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10100313011 is a prime number
BaseRepresentation
bin10010110100000011…
…01000101110110011
3222001220112001201002
421122001220232303
5131141140004021
64350124432215
7505203146465
oct113201505663
928056461632
1010100313011
1143133aa728
121b5a6a866b
13c4c710599
146bb5d6135
153e1ac550b
hex25a068bb3

10100313011 has 2 divisors, whose sum is σ = 10100313012. Its totient is φ = 10100313010.

The previous prime is 10100312993. The next prime is 10100313029. The reversal of 10100313011 is 11031300101.

It is a happy number.

It is a balanced prime because it is at equal distance from previous prime (10100312993) and next prime (10100313029).

It is an emirp because it is prime and its reverse (11031300101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10100313011 - 218 = 10100050867 is a prime.

It is a super-2 number, since 2×101003130112 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10100312983 and 10100313001.

It is not a weakly prime, because it can be changed into another prime (10100313061) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050156505 + 5050156506.

It is an arithmetic number, because the mean of its divisors is an integer number (5050156506).

Almost surely, 210100313011 is an apocalyptic number.

10100313011 is a deficient number, since it is larger than the sum of its proper divisors (1).

10100313011 is an equidigital number, since it uses as much as digits as its factorization.

10100313011 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 9, while the sum is 11.

Adding to 10100313011 its reverse (11031300101), we get a palindrome (21131613112).

The spelling of 10100313011 in words is "ten billion, one hundred million, three hundred thirteen thousand, eleven".