| Base | Representation |
|---|---|
| bin | 111101000010101… |
| … | …111111110111000 |
| 3 | 2122101002020121210 |
| 4 | 331002233332320 |
| 5 | 4044134143000 |
| 6 | 245342403120 |
| 7 | 34243653444 |
| oct | 7502577670 |
| 9 | 2571066553 |
| 10 | 1024131000 |
| 11 | 486105862 |
| 12 | 246b904a0 |
| 13 | 134238999 |
| 14 | 9a02d824 |
| 15 | 5ed9b350 |
| hex | 3d0affb8 |
1024131000 has 256 divisors, whose sum is σ = 3469340160. Its totient is φ = 250521600.
The previous prime is 1024130993. The next prime is 1024131001. The reversal of 1024131000 is 1314201.
It is a happy number.
It is a super-2 number, since 2×10241310002 = 2097688610322000000, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (12).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (1024131001) 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 63 ways as a sum of consecutive naturals, for example, 2192767 + ... + 2193233.
It is an arithmetic number, because the mean of its divisors is an integer number (13552110).
Almost surely, 21024131000 is an apocalyptic number.
1024131000 is a gapful number since it is divisible by the number (10) 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 1024131000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1734670080).
1024131000 is an abundant number, since it is smaller than the sum of its proper divisors (2445209160).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1024131000 is a wasteful number, since it uses less digits than its factorization.
1024131000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 551 (or 537 counting only the distinct ones).
The product of its (nonzero) digits is 24, while the sum is 12.
The square root of 1024131000 is about 32002.0468095402. The cubic root of 1024131000 is about 1007.9798197648.
Adding to 1024131000 its reverse (1314201), we get a palindrome (1025445201).
The spelling of 1024131000 in words is "one billion, twenty-four million, one hundred thirty-one thousand".
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