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132101213200 = 245211173535003
BaseRepresentation
bin111101100000111011…
…0001000110000010000
3110121222100201221020221
41323001312020300100
54131020402310300
6140404135242424
712354406533235
oct1730166106020
9417870657227
10132101213200
1151029766770
1221728519414
13c5c32c8958
14657258d78c
15368256a31a
hex1ec1d88c10

132101213200 has 240 divisors, whose sum is σ = 367703447616. Its totient is φ = 45074022400.

The previous prime is 132101213119. The next prime is 132101213249. The reversal of 132101213200 is 2312101231.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26401899 + ... + 26406901.

Almost surely, 2132101213200 is an apocalyptic number.

132101213200 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 132101213200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183851723808).

132101213200 is an abundant number, since it is smaller than the sum of its proper divisors (235602234416).

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

132101213200 is a wasteful number, since it uses less digits than its factorization.

132101213200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5402 (or 5391 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 132101213200 its reverse (2312101231), we get a palindrome (134413314431).

The spelling of 132101213200 in words is "one hundred thirty-two billion, one hundred one million, two hundred thirteen thousand, two hundred".