Base | Representation |
---|---|
bin | 111110111100101… |
… | …101001100001010 |
3 | 2201121020111101200 |
4 | 332330231030022 |
5 | 4130330214010 |
6 | 252443525030 |
7 | 35112466020 |
oct | 7674551412 |
9 | 2647214350 |
10 | 1056101130 |
11 | 4a2161457 |
12 | 255829776 |
13 | 13aa50616 |
14 | a0392710 |
15 | 62ab3cc0 |
hex | 3ef2d30a |
1056101130 has 192 divisors, whose sum is σ = 3346237440. Its totient is φ = 225721728.
The previous prime is 1056101119. The next prime is 1056101131. The reversal of 1056101130 is 311016501.
1056101130 is a `hidden beast` number, since 10 + 5 + 610 + 11 + 30 = 666.
It is a super-2 number, since 2×10561011302 = 2230699193574553800, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is not an unprimeable number, because it can be changed into a prime (1056101131) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 992979 + ... + 994041.
It is an arithmetic number, because the mean of its divisors is an integer number (17428320).
Almost surely, 21056101130 is an apocalyptic number.
1056101130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is a practical number, because each smaller number is the sum of distinct divisors of 1056101130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1673118720).
1056101130 is an abundant number, since it is smaller than the sum of its proper divisors (2290136310).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1056101130 is a wasteful number, since it uses less digits than its factorization.
1056101130 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1185 (or 1182 counting only the distinct ones).
The product of its (nonzero) digits is 90, while the sum is 18.
The square root of 1056101130 is about 32497.7096116019. The cubic root of 1056101130 is about 1018.3611803370.
Adding to 1056101130 its reverse (311016501), we get a palindrome (1367117631).
The spelling of 1056101130 in words is "one billion, fifty-six million, one hundred one thousand, one hundred thirty".
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