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331230233106 = 23226209702113
BaseRepresentation
bin1001101000111101101…
…11000100001000010010
31011122222000010020200100
410310132313010020102
520411324414424411
6412055353233230
732634123345543
oct4643667041022
91148860106610
10331230233106
11118523916703
1254240402816
1325309042296
1412062b0a4ca
1589392e6456
hex4d1edc4212

331230233106 has 24 divisors (see below), whose sum is σ = 717693909660. Its totient is φ = 110405707776.

The previous prime is 331230233101. The next prime is 331230233107. The reversal of 331230233106 is 601332032133.

It is a happy number.

331230233106 is a `hidden beast` number, since 3 + 312 + 30 + 2 + 3 + 310 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 265937207481 + 65293025625 = 515691^2 + 255525^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 331230233106.

It is not an unprimeable number, because it can be changed into a prime (331230233101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 120706 + ... + 822818.

Almost surely, 2331230233106 is an apocalyptic number.

331230233106 is an abundant number, since it is smaller than the sum of its proper divisors (386463676554).

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

331230233106 is a wasteful number, since it uses less digits than its factorization.

331230233106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 728330 (or 728327 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 331230233106 its reverse (601332032133), we get a palindrome (932562265239).

The spelling of 331230233106 in words is "three hundred thirty-one billion, two hundred thirty million, two hundred thirty-three thousand, one hundred six".

Divisors: 1 2 3 6 9 18 26209 52418 78627 157254 235881 471762 702113 1404226 2106339 4212678 6319017 12638034 18401679617 36803359234 55205038851 110410077702 165615116553 331230233106