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132013302120 = 233357171027181
BaseRepresentation
bin111101011110010011…
…0110010000101101000
3110121202020022120221000
41322330212302011220
54130330401131440
6140351315115000
712352261360560
oct1727446620550
9417666276830
10132013302120
1150a94081887
1221702ba2a60
13c5ab02876b
146564a27da0
1536799a2730
hex1ebc9b2168

132013302120 has 256 divisors, whose sum is σ = 532491148800. Its totient is φ = 28399472640.

The previous prime is 132013302079. The next prime is 132013302121. The reversal of 132013302120 is 21203310231.

132013302120 is a `hidden beast` number, since 1 + 320 + 1 + 330 + 2 + 12 + 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 = 132013302093 and 132013302102.

It is not an unprimeable number, because it can be changed into a prime (132013302121) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 385071 + ... + 642110.

It is an arithmetic number, because the mean of its divisors is an integer number (2080043550).

Almost surely, 2132013302120 is an apocalyptic number.

132013302120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132013302120 is an abundant number, since it is smaller than the sum of its proper divisors (400477846680).

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

132013302120 is a wasteful number, since it uses less digits than its factorization.

132013302120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1027225 (or 1027215 counting only the distinct ones).

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

Adding to 132013302120 its reverse (21203310231), we get a palindrome (153216612351).

The spelling of 132013302120 in words is "one hundred thirty-two billion, thirteen million, three hundred two thousand, one hundred twenty".