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330233313220100 = 22527717427929653
BaseRepresentation
bin100101100010110000110111…
…1010100111101011000000100
31121022020222220101121221202022
41023011201233110331120010
5321241020311141020400
63130203031215302312
7126362366231625053
oct11305415724753004
91538228811557668
10330233313220100
119624a18616a034
123105551851a998
1311235b38788a94
145b7954036a39a
15282a1d64eab85
hex12c586f53d604

330233313220100 has 36 divisors (see below), whose sum is σ = 716699152097124. Its totient is φ = 132076207793280.

The previous prime is 330233313220093. The next prime is 330233313220127. The reversal of 330233313220100 is 1022313332033.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 4867909719556 + 325365403500544 = 2206334^2 + 18037888^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 330233313220100.

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 11 ways as a sum of consecutive naturals, for example, 213193127 + ... + 214736526.

Almost surely, 2330233313220100 is an apocalyptic number.

It is an amenable number.

330233313220100 is an abundant number, since it is smaller than the sum of its proper divisors (386465838877024).

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

330233313220100 is a wasteful number, since it uses less digits than its factorization.

330233313220100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427937384 (or 427937377 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 26.

Adding to 330233313220100 its reverse (1022313332033), we get a palindrome (331255626552133).

The spelling of 330233313220100 in words is "three hundred thirty trillion, two hundred thirty-three billion, three hundred thirteen million, two hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 7717 15434 30868 38585 77170 154340 192925 385850 771700 427929653 855859306 1711718612 2139648265 4279296530 8558593060 10698241325 21396482650 42792965300 3302333132201 6604666264402 13209332528804 16511665661005 33023331322010 66046662644020 82558328305025 165116656610050 330233313220100