Search a number
-
+
12021231310011 = 32711273165713037
BaseRepresentation
bin1010111011101110100100…
…1110001101010010111011
31120120012220021112101211200
42232323221032031102323
53033423440203410021
641322251042425243
72350335214120350
oct256735116152273
946505807471750
1012021231310011
1139151a2755300
121421966062223
1369279c202011
142d7b8b624627
1515ca76d0e126
hexaeee938d4bb

12021231310011 has 144 divisors (see below), whose sum is σ = 22126473550272. Its totient is φ = 6155061073920.

The previous prime is 12021231309883. The next prime is 12021231310013. The reversal of 12021231310011 is 11001313212021.

12021231310011 is a `hidden beast` number, since 120 + 2 + 1 + 231 + 310 + 0 + 1 + 1 = 666.

It is not a de Polignac number, because 12021231310011 - 27 = 12021231309883 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12021231310013) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 922079185 + ... + 922092221.

Almost surely, 212021231310011 is an apocalyptic number.

12021231310011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12021231310011 is a deficient number, since it is larger than the sum of its proper divisors (10105242240261).

12021231310011 is a wasteful number, since it uses less digits than its factorization.

12021231310011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14802 (or 14788 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 12021231310011 its reverse (11001313212021), we get a palindrome (23022544522032).

The spelling of 12021231310011 in words is "twelve trillion, twenty-one billion, two hundred thirty-one million, three hundred ten thousand, eleven".

Divisors: 1 3 7 9 11 21 33 63 73 77 99 121 219 231 363 511 657 693 803 847 1089 1533 1657 2409 2541 4599 4971 5621 7227 7623 8833 11599 13037 14913 16863 18227 26499 34797 39111 50589 54681 61831 79497 91259 104391 117333 120961 127589 143407 164043 185493 200497 273777 362883 382767 430221 556479 601491 821331 846727 951701 1003849 1088649 1148301 1290663 1330571 1403479 1577477 1804473 2540181 2855103 3011547 3991713 4210437 4732431 6661907 7620543 8565309 9034641 9313997 10468711 11042339 11975139 12631311 14197293 14636281 19985721 21602309 27941991 31406133 33127017 43908843 59957163 64806927 73280977 83825973 94218399 99381051 102453967 115155821 131726529 151216163 194420781 219842931 237625399 307361901 345467463 453648489 659528793 712876197 806090747 922085703 1036402389 1360945467 1576968557 1663377793 2138628591 2418272241 2613879389 4730905671 4990133379 7254816723 7841638167 11038779899 14192717013 14970400137 17346654127 18297155723 23524914501 33116339697 52039962381 54891467169 99349019091 121426578889 156119887143 164674401507 190813195397 364279736667 572439586191 1092839210001 1335692367779 1717318758573 4007077103337 12021231310011