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132201023200 = 25524143671399
BaseRepresentation
bin111101100011111001…
…0111000011011100000
3110122020022112210211121
41323013302320123200
54131221430220300
6140422102422024
712360031104421
oct1730762703340
9418208483747
10132201023200
1151080038474
1221755a31914
13c60aba3b1c
146581931648
15368b1d381a
hex1ec7cb86e0

132201023200 has 288 divisors, whose sum is σ = 343590508800. Its totient is φ = 49603276800.

The previous prime is 132201023197. The next prime is 132201023239. The reversal of 132201023200 is 2320102231.

It is a super-2 number, since 2×1322010232002 (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

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, 94496101 + ... + 94497499.

It is an arithmetic number, because the mean of its divisors is an integer number (1193022600).

Almost surely, 2132201023200 is an apocalyptic number.

132201023200 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 132201023200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171795254400).

132201023200 is an abundant number, since it is smaller than the sum of its proper divisors (211389485600).

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

132201023200 is a wasteful number, since it uses less digits than its factorization.

132201023200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1570 (or 1557 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 132201023200 its reverse (2320102231), we get a palindrome (134521125431).

The spelling of 132201023200 in words is "one hundred thirty-two billion, two hundred one million, twenty-three thousand, two hundred".