Base | Representation |
---|---|
bin | 111100111111101… |
… | …111001000101100 |
3 | 2122022121010002020 |
4 | 330333233020230 |
5 | 4043433403400 |
6 | 245313430140 |
7 | 34234153515 |
oct | 7477571054 |
9 | 2568533066 |
10 | 1023341100 |
11 | 485716351 |
12 | 24686b350 |
13 | 1340202a2 |
14 | 99ca5a0c |
15 | 5ec922a0 |
hex | 3cfef22c |
1023341100 has 36 divisors (see below), whose sum is σ = 2960867784. Its totient is φ = 272890880.
The previous prime is 1023341087. The next prime is 1023341101. The reversal of 1023341100 is 11433201.
It is a super-3 number, since 3×10233411003 (a number of 28 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (15).
It is a self number, because there is not a number n which added to its sum of digits gives 1023341100.
It is not an unprimeable number, because it can be changed into a prime (1023341101) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1705269 + ... + 1705868.
Almost surely, 21023341100 is an apocalyptic number.
1023341100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is an amenable number.
1023341100 is an abundant number, since it is smaller than the sum of its proper divisors (1937526684).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1023341100 is a wasteful number, since it uses less digits than its factorization.
1023341100 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3411154 (or 3411147 counting only the distinct ones).
The product of its (nonzero) digits is 72, while the sum is 15.
The square root of 1023341100 is about 31989.7030308192. The cubic root of 1023341100 is about 1007.7206055145.
Adding to 1023341100 its reverse (11433201), we get a palindrome (1034774301).
The spelling of 1023341100 in words is "one billion, twenty-three million, three hundred forty-one thousand, one hundred".
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