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131293500 = 22353136733
BaseRepresentation
bin1111101001101…
…10000100111100
3100011001101211020
413310312010330
5232102343000
621010024140
73152655612
oct764660474
9304041736
10131293500
1168125828
1237b78050
132127c480
14136196b2
15b7d6ba0
hex7d3613c

131293500 has 96 divisors (see below), whose sum is σ = 411797568. Its totient is φ = 32313600.

The previous prime is 131293471. The next prime is 131293517. The reversal of 131293500 is 5392131.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16134 + ... + 22866.

It is an arithmetic number, because the mean of its divisors is an integer number (4289558).

Almost surely, 2131293500 is an apocalyptic number.

131293500 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 131293500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205898784).

131293500 is an abundant number, since it is smaller than the sum of its proper divisors (280504068).

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

131293500 is a wasteful number, since it uses less digits than its factorization.

131293500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6768 (or 6756 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 24.

The square root of 131293500 is about 11458.3375757568. The cubic root of 131293500 is about 508.2543160048.

The spelling of 131293500 in words is "one hundred thirty-one million, two hundred ninety-three thousand, five hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 50 52 60 65 75 78 100 125 130 150 156 195 250 260 300 325 375 390 500 650 750 780 975 1300 1500 1625 1950 3250 3900 4875 6500 6733 9750 13466 19500 20199 26932 33665 40398 67330 80796 87529 100995 134660 168325 175058 201990 262587 336650 350116 403980 437645 504975 525174 673300 841625 875290 1009950 1050348 1312935 1683250 1750580 2019900 2188225 2524875 2625870 3366500 4376450 5049750 5251740 6564675 8752900 10099500 10941125 13129350 21882250 26258700 32823375 43764500 65646750 131293500