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122442331011 = 371121318731979
BaseRepresentation
bin111001000001000100…
…0011011001110000011
3102201001012211212210120
41302002020123032003
54001230214043021
6132125500031323
711563143432660
oct1620210331603
9381035755716
10122442331011
1147a2255a600
121b891832543
13b7141a4850
145cd7864a67
1532b95de2c6
hex1c8221b383

122442331011 has 96 divisors (see below), whose sum is σ = 221087623680. Its totient is φ = 58652605440.

The previous prime is 122442330953. The next prime is 122442331019. The reversal of 122442331011 is 110133244221.

It is not a de Polignac number, because 122442331011 - 226 = 122375222147 is a prime.

It is not an unprimeable number, because it can be changed into a prime (122442331019) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 61869820 + ... + 61871798.

It is an arithmetic number, because the mean of its divisors is an integer number (2302996080).

Almost surely, 2122442331011 is an apocalyptic number.

122442331011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

122442331011 is a deficient number, since it is larger than the sum of its proper divisors (98645292669).

122442331011 is a wasteful number, since it uses less digits than its factorization.

122442331011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3897 (or 3886 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 122442331011 its reverse (110133244221), we get a palindrome (232575575232).

The spelling of 122442331011 in words is "one hundred twenty-two billion, four hundred forty-two million, three hundred thirty-one thousand, eleven".

Divisors: 1 3 7 11 13 21 33 39 77 91 121 143 231 273 363 429 847 1001 1573 1873 1979 2541 3003 4719 5619 5937 11011 13111 13853 20603 21769 24349 25727 33033 39333 41559 61809 65307 73047 77181 144221 152383 170443 180089 226633 239459 267839 282997 432663 457149 511329 540267 679899 718377 803517 848991 1586431 1676213 1874873 1980979 2946229 3112967 3706667 4759293 5028639 5624619 5942937 8838687 9338901 11120001 20623603 21790769 25946669 40773337 48186671 61870809 65372307 77840007 122320011 144560013 285413359 337306697 448506707 530053381 856240077 1011920091 1345520121 1590160143 3139546949 3710373667 5830587191 9418640847 11131121001 17491761573 40814110337 122442331011