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132201031320 = 233252295572879
BaseRepresentation
bin111101100011111001…
…0111010011010011000
3110122020022120012222100
41323013302322122120
54131221431000240
6140422102523400
712360031140201
oct1730762723230
9418208505870
10132201031320
1151080043586
1221755a36560
13c60aba7727
1465819345a8
15368b1d5e30
hex1ec7cba698

132201031320 has 192 divisors, whose sum is σ = 432454464000. Its totient is φ = 35024477184.

The previous prime is 132201031297. The next prime is 132201031331. The reversal of 132201031320 is 23130102231.

132201031320 is a `hidden beast` number, since 1 + 322 + 0 + 10 + 313 + 20 = 666.

It is a super-2 number, since 2×1322010313202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 132201031293 and 132201031302.

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, 45917641 + ... + 45920519.

It is an arithmetic number, because the mean of its divisors is an integer number (2252367000).

Almost surely, 2132201031320 is an apocalyptic number.

132201031320 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 132201031320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216227232000).

132201031320 is an abundant number, since it is smaller than the sum of its proper divisors (300253432680).

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

132201031320 is a wasteful number, since it uses less digits than its factorization.

132201031320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3682 (or 3675 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 132201031320 its reverse (23130102231), we get a palindrome (155331133551).

The spelling of 132201031320 in words is "one hundred thirty-two billion, two hundred one million, thirty-one thousand, three hundred twenty".