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131120201444232 = 2337111327491985407
BaseRepresentation
bin11101110100000011001101…
…000001111010101110001000
3122012020222011021122202021210
4131310003031001322232020
5114141233133032203412
61142511442230333120
736422056552654050
oct3564031501725610
9565228137582253
10131120201444232
1138862846467280
1212857b821ba1a0
1358217746a9850
1424543745c8560
151025b0d80783c
hex7740cd07ab88

131120201444232 has 256 divisors, whose sum is σ = 440284078080000. Its totient is φ = 31425959162880.

The previous prime is 131120201444231. The next prime is 131120201444273. The reversal of 131120201444232 is 232444102021131.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 131120201444232.

It is not an unprimeable number, because it can be changed into a prime (131120201444231) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 65049273 + ... + 67034679.

It is an arithmetic number, because the mean of its divisors is an integer number (1719859680000).

Almost surely, 2131120201444232 is an apocalyptic number.

131120201444232 is a gapful number since it is divisible by the number (12) 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 131120201444232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220142039040000).

131120201444232 is an abundant number, since it is smaller than the sum of its proper divisors (309163876635768).

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

131120201444232 is a wasteful number, since it uses less digits than its factorization.

131120201444232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1988196 (or 1988192 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 131120201444232 its reverse (232444102021131), we get a palindrome (363564303465363).

The spelling of 131120201444232 in words is "one hundred thirty-one trillion, one hundred twenty billion, two hundred one million, four hundred forty-four thousand, two hundred thirty-two".