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3130129800 = 23325272231543
BaseRepresentation
bin1011101010010001…
…1111110110001000
322002010220001212100
42322210133312020
522402303123200
61234333313400
7140365443600
oct27244376610
98063801770
103130129800
111366970936
12734335860
133ab647115
142199dbc00
15134bead00
hexba91fd88

3130129800 has 432 divisors, whose sum is σ = 12768200640. Its totient is φ = 683907840.

The previous prime is 3130129753. The next prime is 3130129813. The reversal of 3130129800 is 89210313.

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 107 ways as a sum of consecutive naturals, for example, 2027829 + ... + 2029371.

It is an arithmetic number, because the mean of its divisors is an integer number (29556020).

Almost surely, 23130129800 is an apocalyptic number.

3130129800 is a gapful number since it is divisible by the number (30) 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 3130129800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6384100320).

3130129800 is an abundant number, since it is smaller than the sum of its proper divisors (9638070840).

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

3130129800 is a wasteful number, since it uses less digits than its factorization.

3130129800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1602 (or 1583 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 3130129800 is about 55947.5629496049. The cubic root of 3130129800 is about 1462.8084118368.

The spelling of 3130129800 in words is "three billion, one hundred thirty million, one hundred twenty-nine thousand, eight hundred".