Search a number
-
+
131321222120 = 2351161101193251
BaseRepresentation
bin111101001001101011…
…0101101001111101000
3110112222000001021122102
41322103112231033220
54122421213101440
6140154513312532
712326155653614
oct1722326551750
9415860037572
10131321222120
1150769451940
122154b265748
13c4ca83027a
1464dab52344
153638d46b15
hex1e935ad3e8

131321222120 has 256 divisors, whose sum is σ = 333901128960. Its totient is φ = 46080000000.

The previous prime is 131321222113. The next prime is 131321222183. The reversal of 131321222120 is 21222123131.

131321222120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 131321222092 and 131321222101.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 523191995 + ... + 523192245.

It is an arithmetic number, because the mean of its divisors is an integer number (1304301285).

Almost surely, 2131321222120 is an apocalyptic number.

131321222120 is a gapful number since it is divisible by the number (10) 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 131321222120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166950564480).

131321222120 is an abundant number, since it is smaller than the sum of its proper divisors (202579906840).

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

131321222120 is a wasteful number, since it uses less digits than its factorization.

131321222120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 628 (or 624 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 131321222120 its reverse (21222123131), we get a palindrome (152543345251).

The spelling of 131321222120 in words is "one hundred thirty-one billion, three hundred twenty-one million, two hundred twenty-two thousand, one hundred twenty".