spelling of 102231013320 in words is "one hundred two billion, two hundred thirty-one million, thirteen thousand, three hundred twenty".
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