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131230312020 = 22325231011571999
BaseRepresentation
bin111101000110111101…
…1111010011001010100
3110112201122222120102200
41322031323322121110
54122224424441040
6140141505004500
712324003150603
oct1721573723124
9415648876380
10131230312020
11507220a9825
1221524923730
13c4b4a50002
1464cca49a3a
153630d8a630
hex1e8defa654

131230312020 has 288 divisors, whose sum is σ = 422368128000. Its totient is φ = 32914252800.

The previous prime is 131230312007. The next prime is 131230312021. The reversal of 131230312020 is 20213032131.

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 = 131230311984 and 131230312002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131230312021) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 65646981 + ... + 65648979.

It is an arithmetic number, because the mean of its divisors is an integer number (1466556000).

Almost surely, 2131230312020 is an apocalyptic number.

131230312020 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 131230312020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211184064000).

131230312020 is an abundant number, since it is smaller than the sum of its proper divisors (291137815980).

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

131230312020 is a wasteful number, since it uses less digits than its factorization.

131230312020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2295 (or 2290 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 131230312020 its reverse (20213032131), we get a palindrome (151443344151).

The spelling of 131230312020 in words is "one hundred thirty-one billion, two hundred thirty million, three hundred twelve thousand, twenty".