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131041340 = 22531241877
BaseRepresentation
bin1111100111110…
…00100000111100
3100010120120220222
413303320200330
5232021310330
621000400512
73150555503
oct763704074
9303516828
10131041340
1167a73331
1237a76138
13211c1771
141359183a
15b7870e5
hex7cf883c

131041340 has 48 divisors (see below), whose sum is σ = 285567744. Its totient is φ = 50457600.

The previous prime is 131041303. The next prime is 131041349. The reversal of 131041340 is 43140131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131041349) 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, 148982 + ... + 149858.

It is an arithmetic number, because the mean of its divisors is an integer number (5949328).

Almost surely, 2131041340 is an apocalyptic number.

131041340 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 131041340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142783872).

131041340 is an abundant number, since it is smaller than the sum of its proper divisors (154526404).

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

131041340 is a wasteful number, since it uses less digits than its factorization.

131041340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1158 (or 1156 counting only the distinct ones).

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

The square root of 131041340 is about 11447.3289460904. The cubic root of 131041340 is about 507.9287260246.

Adding to 131041340 its reverse (43140131), we get a palindrome (174181471).

The spelling of 131041340 in words is "one hundred thirty-one million, forty-one thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 31 62 124 155 241 310 482 620 877 964 1205 1754 2410 3508 4385 4820 7471 8770 14942 17540 27187 29884 37355 54374 74710 108748 135935 149420 211357 271870 422714 543740 845428 1056785 2113570 4227140 6552067 13104134 26208268 32760335 65520670 131041340