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311320011123 = 32114176698697
BaseRepresentation
bin1001000011111000001…
…11100110000101110011
31002202120102112011201100
410201330013212011303
520100040410323443
6355003552135443
731330541301252
oct4417407460563
91082512464640
10311320011123
111100370371a0
1250404537583
132348513c544
14110d4714799
1581713b13d3
hex487c1e6173

311320011123 has 24 divisors (see below), whose sum is σ = 502529869296. Its totient is φ = 184076870400.

The previous prime is 311320011077. The next prime is 311320011139. The reversal of 311320011123 is 321110023113.

311320011123 is a `hidden beast` number, since 311 + 320 + 0 + 1 + 11 + 23 = 666.

It is not a de Polignac number, because 311320011123 - 28 = 311320010867 is a prime.

It is a super-2 number, since 2×3113200111232 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 311320011096 and 311320011105.

It is not an unprimeable number, because it can be changed into a prime (311320011143) 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 23 ways as a sum of consecutive naturals, for example, 38345290 + ... + 38353407.

It is an arithmetic number, because the mean of its divisors is an integer number (20938744554).

Almost surely, 2311320011123 is an apocalyptic number.

311320011123 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

311320011123 is a deficient number, since it is larger than the sum of its proper divisors (191209858173).

311320011123 is a wasteful number, since it uses less digits than its factorization.

311320011123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76698755 (or 76698752 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 311320011123 its reverse (321110023113), we get a palindrome (632430034236).

The spelling of 311320011123 in words is "three hundred eleven billion, three hundred twenty million, eleven thousand, one hundred twenty-three".

Divisors: 1 3 9 11 33 41 99 123 369 451 1353 4059 76698697 230096091 690288273 843685667 2531057001 3144646577 7593171003 9433939731 28301819193 34591112347 103773337041 311320011123