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11310000121 = 721092117581
BaseRepresentation
bin10101000100010000…
…01110011111111001
31002012012202112110101
422202020032133321
5141130330000441
65110140315401
7550162262200
oct124210163771
932165675411
1011310000121
114884222542
122237842b61
1310b3217084
14794128237
15462dc6231
hex2a220e7f9

11310000121 has 12 divisors (see below), whose sum is σ = 13277239140. Its totient is φ = 9605342880.

The previous prime is 11310000071. The next prime is 11310000199. The reversal of 11310000121 is 12100001311.

11310000121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 3356927721 + 7953072400 = 57939^2 + 89180^2 .

It is not a de Polignac number, because 11310000121 - 223 = 11301611513 is a prime.

It is a super-2 number, since 2×113100001212 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 11310000098 and 11310000107.

It is not an unprimeable number, because it can be changed into a prime (11310003121) 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 in 11 ways as a sum of consecutive naturals, for example, 1053450 + ... + 1064131.

It is an arithmetic number, because the mean of its divisors is an integer number (1106436595).

Almost surely, 211310000121 is an apocalyptic number.

It is an amenable number.

11310000121 is a deficient number, since it is larger than the sum of its proper divisors (1967239019).

11310000121 is a wasteful number, since it uses less digits than its factorization.

11310000121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2117704 (or 2117697 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 10.

Adding to 11310000121 its reverse (12100001311), we get a palindrome (23410001432).

The spelling of 11310000121 in words is "eleven billion, three hundred ten million, one hundred twenty-one", and thus it is an aban number.

Divisors: 1 7 49 109 763 5341 2117581 14823067 103761469 230816329 1615714303 11310000121