Base | Representation |
---|---|
bin | 101111111101111110… |
… | …0010010001100111110 |
3 | 100211220000121201010100 |
4 | 1133323330102030332 |
5 | 3141431322212342 |
6 | 115153410021530 |
7 | 10304466114435 |
oct | 1377374221476 |
9 | 324800551110 |
10 | 103011132222 |
11 | 3a76110a329 |
12 | 17b6a2778a6 |
13 | 99385c0c9b |
14 | 4db2d2411c |
15 | 2a2d77be4c |
hex | 17fbf1233e |
103011132222 has 96 divisors (see below), whose sum is σ = 248952337920. Its totient is φ = 30592339200.
The previous prime is 103011132221. The next prime is 103011132229. The reversal of 103011132222 is 222231110301.
103011132222 is a `hidden beast` number, since 10 + 301 + 1 + 132 + 222 = 666.
It is a super-2 number, since 2×1030111322222 (a number of 23 digits) contains 22 as substring.
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 = 103011132195 and 103011132204.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (103011132221) 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, 8267097 + ... + 8279547.
It is an arithmetic number, because the mean of its divisors is an integer number (2593253520).
Almost surely, 2103011132222 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 103011132222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124476168960).
103011132222 is an abundant number, since it is smaller than the sum of its proper divisors (145941205698).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
103011132222 is a wasteful number, since it uses less digits than its factorization.
103011132222 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 13918 (or 13915 counting only the distinct ones).
The product of its (nonzero) digits is 144, while the sum is 18.
Adding to 103011132222 its reverse (222231110301), we get a palindrome (325242242523).
The spelling of 103011132222 in words is "one hundred three billion, eleven million, one hundred thirty-two thousand, two hundred twenty-two".
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