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131043301340 = 225719181272179
BaseRepresentation
bin111101000001011001…
…0100001011111011100
3110112020122002110000012
41322002302201133130
54121334041120330
6140111144422352
712316242453140
oct1720262413734
9415218073005
10131043301340
1150636588946
12214921779b8
13c4850930c3
1464b1c89220
15361e749c95
hex1e82ca17dc

131043301340 has 96 divisors (see below), whose sum is σ = 332887027200. Its totient is φ = 42329122560.

The previous prime is 131043301327. The next prime is 131043301351. The reversal of 131043301340 is 43103340131.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 345371 + ... + 617549.

It is an arithmetic number, because the mean of its divisors is an integer number (3467573200).

Almost surely, 2131043301340 is an apocalyptic number.

131043301340 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 131043301340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166443513600).

131043301340 is an abundant number, since it is smaller than the sum of its proper divisors (201843725860).

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

131043301340 is a wasteful number, since it uses less digits than its factorization.

131043301340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272395 (or 272393 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 131043301340 its reverse (43103340131), we get a palindrome (174146641471).

The spelling of 131043301340 in words is "one hundred thirty-one billion, forty-three million, three hundred one thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 19 20 28 35 38 70 76 95 133 140 181 190 266 362 380 532 665 724 905 1267 1330 1810 2534 2660 3439 3620 5068 6335 6878 12670 13756 17195 24073 25340 34390 48146 68780 96292 120365 240730 272179 481460 544358 1088716 1360895 1905253 2721790 3810506 5171401 5443580 7621012 9526265 10342802 19052530 20685604 25857005 36199807 38105060 49264399 51714010 72399614 98528798 103428020 144799228 180999035 197057596 246321995 344850793 361998070 492643990 689701586 723996140 936023581 985287980 1379403172 1724253965 1872047162 3448507930 3744094324 4680117905 6552165067 6897015860 9360235810 13104330134 18720471620 26208660268 32760825335 65521650670 131043301340