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131211113220 = 2233511197112129
BaseRepresentation
bin111101000110011001…
…0101011001100000100
3110112200022212011122000
41322030302223030010
54122210021110340
6140135541305300
712323351026455
oct1721462531404
9415608764560
10131211113220
1150712286450
122151a405230
13c4b0a8a485
1464ca28d12c
15362e346d30
hex1e8ccab304

131211113220 has 192 divisors, whose sum is σ = 447587078400. Its totient is φ = 31647006720.

The previous prime is 131211113213. The next prime is 131211113221. The reversal of 131211113220 is 22311112131.

131211113220 is a `hidden beast` number, since 131 + 211 + 1 + 1 + 322 + 0 = 666.

131211113220 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 (18).

It is a junction number, because it is equal to n+sod(n) for n = 131211113193 and 131211113202.

It is not an unprimeable number, because it can be changed into a prime (131211113221) 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 63 ways as a sum of consecutive naturals, for example, 1114116 + ... + 1226244.

It is an arithmetic number, because the mean of its divisors is an integer number (2331182700).

Almost surely, 2131211113220 is an apocalyptic number.

131211113220 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 131211113220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223793539200).

131211113220 is an abundant number, since it is smaller than the sum of its proper divisors (316375965180).

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

131211113220 is a wasteful number, since it uses less digits than its factorization.

131211113220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112355 (or 112347 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 131211113220 its reverse (22311112131), we get a palindrome (153522225351).

The spelling of 131211113220 in words is "one hundred thirty-one billion, two hundred eleven million, one hundred thirteen thousand, two hundred twenty".