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1100030312113 is a prime number
BaseRepresentation
bin10000000000011110111…
…010100111111010110001
310220011101000002210010121
4100000132322213322301
5121010330224441423
62201202535130241
7142321530243025
oct20003672477261
93804330083117
101100030312113
1139457a484a27
12159239b13981
137c96a15c335
143b355518385
151d93348c45d
hex1001eea7eb1

1100030312113 has 2 divisors, whose sum is σ = 1100030312114. Its totient is φ = 1100030312112.

The previous prime is 1100030312111. The next prime is 1100030312159. The reversal of 1100030312113 is 3112130300011.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 565401732624 + 534628579489 = 751932^2 + 731183^2 .

It is a cyclic number.

It is not a de Polignac number, because 1100030312113 - 21 = 1100030312111 is a prime.

It is a super-3 number, since 3×11000303121133 (a number of 37 digits) contains 333 as substring.

Together with 1100030312111, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (1100030312111) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 550015156056 + 550015156057.

It is an arithmetic number, because the mean of its divisors is an integer number (550015156057).

Almost surely, 21100030312113 is an apocalyptic number.

It is an amenable number.

1100030312113 is a deficient number, since it is larger than the sum of its proper divisors (1).

1100030312113 is an equidigital number, since it uses as much as digits as its factorization.

1100030312113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 1100030312113 its reverse (3112130300011), we get a palindrome (4212160612124).

The spelling of 1100030312113 in words is "one trillion, one hundred billion, thirty million, three hundred twelve thousand, one hundred thirteen".