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31122220122 = 23271801137147
BaseRepresentation
bin11100111111000001…
…110110010001011010
32222022221221120222100
4130333001312101122
51002214242020442
622144121104230
72151144335430
oct347701662132
988287846870
1031122220122
1112220755684
126046928076
132c1ca25886
1417134ccd50
15c223ed84c
hex73f07645a

31122220122 has 48 divisors (see below), whose sum is σ = 77107897152. Its totient is φ = 8887060800.

The previous prime is 31122220121. The next prime is 31122220133. The reversal of 31122220122 is 22102222113.

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 = 31122220095 and 31122220104.

It is not an unprimeable number, because it can be changed into a prime (31122220121) 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, 158353 + ... + 295499.

It is an arithmetic number, because the mean of its divisors is an integer number (1606414524).

Almost surely, 231122220122 is an apocalyptic number.

31122220122 is an abundant number, since it is smaller than the sum of its proper divisors (45985677030).

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

31122220122 is a wasteful number, since it uses less digits than its factorization.

31122220122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138963 (or 138960 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 31122220122 its reverse (22102222113), we get a palindrome (53224442235).

The spelling of 31122220122 in words is "thirty-one billion, one hundred twenty-two million, two hundred twenty thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 1801 3602 5403 10806 12607 16209 25214 32418 37821 75642 113463 137147 226926 274294 411441 822882 960029 1234323 1920058 2468646 2880087 5760174 8640261 17280522 247001747 494003494 741005241 1482010482 1729012229 2223015723 3458024458 4446031446 5187036687 10374073374 15561110061 31122220122