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132110200 = 23524116111
BaseRepresentation
bin1111101111111…
…01011101111000
3100012120220010101
413313331131320
5232310011300
621035325144
73162626635
oct767753570
9305526111
10132110200
1168633392
12382b07b4
13214a7121
141378d18c
15b8e8b6a
hex7dfd778

132110200 has 48 divisors (see below), whose sum is σ = 314667360. Its totient is φ = 51552000.

The previous prime is 132110191. The next prime is 132110207. The reversal of 132110200 is 2011231.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132110207) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 145 + ... + 16255.

It is an arithmetic number, because the mean of its divisors is an integer number (6555570).

Almost surely, 2132110200 is an apocalyptic number.

132110200 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 132110200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157333680).

132110200 is an abundant number, since it is smaller than the sum of its proper divisors (182557160).

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

132110200 is a wasteful number, since it uses less digits than its factorization.

132110200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16168 (or 16159 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 132110200 is about 11493.9201319654. The cubic root of 132110200 is about 509.3059892456.

Adding to 132110200 its reverse (2011231), we get a palindrome (134121431).

The spelling of 132110200 in words is "one hundred thirty-two million, one hundred ten thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 41 50 82 100 164 200 205 328 410 820 1025 1640 2050 4100 8200 16111 32222 64444 80555 128888 161110 322220 402775 644440 660551 805550 1321102 1611100 2642204 3222200 3302755 5284408 6605510 13211020 16513775 26422040 33027550 66055100 132110200