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131231333312240 = 24572472812534821
BaseRepresentation
bin11101110101101010101101…
…000000010110011011110000
3122012122121000020212120200012
4131311222231000112123300
5114200043232311442430
61143034501532114052
736433102530156200
oct3565525500263360
9565577006776605
10131231333312240
11388a5994508597
1212875618005928
13582c0a5534725
1424598b7c44400
151028964e7d695
hex775aad0166f0

131231333312240 has 240 divisors, whose sum is σ = 363768938976384. Its totient is φ = 43879559270400.

The previous prime is 131231333312201. The next prime is 131231333312269. The reversal of 131231333312240 is 42213333132131.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 131231333312197 and 131231333312206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 50504030 + ... + 53038850.

Almost surely, 2131231333312240 is an apocalyptic number.

131231333312240 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 131231333312240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181884469488192).

131231333312240 is an abundant number, since it is smaller than the sum of its proper divisors (232537605664144).

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

131231333312240 is a wasteful number, since it uses less digits than its factorization.

131231333312240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2535176 (or 2535163 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 32.

Adding to 131231333312240 its reverse (42213333132131), we get a palindrome (173444666444371).

The spelling of 131231333312240 in words is "one hundred thirty-one trillion, two hundred thirty-one billion, three hundred thirty-three million, three hundred twelve thousand, two hundred forty".