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131311435420 = 2251119128924371
BaseRepresentation
bin111101001001011000…
…1010111111010011100
3110112221022122001211001
41322102301113322130
54122411211413140
6140153523440044
712326006533144
oct1722261277234
9415838561731
10131311435420
1150763977a60
1221547b26024
13c4c87b4819
1464d9725924
153638061e9a
hex1e92c57e9c

131311435420 has 96 divisors (see below), whose sum is σ = 316913990400. Its totient is φ = 45199526400.

The previous prime is 131311435397. The next prime is 131311435429. The reversal of 131311435420 is 24534113131.

It is a super-3 number, since 3×1313114354203 (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131311435429) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5375835 + ... + 5400205.

It is an arithmetic number, because the mean of its divisors is an integer number (3301187400).

Almost surely, 2131311435420 is an apocalyptic number.

131311435420 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 131311435420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158456995200).

131311435420 is an abundant number, since it is smaller than the sum of its proper divisors (185602554980).

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

131311435420 is a wasteful number, since it uses less digits than its factorization.

131311435420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25699 (or 25697 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

Adding to 131311435420 its reverse (24534113131), we get a palindrome (155845548551).

The spelling of 131311435420 in words is "one hundred thirty-one billion, three hundred eleven million, four hundred thirty-five thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 19 20 22 38 44 55 76 95 110 190 209 220 380 418 836 1045 1289 2090 2578 4180 5156 6445 12890 14179 24371 24491 25780 28358 48742 48982 56716 70895 97484 97964 121855 122455 141790 243710 244910 268081 269401 283580 463049 487420 489820 536162 538802 926098 1072324 1077604 1340405 1347005 1852196 2315245 2680810 2694010 4630490 5093539 5361620 5388020 9260980 10187078 20374156 25467695 31414219 50935390 62828438 101870780 125656876 157071095 314142190 345556409 596870161 628284380 691112818 1193740322 1382225636 1727782045 2387480644 2984350805 3455564090 5968701610 6565571771 6911128180 11937403220 13131143542 26262287084 32827858855 65655717710 131311435420