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133033301010 = 23259729352009
BaseRepresentation
bin111101111100101100…
…1110001010000010010
3110201101022121220100200
41323321121301100102
54134423011113020
6141040433200030
712416455254351
oct1737131612022
9421338556320
10133033301010
1151467915075
1221948700016
13c7114486bc
14662029d998
1536d92d4590
hex1ef9671412

133033301010 has 96 divisors (see below), whose sum is σ = 350651836080. Its totient is φ = 34989318144.

The previous prime is 133033300991. The next prime is 133033301059. The reversal of 133033301010 is 10103330331.

133033301010 is a `hidden beast` number, since 1 + 330 + 3 + 330 + 1 + 0 + 1 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 125790099561 + 7243201449 = 354669^2 + 85107^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2531886 + ... + 2583894.

Almost surely, 2133033301010 is an apocalyptic number.

133033301010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 133033301010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175325918040).

133033301010 is an abundant number, since it is smaller than the sum of its proper divisors (217618535070).

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

133033301010 is a wasteful number, since it uses less digits than its factorization.

133033301010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52412 (or 52409 counting only the distinct ones).

The product of its (nonzero) digits is 243, while the sum is 18.

Adding to 133033301010 its reverse (10103330331), we get a palindrome (143136631341).

The spelling of 133033301010 in words is "one hundred thirty-three billion, thirty-three million, three hundred one thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 97 194 291 293 485 582 586 873 879 970 1455 1465 1746 1758 2637 2910 2930 4365 4395 5274 8730 8790 13185 26370 28421 52009 56842 85263 104018 142105 156027 170526 255789 260045 284210 312054 426315 468081 511578 520090 780135 852630 936162 1278945 1560270 2340405 2557890 4680810 5044873 10089746 15134619 15238637 25224365 30269238 30477274 45403857 45715911 50448730 75673095 76193185 90807714 91431822 137147733 151346190 152386370 227019285 228579555 274295466 454038570 457159110 685738665 1371477330 1478147789 2956295578 4434443367 7390738945 8868886734 13303330101 14781477890 22172216835 26606660202 44344433670 66516650505 133033301010