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1341210000 = 243541319181
BaseRepresentation
bin100111111110001…
…0011110110010000
310110110201112020110
41033330103312100
510221322210000
6341030441320
745144045144
oct11774236620
93413645213
101341210000
11629094a19
12315203240
13184b364b0
14ca1ab224
157cb30850
hex4ff13d90

1341210000 has 400 divisors, whose sum is σ = 4935170240. Its totient is φ = 311040000.

The previous prime is 1341209993. The next prime is 1341210029. The reversal of 1341210000 is 121431.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (400).

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

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 79 ways as a sum of consecutive naturals, for example, 7409910 + ... + 7410090.

Almost surely, 21341210000 is an apocalyptic number.

1341210000 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 1341210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2467585120).

1341210000 is an abundant number, since it is smaller than the sum of its proper divisors (3593960240).

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

1341210000 is a wasteful number, since it uses less digits than its factorization.

1341210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 1341210000 is about 36622.5340466768. The cubic root of 1341210000 is about 1102.8055107381.

Adding to 1341210000 its reverse (121431), we get a palindrome (1341331431).

The spelling of 1341210000 in words is "one billion, three hundred forty-one million, two hundred ten thousand".