Search a number
-
+
12341104773030 = 23251121766661831
BaseRepresentation
bin1011001110010110001100…
…1010101000011110100110
31121200210112210212221201200
42303211203022220132212
53104144040310214110
642125231505103330
72412421036521315
oct263454312503646
947623483787650
1012341104773030
113a28918a04500
121473957027b46
136b69b84330a7
14309453d1027c
151660490916c0
hexb39632a87a6

12341104773030 has 144 divisors (see below), whose sum is σ = 37343691639072. Its totient is φ = 2815795699200.

The previous prime is 12341104772891. The next prime is 12341104773031. The reversal of 12341104773030 is 3037740114321.

12341104773030 is a `hidden beast` number, since 1 + 2 + 341 + 1 + 0 + 4 + 7 + 7 + 303 + 0 = 666.

12341104773030 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12341104773031) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 33145786 + ... + 33516045.

It is an arithmetic number, because the mean of its divisors is an integer number (259331191938).

Almost surely, 212341104773030 is an apocalyptic number.

12341104773030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12341104773030 is an abundant number, since it is smaller than the sum of its proper divisors (25002586866042).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12341104773030 is a wasteful number, since it uses less digits than its factorization.

12341104773030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66661883 (or 66661869 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

Adding to 12341104773030 its reverse (3037740114321), we get a palindrome (15378844887351).

The spelling of 12341104773030 in words is "twelve trillion, three hundred forty-one billion, one hundred four million, seven hundred seventy-three thousand, thirty".

Divisors: 1 2 3 5 6 9 10 11 15 17 18 22 30 33 34 45 51 55 66 85 90 99 102 110 121 153 165 170 187 198 242 255 306 330 363 374 495 510 561 605 726 765 935 990 1089 1122 1210 1530 1683 1815 1870 2057 2178 2805 3366 3630 4114 5445 5610 6171 8415 10285 10890 12342 16830 18513 20570 30855 37026 61710 92565 185130 66661831 133323662 199985493 333309155 399970986 599956479 666618310 733280141 999927465 1133251127 1199912958 1466560282 1999854930 2199840423 2266502254 2999782395 3399753381 3666400705 4399680846 5666255635 5999564790 6599521269 6799506762 7332801410 8066081551 10199260143 10999202115 11332511270 12465762397 13199042538 16132163102 16998766905 20398520286 21998404230 24198244653 24931524794 32997606345 33997533810 37397287191 40330407755 48396489306 50996300715 62328811985 65995212690 72594733959 74794574382 80660815510 101992601430 112191861573 120991223265 124657623970 137123386367 145189467918 186986435955 224383723146 241982446530 274246772734 362973669795 373972871910 411370159101 560959307865 685616931835 725947339590 822740318202 1121918615730 1234110477303 1371233863670 2056850795505 2468220954606 4113701591010 6170552386515 12341104773030