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131220342 = 232111315059
BaseRepresentation
bin1111101001001…
…00001101110110
3100010220200110200
413310210031312
5232043022332
621004301330
73152232411
oct764441566
9303820420
10131220342
1168085870
1237b41846
1321255096
14135dab78
15b7c017c
hex7d24376

131220342 has 48 divisors (see below), whose sum is σ = 312586560. Its totient is φ = 39452400.

The previous prime is 131220329. The next prime is 131220361. The reversal of 131220342 is 243022131.

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, 23409 + ... + 28467.

It is an arithmetic number, because the mean of its divisors is an integer number (6512220).

Almost surely, 2131220342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131220342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156293280).

131220342 is an abundant number, since it is smaller than the sum of its proper divisors (181366218).

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

131220342 is a wasteful number, since it uses less digits than its factorization.

131220342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5209 (or 5206 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 131220342 is about 11455.1447830222. The cubic root of 131220342 is about 508.1598970691.

Adding to 131220342 its reverse (243022131), we get a palindrome (374242473).

The spelling of 131220342 in words is "one hundred thirty-one million, two hundred twenty thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 131 198 262 393 786 1179 1441 2358 2882 4323 5059 8646 10118 12969 15177 25938 30354 45531 55649 91062 111298 166947 333894 500841 662729 1001682 1325458 1988187 3976374 5964561 7290019 11929122 14580038 21870057 43740114 65610171 131220342