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132002212320 = 253251137792851
BaseRepresentation
bin111101011101111110…
…0011110100111100000
3110121201110110011120200
41322323330132213200
54130320031243240
6140350241305200
712352065202026
oct1727374364740
9417643404520
10132002212320
1150a88897960
12216bb335200
13c5a8944b54
14656337c716
153678a11930
hex1ebbf1e9e0

132002212320 has 576 divisors, whose sum is σ = 511257277440. Its totient is φ = 30730752000.

The previous prime is 132002212271. The next prime is 132002212327. The reversal of 132002212320 is 23212200231.

132002212320 is a `hidden beast` number, since 1 + 320 + 0 + 2 + 21 + 2 + 320 = 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 = 132002212293 and 132002212302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132002212327) 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 95 ways as a sum of consecutive naturals, for example, 46298895 + ... + 46301745.

It is an arithmetic number, because the mean of its divisors is an integer number (887599440).

Almost surely, 2132002212320 is an apocalyptic number.

132002212320 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 132002212320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255628638720).

132002212320 is an abundant number, since it is smaller than the sum of its proper divisors (379255065120).

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

132002212320 is a wasteful number, since it uses less digits than its factorization.

132002212320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2999 (or 2988 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 132002212320 its reverse (23212200231), we get a palindrome (155214412551).

The spelling of 132002212320 in words is "one hundred thirty-two billion, two million, two hundred twelve thousand, three hundred twenty".