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131343014220 = 2235111730833797
BaseRepresentation
bin111101001010010100…
…1110101100101001100
3110120000112001102210020
41322110221311211030
54122442302423340
6140201012342140
712326542125465
oct1722451654514
9416015042706
10131343014220
115077a786640
1221556614950
13c5021c02c2
1464dd9c5d6c
15363abed9d0
hex1e94a7594c

131343014220 has 192 divisors, whose sum is σ = 425042505216. Its totient is φ = 29950136320.

The previous prime is 131343014177. The next prime is 131343014227. The reversal of 131343014220 is 22410343131.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (131343014227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 34589362 + ... + 34593158.

It is an arithmetic number, because the mean of its divisors is an integer number (2213763048).

Almost surely, 2131343014220 is an apocalyptic number.

131343014220 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 131343014220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212521252608).

131343014220 is an abundant number, since it is smaller than the sum of its proper divisors (293699490996).

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

131343014220 is a wasteful number, since it uses less digits than its factorization.

131343014220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6920 (or 6918 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 131343014220 its reverse (22410343131), we get a palindrome (153753357351).

The spelling of 131343014220 in words is "one hundred thirty-one billion, three hundred forty-three million, fourteen thousand, two hundred twenty".