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131131121020 = 22515143420901
BaseRepresentation
bin111101000100000000…
…1100001110101111100
3110112110202100010221221
41322020001201311330
54122024031333040
6140124003003124
712321360065164
oct1721001416574
9415422303857
10131131121020
1150681110099
12214b76694a4
13c49a330803
1464bd7c95a4
1536272e574a
hex1e88061d7c

131131121020 has 24 divisors (see below), whose sum is σ = 277199038368. Its totient is φ = 52105080000.

The previous prime is 131131120973. The next prime is 131131121029. The reversal of 131131121020 is 20121131131.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 131131120985 and 131131121003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131131121029) 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 7 ways as a sum of consecutive naturals, for example, 21707431 + ... + 21713470.

It is an arithmetic number, because the mean of its divisors is an integer number (11549959932).

Almost surely, 2131131121020 is an apocalyptic number.

131131121020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131131121020 is an abundant number, since it is smaller than the sum of its proper divisors (146067917348).

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

131131121020 is a wasteful number, since it uses less digits than its factorization.

131131121020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43421061 (or 43421059 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 131131121020 its reverse (20121131131), we get a palindrome (151252252151).

It can be divided in two parts, 1311311 and 21020, that added together give a palindrome (1332331).

The spelling of 131131121020 in words is "one hundred thirty-one billion, one hundred thirty-one million, one hundred twenty-one thousand, twenty".

Divisors: 1 2 4 5 10 20 151 302 604 755 1510 3020 43420901 86841802 173683604 217104505 434209010 868418020 6556556051 13113112102 26226224204 32782780255 65565560510 131131121020