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132103132398 = 23217191071311621
BaseRepresentation
bin111101100000111110…
…1011101010011101110
3110121222111100102220100
41323001331131103232
54131021400214043
6140404244331530
712354432045456
oct1730175352356
9417874312810
10132103132398
115102a857686
12217290a3ba6
13c5c381b383
14657292cd66
1536827e8cd3
hex1ec1f5d4ee

132103132398 has 192 divisors, whose sum is σ = 324650177280. Its totient is φ = 38575180800.

The previous prime is 132103132393. The next prime is 132103132459. The reversal of 132103132398 is 893231301231.

It is a happy number.

132103132398 is a `hidden beast` number, since 1 + 3 + 210 + 31 + 323 + 98 = 666.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132103132391) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 81494028 + ... + 81495648.

It is an arithmetic number, because the mean of its divisors is an integer number (1690886340).

Almost surely, 2132103132398 is an apocalyptic number.

132103132398 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 132103132398, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162325088640).

132103132398 is an abundant number, since it is smaller than the sum of its proper divisors (192547044882).

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

132103132398 is a wasteful number, since it uses less digits than its factorization.

132103132398 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1903 (or 1900 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The spelling of 132103132398 in words is "one hundred thirty-two billion, one hundred three million, one hundred thirty-two thousand, three hundred ninety-eight".