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311200131121 = 11181170991459
BaseRepresentation
bin1001000011101001111…
…10010010100000110001
31002202021001221122021021
410201310332102200301
520044314213143441
6354544030455441
731324554320005
oct4416476224061
91082231848237
10311200131121
1110aa853a7610
1250390364581
1323466358129
14110c282a705
158165ad13d1
hex4874f92831

311200131121 has 16 divisors (see below), whose sum is σ = 341570174400. Its totient is φ = 281178475200.

The previous prime is 311200131119. The next prime is 311200131127. The reversal of 311200131121 is 121131002113.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 311200131121 - 21 = 311200131119 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 311200131095 and 311200131104.

It is not an unprimeable number, because it can be changed into a prime (311200131127) 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 15 ways as a sum of consecutive naturals, for example, 3356890 + ... + 3448348.

It is an arithmetic number, because the mean of its divisors is an integer number (21348135900).

Almost surely, 2311200131121 is an apocalyptic number.

It is an amenable number.

311200131121 is a deficient number, since it is larger than the sum of its proper divisors (30370043279).

311200131121 is a wasteful number, since it uses less digits than its factorization.

311200131121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93360.

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 311200131121 its reverse (121131002113), we get a palindrome (432331133234).

The spelling of 311200131121 in words is "three hundred eleven billion, two hundred million, one hundred thirty-one thousand, one hundred twenty-one".

Divisors: 1 11 181 1709 1991 18799 91459 309329 1006049 3402619 16554079 156303431 182094869 1719337741 28290921011 311200131121