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130211100000 = 253255149971
BaseRepresentation
bin111100101000100101…
…1111011010101100000
3110110002122011020101100
41321101023323111200
54113133020200000
6135452415434400
712256516042152
oct1712113732540
9413078136340
10130211100000
1150249853743
122129b525a00
13c381847287
14643353aad2
1535c1661a00
hex1e512fb560

130211100000 has 432 divisors, whose sum is σ = 466416241200. Its totient is φ = 34454400000.

The previous prime is 130211099983. The next prime is 130211100013. The reversal of 130211100000 is 1112031.

It is a Harshad number since it is a multiple of its sum of digits (9).

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 71 ways as a sum of consecutive naturals, for example, 134099515 + ... + 134100485.

It is an arithmetic number, because the mean of its divisors is an integer number (1079667225).

Almost surely, 2130211100000 is an apocalyptic number.

130211100000 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 130211100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233208120600).

130211100000 is an abundant number, since it is smaller than the sum of its proper divisors (336205141200).

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

130211100000 is an equidigital number, since it uses as much as digits as its factorization.

130211100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1161 (or 1130 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 130211100000 its reverse (1112031), we get a palindrome (130212212031).

The spelling of 130211100000 in words is "one hundred thirty billion, two hundred eleven million, one hundred thousand".