Search a number
-
+
132230100 = 223523671201
BaseRepresentation
bin1111110000110…
…10101111010100
3100012210222121010
413320122233110
5232322330400
621042052220
73163636332
oct770325724
9305728533
10132230100
1168705482
123834a070
1321519882
14137c0b52
15b91e450
hex7e1abd4

132230100 has 72 divisors (see below), whose sum is σ = 383947648. Its totient is φ = 35136000.

The previous prime is 132230089. The next prime is 132230123. The reversal of 132230100 is 1032231.

It is a happy number.

132230100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 23 ways as a sum of consecutive naturals, for example, 109500 + ... + 110700.

Almost surely, 2132230100 is an apocalyptic number.

132230100 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 132230100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191973824).

132230100 is an abundant number, since it is smaller than the sum of its proper divisors (251717548).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

132230100 is a wasteful number, since it uses less digits than its factorization.

132230100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1585 (or 1578 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 132230100 is about 11499.1347500584. The cubic root of 132230100 is about 509.4600205606.

Adding to 132230100 its reverse (1032231), we get a palindrome (133262331).

The spelling of 132230100 in words is "one hundred thirty-two million, two hundred thirty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 367 734 1101 1201 1468 1835 2202 2402 3603 3670 4404 4804 5505 6005 7206 7340 9175 11010 12010 14412 18015 18350 22020 24020 27525 30025 36030 36700 55050 60050 72060 90075 110100 120100 180150 360300 440767 881534 1322301 1763068 2203835 2644602 4407670 5289204 6611505 8815340 11019175 13223010 22038350 26446020 33057525 44076700 66115050 132230100