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131332663420 = 225712746715817
BaseRepresentation
bin111101001010000001…
…0010110100001111100
3110112222210120120011021
41322110002112201330
54122432130212140
6140200002433524
712326355135310
oct1722402264174
9415883516137
10131332663420
1150774956962
12215530628a4
13c500007b7a
1464dc48db40
153639d56b4a
hex1e9409687c

131332663420 has 96 divisors (see below), whose sum is σ = 318380654592. Its totient is φ = 44575308288.

The previous prime is 131332663411. The next prime is 131332663421. The reversal of 131332663420 is 24366233131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131332663421) 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 31 ways as a sum of consecutive naturals, for example, 8295352 + ... + 8311168.

It is an arithmetic number, because the mean of its divisors is an integer number (3316465152).

Almost surely, 2131332663420 is an apocalyptic number.

131332663420 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 131332663420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159190327296).

131332663420 is an abundant number, since it is smaller than the sum of its proper divisors (187047991172).

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

131332663420 is a wasteful number, since it uses less digits than its factorization.

131332663420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16427 (or 16425 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 34.

Adding to 131332663420 its reverse (24366233131), we get a palindrome (155698896551).

The spelling of 131332663420 in words is "one hundred thirty-one billion, three hundred thirty-two million, six hundred sixty-three thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 127 140 254 467 508 635 889 934 1270 1778 1868 2335 2540 3269 3556 4445 4670 6538 8890 9340 13076 15817 16345 17780 31634 32690 59309 63268 65380 79085 110719 118618 158170 221438 237236 296545 316340 415163 442876 553595 593090 830326 1107190 1186180 1660652 2008759 2075815 2214380 4017518 4151630 7386539 8035036 8303260 10043795 14061313 14773078 20087590 28122626 29546156 36932695 40175180 51705773 56245252 70306565 73865390 103411546 140613130 147730780 206823092 258528865 281226260 517057730 938090453 1034115460 1876180906 3752361812 4690452265 6566633171 9380904530 13133266342 18761809060 26266532684 32833165855 65666331710 131332663420