Base | Representation |
---|---|
bin | 1111101111010… |
… | …00001100111100 |
3 | 100012102110122110 |
4 | 13313220030330 |
5 | 232244214400 |
6 | 21033414020 |
7 | 3162114666 |
oct | 767501474 |
9 | 305373573 |
10 | 132023100 |
11 | 68583a00 |
12 | 3826a310 |
13 | 214765a1 |
14 | 13769536 |
15 | b8cce50 |
hex | 7de833c |
132023100 has 108 divisors (see below), whose sum is σ = 419985272. Its totient is φ = 31996800.
The previous prime is 132023069. The next prime is 132023113. The reversal of 132023100 is 1320231.
It is a happy number.
It is a super-2 number, since 2×1320231002 = 34860197867220000, 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 an unprimeable number.
It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 34482 + ... + 38118.
Almost surely, 2132023100 is an apocalyptic number.
132023100 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 132023100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209992636).
132023100 is an abundant number, since it is smaller than the sum of its proper divisors (287962172).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
132023100 is a wasteful number, since it uses less digits than its factorization.
132023100 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 3676 (or 3658 counting only the distinct ones).
The product of its (nonzero) digits is 36, while the sum is 12.
The square root of 132023100 is about 11490.1305475612. The cubic root of 132023100 is about 509.1940364865.
Adding to 132023100 its reverse (1320231), we get a palindrome (133343331).
Multiplying 132023100 by its reverse (1320231), we get a square (174300989336100 = 132023102).
132023100 divided by its reverse (1320231) gives a square (100 = 102).
The spelling of 132023100 in words is "one hundred thirty-two million, twenty-three thousand, one hundred".
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