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132130000 = 245473181
BaseRepresentation
bin1111110000000…
…10010011010000
3100012121220021201
413320002103100
5232311130000
621040000544
73163041442
oct770022320
9305556251
10132130000
1168647252
1238300154
13214b3142
1413796492
15b8ee96a
hex7e024d0

132130000 has 100 divisors (see below), whose sum is σ = 326073748. Its totient is φ = 51840000.

The previous prime is 132129989. The next prime is 132130027. The reversal of 132130000 is 31231.

132130000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 10 ways, for example, as 127148176 + 4981824 = 11276^2 + 2232^2 .

It is a tau number, because it is divible by the number of its divisors (100).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 729910 + ... + 730090.

Almost surely, 2132130000 is an apocalyptic number.

132130000 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 132130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163036874).

132130000 is an abundant number, since it is smaller than the sum of its proper divisors (193943748).

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

132130000 is an equidigital number, since it uses as much as digits as its factorization.

132130000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 10.

The square root of 132130000 is about 11494.7814246292. The cubic root of 132130000 is about 509.3314320321.

Adding to 132130000 its reverse (31231), we get a palindrome (132161231).

The spelling of 132130000 in words is "one hundred thirty-two million, one hundred thirty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 73 80 100 125 146 181 200 250 292 362 365 400 500 584 625 724 730 905 1000 1168 1250 1448 1460 1810 1825 2000 2500 2896 2920 3620 3650 4525 5000 5840 7240 7300 9050 9125 10000 13213 14480 14600 18100 18250 22625 26426 29200 36200 36500 45250 45625 52852 66065 72400 73000 90500 91250 105704 113125 132130 146000 181000 182500 211408 226250 264260 330325 362000 365000 452500 528520 660650 730000 905000 1057040 1321300 1651625 1810000 2642600 3303250 5285200 6606500 8258125 13213000 16516250 26426000 33032500 66065000 132130000