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130030210000 = 245437457769
BaseRepresentation
bin111100100011001100…
…1111000101111010000
3110102122000210001221201
41321012121320233100
54112300213210000
6135422434400544
712252161356105
oct1710631705720
9412560701851
10130030210000
1150166733379
122124aa30154
13c353221282
1464174d0aac
1535b082e96a
hex1e46678bd0

130030210000 has 200 divisors, whose sum is σ = 324453547880. Its totient is φ = 50429952000.

The previous prime is 130030209961. The next prime is 130030210031. The reversal of 130030210000 is 12030031.

It can be written as a sum of positive squares in 20 ways, for example, as 101648742976 + 28381467024 = 318824^2 + 168468^2 .

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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 169089616 + ... + 169090384.

Almost surely, 2130030210000 is an apocalyptic number.

130030210000 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 130030210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162226773940).

130030210000 is an abundant number, since it is smaller than the sum of its proper divisors (194423337880).

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

130030210000 is an equidigital number, since it uses as much as digits as its factorization.

130030210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1291 (or 1270 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 10.

Adding to 130030210000 its reverse (12030031), we get a palindrome (130042240031).

The spelling of 130030210000 in words is "one hundred thirty billion, thirty million, two hundred ten thousand".