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131314110 = 23537281421
BaseRepresentation
bin1111101001110…
…11000110111110
3100011002110002120
413310323012332
5232104022420
621010303410
73153102654
oct764730676
9304073076
10131314110
116813a264
1237b87b66
1321288975
1413622dd4
15b7dcd40
hex7d3b1be

131314110 has 64 divisors (see below), whose sum is σ = 325594944. Its totient is φ = 33868800.

The previous prime is 131314081. The next prime is 131314123. The reversal of 131314110 is 11413131.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 131314110.

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, 311700 + ... + 312120.

It is an arithmetic number, because the mean of its divisors is an integer number (5087421).

Almost surely, 2131314110 is an apocalyptic number.

131314110 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 131314110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162797472).

131314110 is an abundant number, since it is smaller than the sum of its proper divisors (194280834).

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

131314110 is a wasteful number, since it uses less digits than its factorization.

131314110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 749.

The product of its (nonzero) digits is 36, while the sum is 15.

The square root of 131314110 is about 11459.2368855871. The cubic root of 131314110 is about 508.2809092821.

Adding to 131314110 its reverse (11413131), we get a palindrome (142727241).

The spelling of 131314110 in words is "one hundred thirty-one million, three hundred fourteen thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 15 30 37 74 111 185 222 281 370 421 555 562 842 843 1110 1263 1405 1686 2105 2526 2810 4210 4215 6315 8430 10397 12630 15577 20794 31154 31191 46731 51985 62382 77885 93462 103970 118301 155770 155955 233655 236602 311910 354903 467310 591505 709806 1183010 1774515 3549030 4377137 8754274 13131411 21885685 26262822 43771370 65657055 131314110