| Base | Representation |
|---|---|
| bin | 11000100111110… |
| … | …110011111100000 |
| 3 | 1001210022122200000 |
| 4 | 120213312133200 |
| 5 | 1321223200000 |
| 6 | 104554100000 |
| 7 | 13144202115 |
| oct | 3047663740 |
| 9 | 1053278600 |
| 10 | 413100000 |
| 11 | 1a2203165 |
| 12 | b641a600 |
| 13 | 6777a191 |
| 14 | 3cc1490c |
| 15 | 26400000 |
| hex | 189f67e0 |
413100000 has 432 divisors, whose sum is σ = 1612303056. Its totient is φ = 103680000.
The previous prime is 413099993. The next prime is 413100007. The reversal of 413100000 is 1314.
It is an interprime number because it is at equal distance from previous prime (413099993) and next prime (413100007).
It is a tau number, because it is divible by the number of its divisors (432).
It is a super-2 number, since 2×4131000002 = 341303220000000000, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (9).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (413100007) by changing a digit.
It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 24299992 + ... + 24300008.
It is an arithmetic number, because the mean of its divisors is an integer number (3732183).
Almost surely, 2413100000 is an apocalyptic number.
413100000 is a gapful number since it is divisible by the number (40) 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 413100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (806151528).
413100000 is an abundant number, since it is smaller than the sum of its proper divisors (1199203056).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
413100000 is an frugal number, since it uses more digits than its factorization.
413100000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 67 (or 27 counting only the distinct ones).
The product of its (nonzero) digits is 12, while the sum is 9.
The square root of 413100000 is about 20324.8616231452. The cubic root of 413100000 is about 744.7635241837.
Adding to 413100000 its reverse (1314), we get a palindrome (413101314).
The spelling of 413100000 in words is "four hundred thirteen million, one hundred thousand".
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