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132222132000 = 253553719433
BaseRepresentation
bin111101100100100001…
…1011001111100100000
3110122021210021020200000
41323021003121330200
54131242331211000
6140424135100000
712360405402210
oct1731103317440
9418253236600
10132222132000
1151090a45862
1221760b11600
13c612384b3a
146584668240
15368cea3000
hex1ec90d9f20

132222132000 has 576 divisors, whose sum is σ = 556184289024. Its totient is φ = 30220646400.

The previous prime is 132222131989. The next prime is 132222132013. The reversal of 132222132000 is 231222231.

132222132000 is a `hidden beast` number, since 1 + 322 + 2 + 21 + 320 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6794284 + ... + 6813716.

It is an arithmetic number, because the mean of its divisors is an integer number (965597724).

Almost surely, 2132222132000 is an apocalyptic number.

132222132000 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 132222132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278092144512).

132222132000 is an abundant number, since it is smaller than the sum of its proper divisors (423962157024).

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

132222132000 is an equidigital number, since it uses as much as digits as its factorization.

132222132000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19480 (or 19450 counting only the distinct ones).

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

Adding to 132222132000 its reverse (231222231), we get a palindrome (132453354231).

The spelling of 132222132000 in words is "one hundred thirty-two billion, two hundred twenty-two million, one hundred thirty-two thousand".