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2000110202113 is a prime number
BaseRepresentation
bin11101000110101111110…
…110111010110100000001
321002012122010012200211211
4131012233312322310001
5230232211202431423
64130500555010121
7264334411131022
oct35065766726401
97065563180754
102000110202113
11701273080311
12283774a39941
131167c033a71a
146cb3d378c49
15370629ea10d
hex1d1afdbad01

2000110202113 has 2 divisors, whose sum is σ = 2000110202114. Its totient is φ = 2000110202112.

The previous prime is 2000110202081. The next prime is 2000110202203. The reversal of 2000110202113 is 3112020110002.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1900460759184 + 99649442929 = 1378572^2 + 315673^2 .

It is a cyclic number.

It is not a de Polignac number, because 2000110202113 - 25 = 2000110202081 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2000110202093 and 2000110202102.

It is not a weakly prime, because it can be changed into another prime (2000110202813) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1000055101056 + 1000055101057.

It is an arithmetic number, because the mean of its divisors is an integer number (1000055101057).

Almost surely, 22000110202113 is an apocalyptic number.

It is an amenable number.

2000110202113 is a deficient number, since it is larger than the sum of its proper divisors (1).

2000110202113 is an equidigital number, since it uses as much as digits as its factorization.

2000110202113 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 13.

Adding to 2000110202113 its reverse (3112020110002), we get a palindrome (5112130312115).

The spelling of 2000110202113 in words is "two trillion, one hundred ten million, two hundred two thousand, one hundred thirteen".