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122340331113 = 3711132313912743
BaseRepresentation
bin111000111110000001…
…1010100111001101001
3102200210002220202020120
41301330003110321221
54001023111043423
6132111413513453
711560464441120
oct1617403247151
9380702822216
10122340331113
114797aa22570
121b863642889
13b6c9010990
145cc80b2ab7
1532b0691ee3
hex1c7c0d4e69

122340331113 has 128 divisors (see below), whose sum is σ = 230199459840. Its totient is φ = 55705985280.

The previous prime is 122340331109. The next prime is 122340331117. The reversal of 122340331113 is 311133043221.

It is an interprime number because it is at equal distance from previous prime (122340331109) and next prime (122340331117).

It is not a de Polignac number, because 122340331113 - 22 = 122340331109 is a prime.

It is not an unprimeable number, because it can be changed into a prime (122340331117) 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 127 ways as a sum of consecutive naturals, for example, 9594220 + ... + 9606962.

It is an arithmetic number, because the mean of its divisors is an integer number (1798433280).

Almost surely, 2122340331113 is an apocalyptic number.

122340331113 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

122340331113 is a deficient number, since it is larger than the sum of its proper divisors (107859128727).

122340331113 is a wasteful number, since it uses less digits than its factorization.

122340331113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12939.

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 122340331113 its reverse (311133043221), we get a palindrome (433473374334).

The spelling of 122340331113 in words is "one hundred twenty-two billion, three hundred forty million, three hundred thirty-one thousand, one hundred thirteen".

Divisors: 1 3 7 11 13 21 23 33 39 69 77 91 139 143 161 231 253 273 299 417 429 483 759 897 973 1001 1529 1771 1807 2093 2919 3003 3197 3289 4587 5313 5421 6279 9591 9867 10703 12649 12743 19877 22379 23023 32109 35167 37947 38229 41561 59631 67137 69069 89201 105501 124683 139139 140173 165659 246169 267603 290927 293089 417417 420519 457171 496977 738507 872781 879267 981211 1159613 1371513 1771277 1822249 2051623 2943633 3200197 3223979 3478839 3810157 5313831 5466747 6154869 9600591 9671937 11430471 12398939 12755743 19484047 22567853 23026601 26671099 37196817 38267229 40739371 41911727 58452141 67703559 69079803 80013297 122218113 125735181 136388329 161186207 253292611 285175597 293382089 409164987 448133081 483558621 529611823 759877833 855526791 880146267 1344399243 1588835469 1773048277 3136931567 3707282761 5319144831 5825730053 9410794701 11121848283 17477190159 40780110371 122340331113