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133311033020 = 2251113915727767
BaseRepresentation
bin111110000100111110…
…1001110111010111100
3110202002200020011001102
41330021331032322330
54141010111024040
6141124154032232
712426400040564
oct1741175167274
9422080204042
10133311033020
115159a66a260
1221a05718678
13c756b4a979
146649117da4
153703895515
hex1f09f4eebc

133311033020 has 96 divisors (see below), whose sum is σ = 309570992640. Its totient is φ = 47819715840.

The previous prime is 133311032999. The next prime is 133311033047. The reversal of 133311033020 is 20330113331.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 133311032983 and 133311033001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4787177 + ... + 4814943.

It is an arithmetic number, because the mean of its divisors is an integer number (3224697840).

Almost surely, 2133311033020 is an apocalyptic number.

133311033020 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 133311033020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154785496320).

133311033020 is an abundant number, since it is smaller than the sum of its proper divisors (176259959620).

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

133311033020 is a wasteful number, since it uses less digits than its factorization.

133311033020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28083 (or 28081 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 20.

Adding to 133311033020 its reverse (20330113331), we get a palindrome (153641146351).

The spelling of 133311033020 in words is "one hundred thirty-three billion, three hundred eleven million, thirty-three thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 139 157 220 278 314 556 628 695 785 1390 1529 1570 1727 2780 3058 3140 3454 6116 6908 7645 8635 15290 17270 21823 27767 30580 34540 43646 55534 87292 109115 111068 138835 218230 240053 277670 305437 436460 480106 555340 610874 960212 1200265 1221748 1527185 2400530 3054370 3859613 4359419 4801060 6108740 7719226 8718838 15438452 17437676 19298065 21797095 38596130 42455743 43594190 47953609 77192260 84911486 87188380 95907218 169822972 191814436 212278715 239768045 424557430 479536090 605959241 849114860 959072180 1211918482 2423836964 3029796205 6059592410 6665551651 12119184820 13331103302 26662206604 33327758255 66655516510 133311033020