Base | Representation |
---|---|
bin | 111100011001001… |
… | …101001001011100 |
3 | 2121121120221112200 |
4 | 330121031021130 |
5 | 4033342143122 |
6 | 244313131500 |
7 | 34052254452 |
oct | 7431151134 |
9 | 2547527480 |
10 | 1013240412 |
11 | 47aa47578 |
12 | 2433b9b90 |
13 | 131bc4952 |
14 | 987d69d2 |
15 | 5de495ac |
hex | 3c64d25c |
1013240412 has 72 divisors (see below), whose sum is σ = 2664043200. Its totient is φ = 324425088.
The previous prime is 1013240411. The next prime is 1013240441. The reversal of 1013240412 is 2140423101.
1013240412 is a `hidden beast` number, since 1 + 0 + 13 + 240 + 412 = 666.
1013240412 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a super-2 number, since 2×10132404122 = 2053312265019859488, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (1013240411) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 100414 + ... + 110042.
It is an arithmetic number, because the mean of its divisors is an integer number (37000600).
Almost surely, 21013240412 is an apocalyptic number.
1013240412 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 1013240412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1332021600).
1013240412 is an abundant number, since it is smaller than the sum of its proper divisors (1650802788).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1013240412 is a wasteful number, since it uses less digits than its factorization.
1013240412 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 9755 (or 9750 counting only the distinct ones).
The product of its (nonzero) digits is 192, while the sum is 18.
The square root of 1013240412 is about 31831.4374793222. The cubic root of 1013240412 is about 1004.3941339721.
Adding to 1013240412 its reverse (2140423101), we get a palindrome (3153663513).
The spelling of 1013240412 in words is "one billion, thirteen million, two hundred forty thousand, four hundred twelve".
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