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132102123120 = 243251172722943
BaseRepresentation
bin111101100000111100…
…1100110111001110000
3110121222102110011102200
41323001321212321300
54131021120414440
6140404210543200
712354420343122
oct1730171467160
9417872404380
10132102123120
115102a228370
1221728897b00
13c5c3556b76
146572749212
153682699c30
hex1ec1e66e70

132102123120 has 240 divisors, whose sum is σ = 484660979712. Its totient is φ = 31979312640.

The previous prime is 132102123119. The next prime is 132102123121. The reversal of 132102123120 is 21321201231.

132102123120 is a `hidden beast` number, since 132 + 10 + 212 + 312 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (132102123119) and next prime (132102123121).

It is a tau number, because it is divible by the number of its divisors (240).

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 = 132102123093 and 132102123102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132102123121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5746369 + ... + 5769311.

Almost surely, 2132102123120 is an apocalyptic number.

132102123120 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 132102123120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242330489856).

132102123120 is an abundant number, since it is smaller than the sum of its proper divisors (352558856592).

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

132102123120 is a wasteful number, since it uses less digits than its factorization.

132102123120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23700 (or 23691 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 132102123120 its reverse (21321201231), we get a palindrome (153423324351).

The spelling of 132102123120 in words is "one hundred thirty-two billion, one hundred two million, one hundred twenty-three thousand, one hundred twenty".