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132131300 = 22527316089
BaseRepresentation
bin1111110000000…
…10100111100100
3100012121222001212
413320002213210
5232311200200
621040010552
73163045310
oct770024744
9305558055
10132131300
1168648224
1238300a58
13214b3902
1413796b40
15b900035
hex7e029e4

132131300 has 72 divisors (see below), whose sum is σ = 338311680. Its totient is φ = 43833600.

The previous prime is 132131299. The next prime is 132131309. The reversal of 132131300 is 3131231.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132131309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18656 + ... + 24744.

Almost surely, 2132131300 is an apocalyptic number.

132131300 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 132131300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169155840).

132131300 is an abundant number, since it is smaller than the sum of its proper divisors (206180380).

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

132131300 is a wasteful number, since it uses less digits than its factorization.

132131300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6141 (or 6134 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

The square root of 132131300 is about 11494.8379718898. The cubic root of 132131300 is about 509.3331024292. Note that the first 3 decimals are identical.

Adding to 132131300 its reverse (3131231), we get a palindrome (135262531).

The spelling of 132131300 in words is "one hundred thirty-two million, one hundred thirty-one thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 31 35 50 62 70 100 124 140 155 175 217 310 350 434 620 700 775 868 1085 1550 2170 3100 4340 5425 6089 10850 12178 21700 24356 30445 42623 60890 85246 121780 152225 170492 188759 213115 304450 377518 426230 608900 755036 852460 943795 1065575 1321313 1887590 2131150 2642626 3775180 4262300 4718975 5285252 6606565 9437950 13213130 18875900 26426260 33032825 66065650 132131300