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12031311313021 = 71121322724119973
BaseRepresentation
bin1010111100010100001000…
…0010010111100001111101
31120121011220202211121110111
42233011002002113201331
53034110111144004041
641331035204110021
72351143052540260
oct257050202274175
946534822747414
1012031311313021
1139194a5642800
1214238b9995311
13693717651040
142d8466250cd7
1515ce66c21981
hexaf14209787d

12031311313021 has 96 divisors (see below), whose sum is σ = 16416664475904. Its totient is φ = 8579587737600.

The previous prime is 12031311312983. The next prime is 12031311313067.

12031311313021 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 12031311313021 - 219 = 12031310788733 is a prime.

It is a super-3 number, since 3×120313113130213 (a number of 40 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12031311312983 and 12031311313001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12031311313321) 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, 602368791 + ... + 602388763.

It is an arithmetic number, because the mean of its divisors is an integer number (171006921624).

Almost surely, 212031311313021 is an apocalyptic number.

12031311313021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12031311313021 is a deficient number, since it is larger than the sum of its proper divisors (4385353162883).

12031311313021 is a wasteful number, since it uses less digits than its factorization.

12031311313021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20483 (or 20472 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 22.

Multiplying 12031311313021 by its sum of digits (22), we get a palindrome (264688848886462).

It can be divided in two parts, 1203131 and 1313021, that added together give a palindrome (2516152).

The spelling of 12031311313021 in words is "twelve trillion, thirty-one billion, three hundred eleven million, three hundred thirteen thousand, twenty-one".

Divisors: 1 7 11 13 77 91 121 143 227 241 847 1001 1573 1589 1687 2497 2651 2951 3133 11011 17479 18557 19973 20657 21931 27467 29161 32461 34463 54707 139811 192269 204127 219703 227227 241241 259649 357071 379093 382949 601777 711191 1537921 1817543 2416733 2499497 2653651 2856139 4212439 4533871 4813493 4978337 6619547 7823101 16917131 19992973 31417529 31737097 33694451 46336829 49872581 52948423 54761707 58940323 62575409 86054111 219922703 349108067 370638961 412582261 438027863 548598391 582432653 602378777 648343553 688329499 1092662911 3840188737 4077028571 4538404871 4818306493 7131779083 7571624489 7648640377 12019292021 14204617843 49922453581 53001371423 84135044147 99432324901 132212212231 156250796273 925485485617 1093755573911 1718758759003 12031311313021