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131201240 = 23517613163
BaseRepresentation
bin1111101000111…
…11100011011000
3100010212201021012
413310133203120
5232041414430
621004033052
73152122622
oct764374330
9303781235
10131201240
1168072485
1237b32788
1321249491
14135d3c12
15b7b9695
hex7d1f8d8

131201240 has 64 divisors (see below), whose sum is σ = 317792160. Its totient is φ = 48568320.

The previous prime is 131201197. The next prime is 131201243. The reversal of 131201240 is 42102131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131201243) 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, 39899 + ... + 43061.

Almost surely, 2131201240 is an apocalyptic number.

131201240 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 131201240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158896080).

131201240 is an abundant number, since it is smaller than the sum of its proper divisors (186590920).

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

131201240 is a wasteful number, since it uses less digits than its factorization.

131201240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3252 (or 3248 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 131201240 is about 11454.3109788411. The cubic root of 131201240 is about 508.1352379315.

Adding to 131201240 its reverse (42102131), we get a palindrome (173303371).

The spelling of 131201240 in words is "one hundred thirty-one million, two hundred one thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 61 68 85 122 136 170 244 305 340 488 610 680 1037 1220 2074 2440 3163 4148 5185 6326 8296 10370 12652 15815 20740 25304 31630 41480 53771 63260 107542 126520 192943 215084 268855 385886 430168 537710 771772 964715 1075420 1543544 1929430 2150840 3280031 3858860 6560062 7717720 13120124 16400155 26240248 32800310 65600620 131201240