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105011430001 is a prime number
BaseRepresentation
bin110000111001100101…
…0110100001001110001
3101001001102112100211021
41201303022310021301
53210030411230001
6120124103215441
710405165266412
oct1416312641161
9331042470737
10105011430001
114059823a695
1218428147581
139b96b40a3a
145122859809
152ae919cba1
hex18732b4271

105011430001 has 2 divisors, whose sum is σ = 105011430002. Its totient is φ = 105011430000.

The previous prime is 105011429951. The next prime is 105011430047. The reversal of 105011430001 is 100034110501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 54079967601 + 50931462400 = 232551^2 + 225680^2 .

It is a cyclic number.

It is not a de Polignac number, because 105011430001 - 229 = 104474559089 is a prime.

It is a super-2 number, since 2×1050114300012 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105011430091) 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 as a sum of consecutive naturals, namely, 52505715000 + 52505715001.

It is an arithmetic number, because the mean of its divisors is an integer number (52505715001).

Almost surely, 2105011430001 is an apocalyptic number.

It is an amenable number.

105011430001 is a deficient number, since it is larger than the sum of its proper divisors (1).

105011430001 is an equidigital number, since it uses as much as digits as its factorization.

105011430001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 60, while the sum is 16.

Adding to 105011430001 its reverse (100034110501), we get a palindrome (205045540502).

The spelling of 105011430001 in words is "one hundred five billion, eleven million, four hundred thirty thousand, one".