Search a number
-
+
320202131121 = 321271372044831
BaseRepresentation
bin1001010100011011000…
…10001100011010110001
31010121111102210121202200
410222031202030122301
520221233221143441
6403033202533413
732063623130655
oct4521542143261
91117442717680
10320202131121
11113884834434
1252083067269
132426c358852
14116d8202a65
1584e10557b6
hex4a8d88c6b1

320202131121 has 24 divisors (see below), whose sum is σ = 469558861824. Its totient is φ = 210241241280.

The previous prime is 320202131089. The next prime is 320202131149. The reversal of 320202131121 is 121131202023.

320202131121 is a `hidden beast` number, since 320 + 20 + 213 + 112 + 1 = 666.

It is not a de Polignac number, because 320202131121 - 25 = 320202131089 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 320202131094 and 320202131103.

It is not an unprimeable number, because it can be changed into a prime (320202131521) 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 23 ways as a sum of consecutive naturals, for example, 865825 + ... + 1179006.

It is an arithmetic number, because the mean of its divisors is an integer number (19564952576).

Almost surely, 2320202131121 is an apocalyptic number.

It is an amenable number.

320202131121 is a deficient number, since it is larger than the sum of its proper divisors (149356730703).

320202131121 is a wasteful number, since it uses less digits than its factorization.

320202131121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2045101 (or 2045098 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 320202131121 its reverse (121131202023), we get a palindrome (441333333144).

The spelling of 320202131121 in words is "three hundred twenty billion, two hundred two million, one hundred thirty-one thousand, one hundred twenty-one".

Divisors: 1 3 9 127 137 381 411 1143 1233 17399 52197 156591 2044831 6134493 18403479 259693537 280141847 779080611 840425541 2337241833 2521276623 35578014569 106734043707 320202131121