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122304311012 = 22132172626033
BaseRepresentation
bin111000111100111100…
…1111010111011100100
3102200200121010201221202
41301321321322323210
54000434400423022
6132104045502032
711556546330212
oct1617171727344
9380617121852
10122304311012
1147961660094
121b853571918
13b6c170b800
145cc33b7cb2
1532ac429592
hex1c79e7aee4

122304311012 has 54 divisors (see below), whose sum is σ = 246198513078. Its totient is φ = 53127579648.

The previous prime is 122304311009. The next prime is 122304311021. The reversal of 122304311012 is 210113403221.

It can be written as a sum of positive squares in 9 ways, for example, as 22766584996 + 99537726016 = 150886^2 + 315496^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 117653 + ... + 508380.

Almost surely, 2122304311012 is an apocalyptic number.

It is an amenable number.

122304311012 is an abundant number, since it is smaller than the sum of its proper divisors (123894202066).

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

122304311012 is a wasteful number, since it uses less digits than its factorization.

122304311012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 626097 (or 626065 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 122304311012 its reverse (210113403221), we get a palindrome (332417714233).

The spelling of 122304311012 in words is "one hundred twenty-two billion, three hundred four million, three hundred eleven thousand, twelve".

Divisors: 1 2 4 13 17 26 34 52 68 169 221 289 338 442 578 676 884 1156 2873 3757 5746 7514 11492 15028 48841 97682 195364 626033 1252066 2504132 8138429 10642561 16276858 21285122 32553716 42570244 105799577 138353293 180923537 211599154 276706586 361847074 423198308 553413172 723694148 1798592809 2352005981 3597185618 4704011962 7194371236 9408023924 30576077753 61152155506 122304311012