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131314302 = 23273592903
BaseRepresentation
bin1111101001110…
…11001001111110
3100011002110100200
413310323021332
5232104024202
621010304330
73153103350
oct764731176
9304073320
10131314302
116813a419
1237b880a6
1321288a92
14136230d0
15b7dce1c
hex7d3b27e

131314302 has 48 divisors (see below), whose sum is σ = 326177280. Its totient is φ = 37400976.

The previous prime is 131314289. The next prime is 131314319. The reversal of 131314302 is 203413131.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43783 + ... + 46685.

It is an arithmetic number, because the mean of its divisors is an integer number (6795360).

Almost surely, 2131314302 is an apocalyptic number.

131314302 is an abundant number, since it is smaller than the sum of its proper divisors (194862978).

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

131314302 is a wasteful number, since it uses less digits than its factorization.

131314302 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3277 (or 3274 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 131314302 is about 11459.2452631052. The cubic root of 131314302 is about 508.2811570085.

Adding to 131314302 its reverse (203413131), we get a palindrome (334727433).

The spelling of 131314302 in words is "one hundred thirty-one million, three hundred fourteen thousand, three hundred two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 359 718 1077 2154 2513 2903 3231 5026 5806 6462 7539 8709 15078 17418 20321 22617 26127 40642 45234 52254 60963 121926 182889 365778 1042177 2084354 3126531 6253062 7295239 9379593 14590478 18759186 21885717 43771434 65657151 131314302