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130034230101 = 32291937325717
BaseRepresentation
bin111100100011010100…
…1001110001101010101
3110102122022100022111100
41321012221032031111
54112302230330401
6135423100500313
712252240501366
oct1710651161525
9412568308440
10130034230101
1150168a29776
122125024a699
13c353ccb029
146417c59b6d
1535b0d75b86
hex1e46a4e355

130034230101 has 24 divisors (see below), whose sum is σ = 194321607480. Its totient is φ = 83692619136.

The previous prime is 130034230099. The next prime is 130034230121. The reversal of 130034230101 is 101032430031.

130034230101 is a `hidden beast` number, since 1 + 300 + 34 + 230 + 101 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 14842548900 + 115191681201 = 121830^2 + 339399^2 .

It is not a de Polignac number, because 130034230101 - 21 = 130034230099 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130034230121) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 5043495 + ... + 5069211.

It is an arithmetic number, because the mean of its divisors is an integer number (8096733645).

Almost surely, 2130034230101 is an apocalyptic number.

It is an amenable number.

130034230101 is a deficient number, since it is larger than the sum of its proper divisors (64287377379).

130034230101 is a wasteful number, since it uses less digits than its factorization.

130034230101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45125 (or 45122 counting only the distinct ones).

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

Adding to 130034230101 its reverse (101032430031), we get a palindrome (231066660132).

The spelling of 130034230101 in words is "one hundred thirty billion, thirty-four million, two hundred thirty thousand, one hundred one".

Divisors: 1 3 9 29 87 261 19373 25717 58119 77151 174357 231453 561817 745793 1685451 2237379 5056353 6712137 498215441 1494646323 4483938969 14448247789 43344743367 130034230101