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131314293 = 32116012207
BaseRepresentation
bin1111101001110…
…11001001110101
3100011002110100100
413310323021311
5232104024133
621010304313
73153103335
oct764731165
9304073310
10131314293
116813a410
1237b88099
1321288a86
14136230c5
15b7dce13
hex7d3b275

131314293 has 24 divisors (see below), whose sum is σ = 207357696. Its totient is φ = 79416000.

The previous prime is 131314289. The next prime is 131314319. The reversal of 131314293 is 392413131.

It is not a de Polignac number, because 131314293 - 22 = 131314289 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131314223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 58396 + ... + 60602.

It is an arithmetic number, because the mean of its divisors is an integer number (8639904).

Almost surely, 2131314293 is an apocalyptic number.

It is an amenable number.

131314293 is a deficient number, since it is larger than the sum of its proper divisors (76043403).

131314293 is a wasteful number, since it uses less digits than its factorization.

131314293 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2825 (or 2822 counting only the distinct ones).

The product of its digits is 1944, while the sum is 27.

The square root of 131314293 is about 11459.2448704092. The cubic root of 131314293 is about 508.2811453963.

It can be divided in two parts, 13131 and 4293, that added together give a square (17424 = 1322).

The spelling of 131314293 in words is "one hundred thirty-one million, three hundred fourteen thousand, two hundred ninety-three".

Divisors: 1 3 9 11 33 99 601 1803 2207 5409 6611 6621 19833 19863 24277 59499 72831 218493 1326407 3979221 11937663 14590477 43771431 131314293