Base | Representation |
---|---|
bin | 10011010000101… |
… | …001101011000100 |
3 | 211112000210220120 |
4 | 103100221223010 |
5 | 1130210211400 |
6 | 52021501540 |
7 | 11002402044 |
oct | 2320515304 |
9 | 745023816 |
10 | 323132100 |
11 | 156443a25 |
12 | 902718b0 |
13 | 51c39a35 |
14 | 30cb5724 |
15 | 1d57cca0 |
hex | 13429ac4 |
323132100 has 144 divisors (see below), whose sum is σ = 983978688. Its totient is φ = 81768960.
The previous prime is 323132099. The next prime is 323132101. The reversal of 323132100 is 1231323.
323132100 is digitally balanced in base 3 and base 9, because in such bases it contains all the possibile digits an equal number of times.
It is an interprime number because it is at equal distance from previous prime (323132099) and next prime (323132101).
It is a Harshad number since it is a multiple of its sum of digits (15).
323132100 is strictly pandigital in base 9.
It is a self number, because there is not a number n which added to its sum of digits gives 323132100.
It is not an unprimeable number, because it can be changed into a prime (323132101) by changing a digit.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 476962 + ... + 477638.
Almost surely, 2323132100 is an apocalyptic number.
323132100 is a gapful number since it is divisible by the number (30) 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 323132100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491989344).
323132100 is an abundant number, since it is smaller than the sum of its proper divisors (660846588).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
323132100 is a wasteful number, since it uses less digits than its factorization.
323132100 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 774 (or 767 counting only the distinct ones).
The product of its (nonzero) digits is 108, while the sum is 15.
The square root of 323132100 is about 17975.8755002364. The cubic root of 323132100 is about 686.2147270698.
Adding to 323132100 its reverse (1231323), we get a palindrome (324363423).
The spelling of 323132100 in words is "three hundred twenty-three million, one hundred thirty-two thousand, one hundred".
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