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1001301100181 is a prime number
BaseRepresentation
bin11101001001000100011…
…00100100011010010101
310112201112101200011101122
432210202030210122111
5112401131040201211
62043554045333325
7132225113631014
oct16444214443225
93481471604348
101001301100181
113567164047a8
12142085867245
13735649ca4c5
143666b172a7b
151b0a5ac26db
hexe922324695

1001301100181 has 2 divisors, whose sum is σ = 1001301100182. Its totient is φ = 1001301100180.

The previous prime is 1001301100153. The next prime is 1001301100207. The reversal of 1001301100181 is 1810011031001.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 662034459025 + 339266641156 = 813655^2 + 582466^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1001301100181 is a prime.

It is a super-2 number, since 2×10013011001812 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1001391100181) 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, 500650550090 + 500650550091.

It is an arithmetic number, because the mean of its divisors is an integer number (500650550091).

Almost surely, 21001301100181 is an apocalyptic number.

It is an amenable number.

1001301100181 is a deficient number, since it is larger than the sum of its proper divisors (1).

1001301100181 is an equidigital number, since it uses as much as digits as its factorization.

1001301100181 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24, while the sum is 17.

Adding to 1001301100181 its reverse (1810011031001), we get a palindrome (2811312131182).

The spelling of 1001301100181 in words is "one trillion, one billion, three hundred one million, one hundred thousand, one hundred eighty-one".