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311320120122 = 2321112171291967
BaseRepresentation
bin1001000011111000010…
…00000000101100111010
31002202120102201201020100
410201330020000230322
520100040422320442
6355003554340230
731330542234114
oct4417410005472
91082512651210
10311320120122
11110037101080
125040458a676
132348517a03b
14110d47423b4
1581713d384c
hex487c200b3a

311320120122 has 48 divisors (see below), whose sum is σ = 736452767232. Its totient is φ = 94261839360.

The previous prime is 311320120117. The next prime is 311320120129. The reversal of 311320120122 is 221021023113.

311320120122 is a `hidden beast` number, since 311 + 320 + 1 + 20 + 12 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 311320120095 and 311320120104.

It is not an unprimeable number, because it can be changed into a prime (311320120129) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 405018 + ... + 886949.

It is an arithmetic number, because the mean of its divisors is an integer number (15342765984).

Almost surely, 2311320120122 is an apocalyptic number.

311320120122 is an abundant number, since it is smaller than the sum of its proper divisors (425132647110).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

311320120122 is a wasteful number, since it uses less digits than its factorization.

311320120122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1293203 (or 1293200 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 311320120122 its reverse (221021023113), we get a palindrome (532341143235).

The spelling of 311320120122 in words is "three hundred eleven billion, three hundred twenty million, one hundred twenty thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 1217 2434 3651 7302 10953 13387 21906 26774 40161 80322 120483 240966 1291967 2583934 3875901 7751802 11627703 14211637 23255406 28423274 42634911 85269822 127904733 255809466 1572323839 3144647678 4716971517 9433943034 14150914551 17295562229 28301829102 34591124458 51886686687 103773373374 155660060061 311320120122