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221201330130 = 2325111967175519
BaseRepresentation
bin1100111000000010100…
…0000110111111010010
3210010221220022211212200
43032000220012333102
512111010020031010
6245341332104030
721660401166054
oct3160050067722
9703856284780
10221201330130
11858a1425340
1236a53a65016
1317b22865831
14a9c5b618d4
155b498decc0
hex3380a06fd2

221201330130 has 192 divisors, whose sum is σ = 670289817600. Its totient is φ = 50043692160.

The previous prime is 221201330107. The next prime is 221201330131. The reversal of 221201330130 is 31033102122.

221201330130 is a `hidden beast` number, since 2 + 2 + 1 + 201 + 330 + 130 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (221201330131) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 1172511 + ... + 1348029.

It is an arithmetic number, because the mean of its divisors is an integer number (3491092800).

Almost surely, 2221201330130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221201330130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335144908800).

221201330130 is an abundant number, since it is smaller than the sum of its proper divisors (449088487470).

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

221201330130 is a wasteful number, since it uses less digits than its factorization.

221201330130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175629 (or 175626 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 221201330130 its reverse (31033102122), we get a palindrome (252234432252).

The spelling of 221201330130 in words is "two hundred twenty-one billion, two hundred one million, three hundred thirty thousand, one hundred thirty".