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3141010000 = 24544147163
BaseRepresentation
bin1011101100111000…
…0000001001010000
322002220100211200201
42323032000021100
522413044310000
61235402424544
7140560100362
oct27316001120
98086324621
103141010000
111372022337
12737b02154
133b09864cb
1421b230d32
15135b4996a
hexbb380250

3141010000 has 200 divisors, whose sum is σ = 8004737664. Its totient is φ = 1192320000.

The previous prime is 3141009929. The next prime is 3141010007. The reversal of 3141010000 is 101413.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3141010007) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 19269919 + ... + 19270081.

Almost surely, 23141010000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3141010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4002368832).

3141010000 is an abundant number, since it is smaller than the sum of its proper divisors (4863727664).

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

3141010000 is a wasteful number, since it uses less digits than its factorization.

3141010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 3141010000 is about 56044.7142913585. The cubic root of 3141010000 is about 1464.5013387459.

Adding to 3141010000 its reverse (101413), we get a palindrome (3141111413).

The spelling of 3141010000 in words is "three billion, one hundred forty-one million, ten thousand".