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130221300000 = 253551139461
BaseRepresentation
bin111100101000111001…
…0110101100100100000
3110110010100100110011010
41321101302311210200
54113143123100000
6135453422220520
712260001533601
oct1712162654440
9413110313133
10130221300000
11502545900a0
12212a2a24740
13c3839a8b8c
146434a33da8
1535c24c8d50
hex1e51cb5920

130221300000 has 288 divisors, whose sum is σ = 466115041728. Its totient is φ = 31568000000.

The previous prime is 130221299993. The next prime is 130221300037. The reversal of 130221300000 is 3122031.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

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 47 ways as a sum of consecutive naturals, for example, 3280270 + ... + 3319730.

It is an arithmetic number, because the mean of its divisors is an integer number (1618455006).

Almost surely, 2130221300000 is an apocalyptic number.

130221300000 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 130221300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233057520864).

130221300000 is an abundant number, since it is smaller than the sum of its proper divisors (335893741728).

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

130221300000 is an equidigital number, since it uses as much as digits as its factorization.

130221300000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39510 (or 39482 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 130221300000 its reverse (3122031), we get a palindrome (130224422031).

The spelling of 130221300000 in words is "one hundred thirty billion, two hundred twenty-one million, three hundred thousand".