Search a number
-
+
132130110 = 23572692339
BaseRepresentation
bin1111110000000…
…10010100111110
3100012121220102210
413320002110332
5232311130420
621040001250
73163041660
oct770022476
9305556383
10132130110
1168647342
1238300226
13214b31c8
1413796530
15b8ee9e0
hex7e0253e

132130110 has 64 divisors (see below), whose sum is σ = 363916800. Its totient is φ = 30076032.

The previous prime is 132130093. The next prime is 132130111. The reversal of 132130110 is 11031231.

132130110 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1321301102 = 34916731937224200, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132130111) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55321 + ... + 57659.

It is an arithmetic number, because the mean of its divisors is an integer number (5686200).

Almost surely, 2132130110 is an apocalyptic number.

132130110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 132130110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181958400).

132130110 is an abundant number, since it is smaller than the sum of its proper divisors (231786690).

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

132130110 is a wasteful number, since it uses less digits than its factorization.

132130110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2625.

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 132130110 is about 11494.7862094082. The cubic root of 132130110 is about 509.3315733738.

Adding to 132130110 its reverse (11031231), we get a palindrome (143161341).

The spelling of 132130110 in words is "one hundred thirty-two million, one hundred thirty thousand, one hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 269 538 807 1345 1614 1883 2339 2690 3766 4035 4678 5649 7017 8070 9415 11298 11695 14034 16373 18830 23390 28245 32746 35085 49119 56490 70170 81865 98238 163730 245595 491190 629191 1258382 1887573 3145955 3775146 4404337 6291910 8808674 9437865 13213011 18875730 22021685 26426022 44043370 66065055 132130110