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1332210000 = 24354112367
BaseRepresentation
bin100111101100111…
…1110100101010000
310102211210021120010
41033121332211100
510212021210000
6340105514520
745004412112
oct11731764520
93384707503
101332210000
11623aa8100
123121a2a40
13183004b54
14c8d073b2
157be53d50
hex4f67e950

1332210000 has 300 divisors, whose sum is σ = 4739932736. Its totient is φ = 322080000.

The previous prime is 1332209999. The next prime is 1332210013. The reversal of 1332210000 is 122331.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (300).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 3629817 + ... + 3630183.

Almost surely, 21332210000 is an apocalyptic number.

1332210000 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 1332210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2369966368).

1332210000 is an abundant number, since it is smaller than the sum of its proper divisors (3407722736).

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

1332210000 is a wasteful number, since it uses less digits than its factorization.

1332210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 1332210000 is about 36499.4520506815. The cubic root of 1332210000 is about 1100.3332323742. Note that the first 3 decimals are identical.

Adding to 1332210000 its reverse (122331), we get a palindrome (1332332331).

The spelling of 1332210000 in words is "one billion, three hundred thirty-two million, two hundred ten thousand".