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1330212000 = 25353138527
BaseRepresentation
bin100111101001001…
…0110110010100000
310102201000202211010
41033102112302200
510211013241000
6335555020520
744651421045
oct11722266240
93381022733
101330212000
11622962a67
1231159a740
131827855c0
14c89471cc
157bbabd50
hex4f496ca0

1330212000 has 192 divisors, whose sum is σ = 4693538304. Its totient is φ = 327398400.

The previous prime is 1330211989. The next prime is 1330212017. The reversal of 1330212000 is 2120331.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 151737 + ... + 160263.

It is an arithmetic number, because the mean of its divisors is an integer number (24445512).

Almost surely, 21330212000 is an apocalyptic number.

1330212000 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 1330212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2346769152).

1330212000 is an abundant number, since it is smaller than the sum of its proper divisors (3363326304).

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

1330212000 is a wasteful number, since it uses less digits than its factorization.

1330212000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8568 (or 8550 counting only the distinct ones).

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

The square root of 1330212000 is about 36472.0715068393. The cubic root of 1330212000 is about 1099.7828772564.

Adding to 1330212000 its reverse (2120331), we get a palindrome (1332332331).

The spelling of 1330212000 in words is "one billion, three hundred thirty million, two hundred twelve thousand".