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12311222211321 = 31123101397404527
BaseRepresentation
bin1011001100100110111000…
…0001101101001011111001
31121120221102020120112101220
42303021232001231023321
53103201340341230241
642103410350102253
72410312364114205
oct263115601551371
947527366515356
1012311222211321
113a17183a92610
121469bb74aa989
136b3c354a8c07
14307c1b315b05
1516539a914166
hexb326e06d2f9

12311222211321 has 64 divisors (see below), whose sum is σ = 18918395928576. Its totient is φ = 7048461024000.

The previous prime is 12311222211293. The next prime is 12311222211361.

12311222211321 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 12311222211321 - 25 = 12311222211289 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12311222211291 and 12311222211300.

It is not an unprimeable number, because it can be changed into a prime (12311222211361) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 30231360 + ... + 30635886.

It is an arithmetic number, because the mean of its divisors is an integer number (295599936384).

Almost surely, 212311222211321 is an apocalyptic number.

12311222211321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12311222211321 is a deficient number, since it is larger than the sum of its proper divisors (6607173717255).

12311222211321 is a wasteful number, since it uses less digits than its factorization.

12311222211321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405062.

The product of its digits is 576, while the sum is 24.

It can be divided in two parts, 1231122 and 2211321, that added together give a palindrome (3442443).

The spelling of 12311222211321 in words is "twelve trillion, three hundred eleven billion, two hundred twenty-two million, two hundred eleven thousand, three hundred twenty-one".

Divisors: 1 3 11 23 33 69 101 253 303 397 759 1111 1191 2323 3333 4367 6969 9131 13101 25553 27393 40097 76659 100441 120291 301323 404527 441067 922231 1213581 1323201 2766693 4449797 9304121 10144541 13349391 27912363 30433623 40857227 102345331 122571681 160597219 307035993 449429497 481791657 939716221 1348288491 1766569409 2819148663 3693736037 5299708227 10336878431 11081208111 16220319119 31010635293 40631096407 48660957357 121893289221 178423510309 373067339737 535270530927 1119202019211 4103740737107 12311222211321