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131333103320 = 23531136777479
BaseRepresentation
bin111101001010000010…
…0000001111011011000
3110112222211101220120212
41322110010001323120
54122432233301240
6140200020110252
712326361646646
oct1722404017330
9415884356525
10131333103320
1150775127411
1221553235388
13c500130173
1464dc566196
153639de2165
hex1e94101ed8

131333103320 has 64 divisors (see below), whose sum is σ = 305258803200. Its totient is φ = 50800775040.

The previous prime is 131333103299. The next prime is 131333103323. The reversal of 131333103320 is 23301333131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131333103323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1656341 + ... + 1733819.

It is an arithmetic number, because the mean of its divisors is an integer number (4769668800).

Almost surely, 2131333103320 is an apocalyptic number.

131333103320 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 131333103320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152629401600).

131333103320 is an abundant number, since it is smaller than the sum of its proper divisors (173925699880).

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

131333103320 is a wasteful number, since it uses less digits than its factorization.

131333103320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78888 (or 78884 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 23.

Adding to 131333103320 its reverse (23301333131), we get a palindrome (154634436451).

The spelling of 131333103320 in words is "one hundred thirty-one billion, three hundred thirty-three million, one hundred three thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 31 40 62 124 155 248 310 620 1240 1367 2734 5468 6835 10936 13670 27340 42377 54680 77479 84754 154958 169508 211885 309916 339016 387395 423770 619832 774790 847540 1549580 1695080 2401849 3099160 4803698 9607396 12009245 19214792 24018490 48036980 96073960 105913793 211827586 423655172 529568965 847310344 1059137930 2118275860 3283327583 4236551720 6566655166 13133310332 16416637915 26266620664 32833275830 65666551660 131333103320