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131232300 = 2235231103137
BaseRepresentation
bin1111101001001…
…11001000101100
3100010221021212120
413310213020230
5232043413200
621004432540
73152312313
oct764471054
9303837776
10131232300
1168093851
1237b48750
132125a664
141360127a
15b7c39a0
hex7d2722c

131232300 has 144 divisors (see below), whose sum is σ = 398641152. Its totient is φ = 33292800.

The previous prime is 131232253. The next prime is 131232307. The reversal of 131232300 is 3232131.

131232300 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 (15).

It is a self number, because there is not a number n which added to its sum of digits gives 131232300.

It is not an unprimeable number, because it can be changed into a prime (131232307) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 957832 + ... + 957968.

Almost surely, 2131232300 is an apocalyptic number.

131232300 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 131232300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199320576).

131232300 is an abundant number, since it is smaller than the sum of its proper divisors (267408852).

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

131232300 is a wasteful number, since it uses less digits than its factorization.

131232300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 131232300 is about 11455.6667200124. Note that the first 3 decimals coincide. The cubic root of 131232300 is about 508.1753326623.

Adding to 131232300 its reverse (3232131), we get a palindrome (134464431).

The spelling of 131232300 in words is "one hundred thirty-one million, two hundred thirty-two thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 31 50 60 62 75 93 100 103 124 137 150 155 186 206 274 300 309 310 372 411 412 465 515 548 618 620 685 775 822 930 1030 1236 1370 1545 1550 1644 1860 2055 2060 2325 2575 2740 3090 3100 3193 3425 4110 4247 4650 5150 6180 6386 6850 7725 8220 8494 9300 9579 10275 10300 12741 12772 13700 14111 15450 15965 16988 19158 20550 21235 25482 28222 30900 31930 38316 41100 42333 42470 47895 50964 56444 63705 63860 70555 79825 84666 84940 95790 106175 127410 141110 159650 169332 191580 211665 212350 239475 254820 282220 318525 319300 352775 423330 424700 437441 478950 637050 705550 846660 874882 957900 1058325 1274100 1312323 1411100 1749764 2116650 2187205 2624646 4233300 4374410 5249292 6561615 8748820 10936025 13123230 21872050 26246460 32808075 43744100 65616150 131232300