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100001011181 is a prime number
BaseRepresentation
bin101110100100010000…
…1100101010111101101
3100120010020112201022212
41131020201211113231
53114300224324211
6113535000420205
710140055366361
oct1351041452755
9316106481285
10100001011181
1139456a66895
121746a177665
139578aa4a86
144ba92452a1
15290438938b
hex17488655ed

100001011181 has 2 divisors, whose sum is σ = 100001011182. Its totient is φ = 100001011180.

The previous prime is 100001011169. The next prime is 100001011207. The reversal of 100001011181 is 181110100001.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 81085410025 + 18915601156 = 284755^2 + 137534^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-100001011181 is a prime.

It is a super-2 number, since 2×1000010111812 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100001011381) 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 as a sum of consecutive naturals, namely, 50000505590 + 50000505591.

It is an arithmetic number, because the mean of its divisors is an integer number (50000505591).

Almost surely, 2100001011181 is an apocalyptic number.

It is an amenable number.

100001011181 is a deficient number, since it is larger than the sum of its proper divisors (1).

100001011181 is an equidigital number, since it uses as much as digits as its factorization.

100001011181 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 100001011181 its reverse (181110100001), we get a palindrome (281111111182).

The spelling of 100001011181 in words is "one hundred billion, one million, eleven thousand, one hundred eighty-one".