Base | Representation |
---|---|
bin | 110000000101001101… |
… | …1100110001000000000 |
3 | 100212111222000220122222 |
4 | 1200022123212020000 |
5 | 3142431040040222 |
6 | 115233452150212 |
7 | 10313510254124 |
oct | 1401233461000 |
9 | 325458026588 |
10 | 103254221312 |
11 | 3a876352800 |
12 | 18017768368 |
13 | 9976a83b98 |
14 | 4dd7321584 |
15 | 2a44c98542 |
hex | 180a6e6200 |
103254221312 has 90 divisors (see below), whose sum is σ = 226942738407. Its totient is φ = 46897382400.
The previous prime is 103254221311. The next prime is 103254221383. The reversal of 103254221312 is 213122452301.
It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.
It can be written as a sum of positive squares in only one way, i.e., 51627110656 + 51627110656 = 227216^2 + 227216^2 .
It is an ABA number since it can be written as A⋅BA, here for A=2, B=227216.
It is a super-2 number, since 2×1032542213122 (a number of 23 digits) contains 22 as substring.
It is not an unprimeable number, because it can be changed into a prime (103254221311) by changing a digit.
It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 79979387 + ... + 79980677.
Almost surely, 2103254221312 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 103254221312
103254221312 is an abundant number, since it is smaller than the sum of its proper divisors (123688517095).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
103254221312 is an frugal number, since it uses more digits than its factorization.
103254221312 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2622 (or 1304 counting only the distinct ones).
The product of its (nonzero) digits is 2880, while the sum is 26.
Adding to 103254221312 its reverse (213122452301), we get a palindrome (316376673613).
The spelling of 103254221312 in words is "one hundred three billion, two hundred fifty-four million, two hundred twenty-one thousand, three hundred twelve".
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