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132103101300 = 2235223127233647
BaseRepresentation
bin111101100000111110…
…1010101101101110100
3110121222111021212020120
41323001331111231310
54131021343220200
6140404243531540
712354431556012
oct1730175255564
9417874255216
10132103101300
115102a836285
1221729089bb0
13c5c380a181
1465729218b2
1536827de9a0
hex1ec1f55b74

132103101300 has 288 divisors, whose sum is σ = 404326121472. Its totient is φ = 33235614720.

The previous prime is 132103101289. The next prime is 132103101337. The reversal of 132103101300 is 3101301231.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 132103101300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 204177577 + ... + 204178223.

It is an arithmetic number, because the mean of its divisors is an integer number (1403910144).

Almost surely, 2132103101300 is an apocalyptic number.

132103101300 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 132103101300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202163060736).

132103101300 is an abundant number, since it is smaller than the sum of its proper divisors (272223020172).

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

132103101300 is a wasteful number, since it uses less digits than its factorization.

132103101300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1047 (or 1040 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 132103101300 its reverse (3101301231), we get a palindrome (135204402531).

The spelling of 132103101300 in words is "one hundred thirty-two billion, one hundred three million, one hundred one thousand, three hundred".