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131131310232 = 233138317092963
BaseRepresentation
bin111101000100000001…
…0010000000010011000
3110112110202200202111210
41322020002100002120
54122024103411412
6140124011023120
712321361513626
oct1721002200230
9415422622453
10131131310232
115068122a26a
12214b773aaa0
13c49a398980
1464bd838516
15362733183c
hex1e88090098

131131310232 has 128 divisors (see below), whose sum is σ = 357629126400. Its totient is φ = 39825203712.

The previous prime is 131131310209. The next prime is 131131310257. The reversal of 131131310232 is 232013131131.

It is a happy number.

It is a super-2 number, since 2×1311313102322 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 131131310199 and 131131310208.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44254783 + ... + 44257745.

It is an arithmetic number, because the mean of its divisors is an integer number (2793977550).

Almost surely, 2131131310232 is an apocalyptic number.

131131310232 is a gapful number since it is divisible by the number (12) 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 131131310232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178814563200).

131131310232 is an abundant number, since it is smaller than the sum of its proper divisors (226497816168).

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

131131310232 is a wasteful number, since it uses less digits than its factorization.

131131310232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4777 (or 4773 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 131131310232 its reverse (232013131131), we get a palindrome (363144441363).

The spelling of 131131310232 in words is "one hundred thirty-one billion, one hundred thirty-one million, three hundred ten thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 83 104 156 166 249 312 332 498 664 996 1079 1709 1992 2158 2963 3237 3418 4316 5127 5926 6474 6836 8632 8889 10254 11852 12948 13672 17778 20508 22217 23704 25896 35556 38519 41016 44434 66651 71112 77038 88868 115557 133302 141847 154076 177736 231114 245929 266604 283694 308152 425541 462228 491858 533208 567388 737787 851082 924456 983716 1134776 1475574 1702164 1844011 1967432 2951148 3197077 3404328 3688022 5063767 5532033 5902296 6394154 7376044 9591231 10127534 11064066 12788308 14752088 15191301 19182462 20255068 22128132 25576616 30382602 38364924 40510136 44256264 60765204 65828971 76729848 121530408 131657942 197486913 263315884 394973826 420292661 526631768 789947652 840585322 1260877983 1579895304 1681170644 2521755966 3362341288 5043511932 5463804593 10087023864 10927609186 16391413779 21855218372 32782827558 43710436744 65565655116 131131310232