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11301010101 = 321255667789
BaseRepresentation
bin10101000011001011…
…11011101010110101
31002011120211210110200
422201211323222311
5141121024310401
65105215511113
7550023000213
oct124145735265
932146753420
1011301010101
11487a142177
122234828499
1310b13ba134
14792c67cb3
154621ec686
hex2a197bab5

11301010101 has 6 divisors (see below), whose sum is σ = 16323681270. Its totient is φ = 7534006728.

The previous prime is 11301010093. The next prime is 11301010153. The reversal of 11301010101 is 10101010311.

It can be written as a sum of positive squares in only one way, i.e., 10608794001 + 692216100 = 102999^2 + 26310^2 .

It is not a de Polignac number, because 11301010101 - 23 = 11301010093 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 1255667789 = 11301010101 / (1 + 1 + 3 + 0 + 1 + 0 + 1 + 0 + 1 + 0 + 1).

11301010101 is a modest number, since divided by 1010101 gives 113 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11301011101) 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 in 5 ways as a sum of consecutive naturals, for example, 627833886 + ... + 627833903.

It is an arithmetic number, because the mean of its divisors is an integer number (2720613545).

Almost surely, 211301010101 is an apocalyptic number.

It is an amenable number.

11301010101 is a deficient number, since it is larger than the sum of its proper divisors (5022671169).

11301010101 is a wasteful number, since it uses less digits than its factorization.

11301010101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1255667795 (or 1255667792 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 9.

Adding to 11301010101 its reverse (10101010311), we get a palindrome (21402020412).

The spelling of 11301010101 in words is "eleven billion, three hundred one million, ten thousand, one hundred one".

Divisors: 1 3 9 1255667789 3767003367 11301010101