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131353000 = 2353235711
BaseRepresentation
bin1111101010001…
…00100110101000
3100011011102102221
413311010212220
5232111244000
621011203424
73153324232
oct765044650
9304142387
10131353000
11681664a9
1237ba6574
13212a058c
1413633252
15b7e961a
hex7d449a8

131353000 has 64 divisors (see below), whose sum is σ = 320785920. Its totient is φ = 50248000.

The previous prime is 131352959. The next prime is 131353009. The reversal of 131353000 is 353131.

It is a super-2 number, since 2×1313530002 = 34507221218000000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (131353009) 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 15 ways as a sum of consecutive naturals, for example, 20145 + ... + 25855.

It is an arithmetic number, because the mean of its divisors is an integer number (5012280).

Almost surely, 2131353000 is an apocalyptic number.

131353000 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 131353000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160392960).

131353000 is an abundant number, since it is smaller than the sum of its proper divisors (189432920).

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

131353000 is a wasteful number, since it uses less digits than its factorization.

131353000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5755 (or 5741 counting only the distinct ones).

The product of its (nonzero) digits is 135, while the sum is 16.

The square root of 131353000 is about 11460.9336443415. The cubic root of 131353000 is about 508.3310818378.

The spelling of 131353000 in words is "one hundred thirty-one million, three hundred fifty-three thousand".

Divisors: 1 2 4 5 8 10 20 23 25 40 46 50 92 100 115 125 184 200 230 250 460 500 575 920 1000 1150 2300 2875 4600 5711 5750 11422 11500 22844 23000 28555 45688 57110 114220 131353 142775 228440 262706 285550 525412 571100 656765 713875 1050824 1142200 1313530 1427750 2627060 2855500 3283825 5254120 5711000 6567650 13135300 16419125 26270600 32838250 65676500 131353000