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131313700 = 225271491259
BaseRepresentation
bin1111101001110…
…11000000100100
3100011002102112101
413310323000210
5232104014300
621010301444
73153101530
oct764730044
9304072471
10131313700
1168139a21
1237b87884
132128871b
1413622bc0
15b7dcb6a
hex7d3b024

131313700 has 72 divisors (see below), whose sum is σ = 328104000. Its totient is φ = 44684160.

The previous prime is 131313697. The next prime is 131313709. The reversal of 131313700 is 7313131.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131313709) 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, 103671 + ... + 104929.

It is an arithmetic number, because the mean of its divisors is an integer number (4557000).

Almost surely, 2131313700 is an apocalyptic number.

131313700 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 131313700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164052000).

131313700 is an abundant number, since it is smaller than the sum of its proper divisors (196790300).

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

131313700 is a wasteful number, since it uses less digits than its factorization.

131313700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1429 (or 1422 counting only the distinct ones).

The product of its (nonzero) digits is 189, while the sum is 19.

The square root of 131313700 is about 11459.2189960747. The cubic root of 131313700 is about 508.2803802824.

Adding to 131313700 its reverse (7313131), we get a palindrome (138626831).

The spelling of 131313700 in words is "one hundred thirty-one million, three hundred thirteen thousand, seven hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 149 175 298 350 596 700 745 1043 1259 1490 2086 2518 2980 3725 4172 5036 5215 6295 7450 8813 10430 12590 14900 17626 20860 25180 26075 31475 35252 44065 52150 62950 88130 104300 125900 176260 187591 220325 375182 440650 750364 881300 937955 1313137 1875910 2626274 3751820 4689775 5252548 6565685 9379550 13131370 18759100 26262740 32828425 65656850 131313700