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132311003220 = 22325113713271361
BaseRepresentation
bin111101100111001011…
…0011011000001010100
3110122111222111101001200
41323032112123001110
54131433104100340
6140441031552500
712362534654034
oct1731626330124
9418458441050
10132311003220
1151127126050
122178682b730
13c627900066
14659239d8c4
153695baa330
hex1ece59b054

132311003220 has 288 divisors, whose sum is σ = 450331854336. Its totient is φ = 31162060800.

The previous prime is 132311003191. The next prime is 132311003267. The reversal of 132311003220 is 22300113231.

132311003220 is a `hidden beast` number, since 1 + 32 + 311 + 0 + 0 + 322 + 0 = 666.

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 = 132311003193 and 132311003202.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 97215340 + ... + 97216700.

It is an arithmetic number, because the mean of its divisors is an integer number (1563652272).

Almost surely, 2132311003220 is an apocalyptic number.

132311003220 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 132311003220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225165927168).

132311003220 is an abundant number, since it is smaller than the sum of its proper divisors (318020851116).

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

132311003220 is a wasteful number, since it uses less digits than its factorization.

132311003220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2751 (or 2746 counting only the distinct ones).

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

Adding to 132311003220 its reverse (22300113231), we get a palindrome (154611116451).

The spelling of 132311003220 in words is "one hundred thirty-two billion, three hundred eleven million, three thousand, two hundred twenty".