Search a number
-
+
303333400040301 = 3410291133638917
BaseRepresentation
bin100010011111000010100111…
…1100011101101001101101101
31110210000101112012012201220000
41010332011033203231031231
5304224303300402242201
62553045235031414513
7120615054266351361
oct10476051743551555
91423011465181800
10303333400040301
1188718a7748a094
122a030065b24439
13100342a8666977
1454c95b46972a1
1525105e7aeed86
hex113e14f8ed36d

303333400040301 has 20 divisors (see below), whose sum is σ = 453128236496892. Its totient is φ = 202222014619968.

The previous prime is 303333400040117. The next prime is 303333400040329. The reversal of 303333400040301 is 103040004333303.

It can be written as a sum of positive squares in 2 ways, for example, as 259913273574276 + 43420126466025 = 16121826^2 + 6589395^2 .

It is not a de Polignac number, because 303333400040301 - 237 = 303195961086829 is a prime.

It is a super-2 number, since 2×3033334000403012 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (303333400050301) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 81538695 + ... + 85177611.

Almost surely, 2303333400040301 is an apocalyptic number.

It is an amenable number.

303333400040301 is a deficient number, since it is larger than the sum of its proper divisors (149794836456591).

303333400040301 is a wasteful number, since it uses less digits than its factorization.

303333400040301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4668042 (or 4668033 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 27.

Adding to 303333400040301 its reverse (103040004333303), we get a palindrome (406373404373604).

The spelling of 303333400040301 in words is "three hundred three trillion, three hundred thirty-three billion, four hundred million, forty thousand, three hundred one".

Divisors: 1 3 9 27 81 1029113 3087339 3638917 9262017 10916751 27786051 32750253 83358153 98250759 294752277 3744856790621 11234570371863 33703711115589 101111133346767 303333400040301