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132310302120 = 23355103132157
BaseRepresentation
bin111101100111001001…
…1101111110110101000
3110122111221011202100000
41323032103233312220
54131432414131440
6140441004543000
712362526004023
oct1731623576650
9418457152300
10132310302120
1151126797327
1221786551a60
13c627715bc9
14659225a1ba
153695abc730
hex1ece4efda8

132310302120 has 192 divisors, whose sum is σ = 450267592320. Its totient is φ = 34939931904.

The previous prime is 132310302083. The next prime is 132310302127. The reversal of 132310302120 is 21203013231.

132310302120 is a `hidden beast` number, since 1 + 32 + 310 + 302 + 1 + 20 = 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 = 132310302093 and 132310302102.

It is not an unprimeable number, because it can be changed into a prime (132310302127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 935082 + ... + 1067238.

It is an arithmetic number, because the mean of its divisors is an integer number (2345143710).

Almost surely, 2132310302120 is an apocalyptic number.

132310302120 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 132310302120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225133796160).

132310302120 is an abundant number, since it is smaller than the sum of its proper divisors (317957290200).

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

132310302120 is a wasteful number, since it uses less digits than its factorization.

132310302120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132286 (or 132270 counting only the distinct ones).

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

Adding to 132310302120 its reverse (21203013231), we get a palindrome (153513315351).

The spelling of 132310302120 in words is "one hundred thirty-two billion, three hundred ten million, three hundred two thousand, one hundred twenty".