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131404322020230 = 233571710741299257
BaseRepresentation
bin11101111000001011110011…
…111011111001101110000110
3122020021010112010122110102000
4131320023303323321232012
5114210412022414121410
61143250151232330130
736451435412006550
oct3570136373715606
9566233463573360
10131404322020230
1138962295093266
12128a30556a3946
1358424b371b37c
1424640087c44d0
15102d1dbd8bdc0
hex7782f3ef9b86

131404322020230 has 512 divisors, whose sum is σ = 428140165017600. Its totient is φ = 27994494468096.

The previous prime is 131404322020121. The next prime is 131404322020277. The reversal of 131404322020230 is 32020223404131.

131404322020230 is a `hidden beast` number, since 1 + 3 + 1 + 4 + 0 + 432 + 20 + 202 + 3 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 131404322020194 and 131404322020203.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 14195125762 + ... + 14195135018.

It is an arithmetic number, because the mean of its divisors is an integer number (836211259800).

Almost surely, 2131404322020230 is an apocalyptic number.

131404322020230 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 131404322020230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214070082508800).

131404322020230 is an abundant number, since it is smaller than the sum of its proper divisors (296735842997370).

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

131404322020230 is a wasteful number, since it uses less digits than its factorization.

131404322020230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13533 (or 13527 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 131404322020230 its reverse (32020223404131), we get a palindrome (163424545424361).

The spelling of 131404322020230 in words is "one hundred thirty-one trillion, four hundred four billion, three hundred twenty-two million, twenty thousand, two hundred thirty".