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131314698 = 2321731109127
BaseRepresentation
bin1111101001110…
…11010000001010
3100011002110220100
413310323100022
5232104032243
621010310230
73153104454
oct764732012
9304073810
10131314698
116813a749
1237b88376
1321289008
14136232d4
15b7dd0d3
hex7d3b40a

131314698 has 96 divisors (see below), whose sum is σ = 316293120. Its totient is φ = 39191040.

The previous prime is 131314693. The next prime is 131314709. The reversal of 131314698 is 896413131.

It is not an unprimeable number, because it can be changed into a prime (131314693) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1033911 + ... + 1034037.

It is an arithmetic number, because the mean of its divisors is an integer number (3294720).

Almost surely, 2131314698 is an apocalyptic number.

131314698 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 131314698, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158146560).

131314698 is an abundant number, since it is smaller than the sum of its proper divisors (184978422).

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

131314698 is a wasteful number, since it uses less digits than its factorization.

131314698 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292 (or 289 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 131314698 is about 11459.2625417171. The cubic root of 131314698 is about 508.2816679433.

The spelling of 131314698 in words is "one hundred thirty-one million, three hundred fourteen thousand, six hundred ninety-eight".

Divisors: 1 2 3 6 9 17 18 31 34 51 62 93 102 109 127 153 186 218 254 279 306 327 381 527 558 654 762 981 1054 1143 1581 1853 1962 2159 2286 3162 3379 3706 3937 4318 4743 5559 6477 6758 7874 9486 10137 11118 11811 12954 13843 16677 19431 20274 23622 27686 30411 33354 35433 38862 41529 57443 60822 66929 70866 83058 114886 124587 133858 172329 200787 235331 249174 344658 401574 429133 470662 516987 602361 705993 858266 1033974 1204722 1287399 1411986 2117979 2574798 3862197 4235958 7295261 7724394 14590522 21885783 43771566 65657349 131314698