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131205340240 = 24513216758111
BaseRepresentation
bin111101000110001110…
…0101001110001010000
3110112122220222212120221
41322030130221301100
54122202031341430
6140135213442424
712323250663562
oct1721434516120
9415586885527
10131205340240
1150709aa3097
12215184a0414
13c4ac818900
1464c95c9332
15362daa657a
hex1e8c729c50

131205340240 has 120 divisors (see below), whose sum is σ = 332306731008. Its totient is φ = 48154129920.

The previous prime is 131205340187. The next prime is 131205340243. The reversal of 131205340240 is 42043502131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131205340243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2228785 + ... + 2286895.

Almost surely, 2131205340240 is an apocalyptic number.

131205340240 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 131205340240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166153365504).

131205340240 is an abundant number, since it is smaller than the sum of its proper divisors (201101390768).

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

131205340240 is a wasteful number, since it uses less digits than its factorization.

131205340240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58317 (or 58298 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

Adding to 131205340240 its reverse (42043502131), we get a palindrome (173248842371).

The spelling of 131205340240 in words is "one hundred thirty-one billion, two hundred five million, three hundred forty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 167 169 208 260 334 338 520 668 676 835 845 1040 1336 1352 1670 1690 2171 2672 2704 3340 3380 4342 6680 6760 8684 10855 13360 13520 17368 21710 28223 34736 43420 56446 58111 86840 112892 116222 141115 173680 225784 232444 282230 290555 451568 464888 564460 581110 755443 929776 1128920 1162220 1510886 2257840 2324440 3021772 3777215 4648880 6043544 7554430 9704537 9820759 12087088 15108860 19409074 19641518 30217720 38818148 39283036 48522685 49103795 60435440 77636296 78566072 97045370 98207590 126158981 155272592 157132144 194090740 196415180 252317962 388181480 392830360 504635924 630794905 776362960 785660720 1009271848 1261589810 1640066753 2018543696 2523179620 3280133506 5046359240 6560267012 8200333765 10092718480 13120534024 16400667530 26241068048 32801335060 65602670120 131205340240