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131341350 = 23527432909
BaseRepresentation
bin1111101010000…
…01110000100110
3100011010211110110
413311001300212
5232110410400
621011033450
73153245250
oct765016046
9304124413
10131341350
1168158778
1237b9b886
132129819a
141362ccd0
15b7e5e50
hex7d41c26

131341350 has 96 divisors (see below), whose sum is σ = 381047040. Its totient is φ = 29312640.

The previous prime is 131341349. The next prime is 131341351. The reversal of 131341350 is 53143131.

It is an interprime number because it is at equal distance from previous prime (131341349) and next prime (131341351).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131341351) 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 47 ways as a sum of consecutive naturals, for example, 43696 + ... + 46604.

It is an arithmetic number, because the mean of its divisors is an integer number (3969240).

Almost surely, 2131341350 is an apocalyptic number.

131341350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 131341350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190523520).

131341350 is an abundant number, since it is smaller than the sum of its proper divisors (249705690).

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

131341350 is a wasteful number, since it uses less digits than its factorization.

131341350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2974 (or 2969 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 131341350 is about 11460.4253847752. The cubic root of 131341350 is about 508.3160530421.

Adding to 131341350 its reverse (53143131), we get a palindrome (184484481).

The spelling of 131341350 in words is "one hundred thirty-one million, three hundred forty-one thousand, three hundred fifty".

Divisors: 1 2 3 5 6 7 10 14 15 21 25 30 35 42 43 50 70 75 86 105 129 150 175 210 215 258 301 350 430 525 602 645 903 1050 1075 1290 1505 1806 2150 2909 3010 3225 4515 5818 6450 7525 8727 9030 14545 15050 17454 20363 22575 29090 40726 43635 45150 61089 72725 87270 101815 122178 125087 145450 203630 218175 250174 305445 375261 436350 509075 610890 625435 750522 875609 1018150 1250870 1527225 1751218 1876305 2626827 3054450 3127175 3752610 4378045 5253654 6254350 8756090 9381525 13134135 18763050 21890225 26268270 43780450 65670675 131341350