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4130217000 = 233353713412
BaseRepresentation
bin1111011000101110…
…0001110000101000
3101122211201202121000
43312023201300220
531424313421000
61521500515000
7204231156660
oct36613416050
911584652530
104130217000
11182a444188
1297324ba60
1350a8b4bb0
142b276d1a0
151928e8000
hexf62e1c28

4130217000 has 768 divisors, whose sum is σ = 18062553600. Its totient is φ = 850176000.

The previous prime is 4130216971. The next prime is 4130217011. The reversal of 4130217000 is 7120314.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 100736980 + ... + 100737020.

It is an arithmetic number, because the mean of its divisors is an integer number (23518950).

Almost surely, 24130217000 is an apocalyptic number.

4130217000 is a gapful number since it is divisible by the number (40) 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 4130217000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9031276800).

4130217000 is an abundant number, since it is smaller than the sum of its proper divisors (13932336600).

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

4130217000 is a wasteful number, since it uses less digits than its factorization.

4130217000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 4130217000 is about 64266.7643498566. The cubic root of 4130217000 is about 1604.4429895243.

Adding to 4130217000 its reverse (7120314), we get a palindrome (4137337314).

The spelling of 4130217000 in words is "four billion, one hundred thirty million, two hundred seventeen thousand".