Search a number
-
+
2131120044320 = 2552910713930881
BaseRepresentation
bin11111000000110000101…
…001110011100100100000
321112201210102100020112212
4133000300221303210200
5234404013212404240
64311004550341252
7306653066330531
oct37006051634440
97481712306485
102131120044320
11751891785883
122a503795a828
13125c6b4b7207
147520a9d4688
153a67e336165
hex1f030a73920

2131120044320 has 192 divisors, whose sum is σ = 5295052425600. Its totient is φ = 809469050880.

The previous prime is 2131120044239. The next prime is 2131120044503. The reversal of 2131120044320 is 234400211312.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 68995280 + ... + 69026160.

It is an arithmetic number, because the mean of its divisors is an integer number (27578398050).

Almost surely, 22131120044320 is an apocalyptic number.

2131120044320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2131120044320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2647526212800).

2131120044320 is an abundant number, since it is smaller than the sum of its proper divisors (3163932381280).

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

2131120044320 is a wasteful number, since it uses less digits than its factorization.

2131120044320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31171 (or 31163 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 2131120044320 its reverse (234400211312), we get a palindrome (2365520255632).

The spelling of 2131120044320 in words is "two trillion, one hundred thirty-one billion, one hundred twenty million, forty-four thousand, three hundred twenty".