Search a number
-
+
320020115242122 = 232411494172902157
BaseRepresentation
bin100100011000011100111110…
…1010010100011110010001010
31112222002121212001210021020100
41020300321331102203302022
5313421202144000221442
63052343113353510230
7124256455533322521
oct11060717522436212
91488077761707210
10320020115242122
1192a718501686a9
122ba86061112376
13109749c8c12889
1459050b03b74b8
1526ee6ce62684c
hex1230e7d4a3c8a

320020115242122 has 48 divisors (see below), whose sum is σ = 710293546944072. Its totient is φ = 104070849815040.

The previous prime is 320020115242031. The next prime is 320020115242159. The reversal of 320020115242122 is 221242511020023.

320020115242122 is a `hidden beast` number, since 3 + 2 + 0 + 0 + 2 + 0 + 11 + 524 + 2 + 122 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 228715382508921 + 91304732733201 = 15123339^2 + 9555351^2 .

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 23 ways as a sum of consecutive naturals, for example, 108818668 + ... + 111720824.

Almost surely, 2320020115242122 is an apocalyptic number.

320020115242122 is an abundant number, since it is smaller than the sum of its proper divisors (390273431701950).

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

320020115242122 is a wasteful number, since it uses less digits than its factorization.

320020115242122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3051623 (or 3051620 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 320020115242122 its reverse (221242511020023), we get a palindrome (541262626262145).

The spelling of 320020115242122 in words is "three hundred twenty trillion, twenty billion, one hundred fifteen million, two hundred forty-two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 41 82 123 246 369 738 149417 298834 448251 896502 1344753 2689506 2902157 5804314 6126097 8706471 12252194 17412942 18378291 26119413 36756582 52238826 55134873 110269746 118988437 237976874 356965311 713930622 1070895933 2141791866 433631592469 867263184938 1300894777407 2601789554814 3902684332221 7805368664442 17778895291229 35557790582458 53336685873687 106673371747374 160010057621061 320020115242122