Search a number
-
+
331331424220242 = 23273252154812953
BaseRepresentation
bin100101101010110000001101…
…1110101111111010001010010
31121110010222022122012120211100
41023111200123311333101102
5321412013224100021432
63132403315513125230
7126534622365256305
oct11325403365772122
91543128278176740
10331331424220242
11966329601a8516
12311b22bb6b9816
13112b555b0b2354
145bb67529d0b3c
152848a5621307c
hex12d581bd7f452

331331424220242 has 24 divisors (see below), whose sum is σ = 727718790185244. Its totient is φ = 108930879195264.

The previous prime is 331331424220231. The next prime is 331331424220333. The reversal of 331331424220242 is 242022424133133.

331331424220242 is a `hidden beast` number, since 3 + 3 + 1 + 3 + 3 + 1 + 424 + 220 + 2 + 4 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 292726811966121 + 38604612254121 = 17109261^2 + 6213261^2 .

It is a junction number, because it is equal to n+sod(n) for n = 331331424220197 and 331331424220206.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 126077405163 + ... + 126077407790.

Almost surely, 2331331424220242 is an apocalyptic number.

331331424220242 is an abundant number, since it is smaller than the sum of its proper divisors (396387365965002).

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

331331424220242 is a wasteful number, since it uses less digits than its factorization.

331331424220242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252154813034 (or 252154813031 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

Adding to 331331424220242 its reverse (242022424133133), we get a palindrome (573353848353375).

The spelling of 331331424220242 in words is "three hundred thirty-one trillion, three hundred thirty-one billion, four hundred twenty-four million, two hundred twenty thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 18 73 146 219 438 657 1314 252154812953 504309625906 756464438859 1512928877718 2269393316577 4538786633154 18407301345569 36814602691138 55221904036707 110443808073414 165665712110121 331331424220242