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131141630620 = 2257111324771151
BaseRepresentation
bin111101000100010100…
…1100111101010011100
3110112111111010002102101
41322020221213222130
54122034224134440
6140125020134444
712321545316340
oct1721051475234
9415444102371
10131141630620
1150687039110
12214bb097424
13c49c570300
1464c0d63620
1536281be69a
hex1e88a67a9c

131141630620 has 576 divisors, whose sum is σ = 387604611072. Its totient is φ = 36167040000.

The previous prime is 131141630591. The next prime is 131141630647. The reversal of 131141630620 is 26036141131.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 868487545 + ... + 868487695.

It is an arithmetic number, because the mean of its divisors is an integer number (672924672).

Almost surely, 2131141630620 is an apocalyptic number.

131141630620 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 131141630620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193802305536).

131141630620 is an abundant number, since it is smaller than the sum of its proper divisors (256462980452).

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

131141630620 is a wasteful number, since it uses less digits than its factorization.

131141630620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

Adding to 131141630620 its reverse (26036141131), we get a palindrome (157177771751).

The spelling of 131141630620 in words is "one hundred thirty-one billion, one hundred forty-one million, six hundred thirty thousand, six hundred twenty".