Search a number
-
+
301123440124104 = 2331317271209494081
BaseRepresentation
bin100010001110111101100001…
…1101011101010000011001000
31110111012010020021202000221110
41010131323003223222003020
5303432101301132432404
62544234110525010320
7120266310363121623
oct10435730353520310
91414163207660843
10301123440124104
1187a46808750704
12299338a69b39a0
13cc03a844bb9c0
145450649038dba
1524c2da20abb89
hex111dec3aea0c8

301123440124104 has 128 divisors (see below), whose sum is σ = 861573741396480. Its totient is φ = 86881384857600.

The previous prime is 301123440124079. The next prime is 301123440124139. The reversal of 301123440124104 is 401421044321103.

It is a happy number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 103309657 + ... + 106184424.

It is an arithmetic number, because the mean of its divisors is an integer number (6731044854660).

Almost surely, 2301123440124104 is an apocalyptic number.

301123440124104 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

301123440124104 is an abundant number, since it is smaller than the sum of its proper divisors (560450301272376).

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

301123440124104 is a wasteful number, since it uses less digits than its factorization.

301123440124104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209494391 (or 209494387 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 301123440124104 its reverse (401421044321103), we get a palindrome (702544484445207).

The spelling of 301123440124104 in words is "three hundred one trillion, one hundred twenty-three billion, four hundred forty million, one hundred twenty-four thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 13 17 24 26 34 39 51 52 68 78 102 104 136 156 204 221 271 312 408 442 542 663 813 884 1084 1326 1626 1768 2168 2652 3252 3523 4607 5304 6504 7046 9214 10569 13821 14092 18428 21138 27642 28184 36856 42276 55284 59891 84552 110568 119782 179673 239564 359346 479128 718692 1437384 209494081 418988162 628482243 837976324 1256964486 1675952648 2513928972 2723423053 3561399377 5027857944 5446846106 7122798754 8170269159 10684198131 10893692212 14245597508 16340538318 21368396262 21787384424 28491195016 32681076636 42736792524 46298191901 56772895951 65362153272 85473585048 92596383802 113545791902 138894575703 170318687853 185192767604 227091583804 277789151406 340637375706 370385535208 454183167608 555578302812 681274751412 738047647363 965139231167 1111156605624 1362549502824 1476095294726 1930278462334 2214142942089 2895417693501 2952190589452 3860556924668 4428285884178 5790835387002 5904381178904 7721113849336 8856571768356 11581670774004 12546810005171 17713143536712 23163341548008 25093620010342 37640430015513 50187240020684 75280860031026 100374480041368 150561720062052 301123440124104