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131104340 = 22517715431
BaseRepresentation
bin1111101000001…
…11111001010100
3100010200210100022
413310013321110
5232030314330
621002004312
73151240253
oct764077124
9303623308
10131104340
11680066a4
1237aa6698
1321214343
14135aa79a
15b79aae5
hex7d07e54

131104340 has 48 divisors (see below), whose sum is σ = 295674624. Its totient is φ = 48652800.

The previous prime is 131104339. The next prime is 131104349. The reversal of 131104340 is 43401131.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131104349) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21425 + ... + 26855.

It is an arithmetic number, because the mean of its divisors is an integer number (6159888).

Almost surely, 2131104340 is an apocalyptic number.

131104340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131104340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147837312).

131104340 is an abundant number, since it is smaller than the sum of its proper divisors (164570284).

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

131104340 is a wasteful number, since it uses less digits than its factorization.

131104340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5528 (or 5526 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 131104340 is about 11450.0803490631. The cubic root of 131104340 is about 508.0101109856.

Adding to 131104340 its reverse (43401131), we get a palindrome (174505471).

The spelling of 131104340 in words is "one hundred thirty-one million, one hundred four thousand, three hundred forty".

Divisors: 1 2 4 5 10 17 20 34 68 71 85 142 170 284 340 355 710 1207 1420 2414 4828 5431 6035 10862 12070 21724 24140 27155 54310 92327 108620 184654 369308 385601 461635 771202 923270 1542404 1846540 1928005 3856010 6555217 7712020 13110434 26220868 32776085 65552170 131104340