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132002101000 = 23537111990227
BaseRepresentation
bin111101011101111110…
…0000011011100001000
3110121201110020111212201
41322323330003130020
54130320014213000
6140350235045544
712352064226340
oct1727374033410
9417643214781
10132002101000
1150a88821260
12216bb2a08b4
13c5a8906293
14656334dd20
1536789dd96a
hex1ebbf03708

132002101000 has 256 divisors, whose sum is σ = 405376358400. Its totient is φ = 38977632000.

The previous prime is 132002100977. The next prime is 132002101003. The reversal of 132002101000 is 101200231.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (132002101003) 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, 1417887 + ... + 1508113.

It is an arithmetic number, because the mean of its divisors is an integer number (1583501400).

Almost surely, 2132002101000 is an apocalyptic number.

132002101000 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 132002101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202688179200).

132002101000 is an abundant number, since it is smaller than the sum of its proper divisors (273374257400).

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

132002101000 is a wasteful number, since it uses less digits than its factorization.

132002101000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90285 (or 90271 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 132002101000 its reverse (101200231), we get a palindrome (132103301231).

The spelling of 132002101000 in words is "one hundred thirty-two billion, two million, one hundred one thousand".