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313110211121 = 17312772144899
BaseRepresentation
bin1001000111001101101…
…00101010101000110001
31002221012012002202102222
410203212310222220301
520112222203223441
6355501342250425
731423106611241
oct4434664525061
91087165082388
10313110211121
11110875607a24
1250823b86a15
13236abcaaa96
1411224399b21
158228630d4b
hex48e6d2aa31

313110211121 has 16 divisors (see below), whose sum is σ = 343458547200. Its totient is φ = 284156087040.

The previous prime is 313110211093. The next prime is 313110211151. The reversal of 313110211121 is 121112011313.

It is a cyclic number.

It is not a de Polignac number, because 313110211121 - 210 = 313110210097 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 313110211121.

It is not an unprimeable number, because it can be changed into a prime (313110211151) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 926471 + ... + 1218428.

It is an arithmetic number, because the mean of its divisors is an integer number (21466159200).

Almost surely, 2313110211121 is an apocalyptic number.

313110211121 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

313110211121 is a deficient number, since it is larger than the sum of its proper divisors (30348336079).

313110211121 is a wasteful number, since it uses less digits than its factorization.

313110211121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2145224.

The product of its (nonzero) digits is 36, while the sum is 17.

Adding to 313110211121 its reverse (121112011313), we get a palindrome (434222222434).

The spelling of 313110211121 in words is "three hundred thirteen billion, one hundred ten million, two hundred eleven thousand, one hundred twenty-one".

Divisors: 1 17 31 277 527 4709 8587 145979 2144899 36463283 66491869 594137023 1130361773 10100329391 18418247713 313110211121