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131230000 = 2454111193
BaseRepresentation
bin1111101001001…
…10100100110000
3100010221011201101
413310212210300
5232043330000
621004414144
73152302516
oct764464460
9303834641
10131230000
1168092050
1237b47354
13212595b5
14136004b6
15b7c2e6a
hex7d26930

131230000 has 100 divisors (see below), whose sum is σ = 346895208. Its totient is φ = 47680000.

The previous prime is 131229997. The next prime is 131230003. The reversal of 131230000 is 32131.

It is an interprime number because it is at equal distance from previous prime (131229997) and next prime (131230003).

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 not an unprimeable number, because it can be changed into a prime (131230003) 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 19 ways as a sum of consecutive naturals, for example, 109404 + ... + 110596.

Almost surely, 2131230000 is an apocalyptic number.

131230000 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 131230000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173447604).

131230000 is an abundant number, since it is smaller than the sum of its proper divisors (215665208).

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

131230000 is a wasteful number, since it uses less digits than its factorization.

131230000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1232 (or 1211 counting only the distinct ones).

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

The square root of 131230000 is about 11455.5663325739. The cubic root of 131230000 is about 508.1723638554.

Adding to 131230000 its reverse (32131), we get a palindrome (131262131).

The spelling of 131230000 in words is "one hundred thirty-one million, two hundred thirty thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 400 440 500 550 625 880 1000 1100 1193 1250 1375 2000 2200 2386 2500 2750 4400 4772 5000 5500 5965 6875 9544 10000 11000 11930 13123 13750 19088 22000 23860 26246 27500 29825 47720 52492 55000 59650 65615 95440 104984 110000 119300 131230 149125 209968 238600 262460 298250 328075 477200 524920 596500 656150 745625 1049840 1193000 1312300 1491250 1640375 2386000 2624600 2982500 3280750 5249200 5965000 6561500 8201875 11930000 13123000 16403750 26246000 32807500 65615000 131230000