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131344206 = 23721912339
BaseRepresentation
bin1111101010000…
…10011101001110
3100011010222101020
413311002131032
5232111003311
621011055010
73153256500
oct765023516
9304128336
10131344206
116815a934
1237ba1466
1321299586
141362dd70
15b7e6c06
hex7d4274e

131344206 has 48 divisors (see below), whose sum is σ = 307307520. Its totient is φ = 37314480.

The previous prime is 131344201. The next prime is 131344247. The reversal of 131344206 is 602443131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131344201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54985 + ... + 57323.

It is an arithmetic number, because the mean of its divisors is an integer number (6402240).

Almost surely, 2131344206 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131344206, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153653760).

131344206 is an abundant number, since it is smaller than the sum of its proper divisors (175963314).

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

131344206 is a wasteful number, since it uses less digits than its factorization.

131344206 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2549 (or 2542 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 131344206 is about 11460.5499868026. The cubic root of 131344206 is about 508.3197374368.

Adding to 131344206 its reverse (602443131), we get a palindrome (733787337).

The spelling of 131344206 in words is "one hundred thirty-one million, three hundred forty-four thousand, two hundred six".

Divisors: 1 2 3 6 7 14 21 42 49 98 147 191 294 382 573 1146 1337 2339 2674 4011 4678 7017 8022 9359 14034 16373 18718 28077 32746 49119 56154 98238 114611 229222 343833 446749 687666 893498 1340247 2680494 3127243 6254486 9381729 18763458 21890701 43781402 65672103 131344206