Search a number
-
+
303404404000131 = 33731738821130447
BaseRepresentation
bin100010011111100011101011…
…1101110010100010110000011
31110210021011210120200121202000
41010333013113232110112003
5304231434204411001011
62553142020424555043
7120623146654143540
oct10477072756242603
91423234716617660
10303404404000131
11887460a335a025
122a041981022a83
131003abb2aa6995
1454ccbcc76bbc7
1525123a1425356
hex113f1d7b94583

303404404000131 has 64 divisors (see below), whose sum is σ = 515338309570560. Its totient is φ = 172821247436160.

The previous prime is 303404404000111. The next prime is 303404404000157. The reversal of 303404404000131 is 131000404404303.

It is not a de Polignac number, because 303404404000131 - 210 = 303404403999107 is a prime.

It is a super-2 number, since 2×3034044040001312 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 303404404000095 and 303404404000104.

It is not an unprimeable number, because it can be changed into a prime (303404404000111) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2325817350 + ... + 2325947796.

It is an arithmetic number, because the mean of its divisors is an integer number (8052161087040).

Almost surely, 2303404404000131 is an apocalyptic number.

303404404000131 is a deficient number, since it is larger than the sum of its proper divisors (211933905570429).

303404404000131 is a wasteful number, since it uses less digits than its factorization.

303404404000131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169601 (or 169595 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 303404404000131 its reverse (131000404404303), we get a palindrome (434404808404434).

The spelling of 303404404000131 in words is "three hundred three trillion, four hundred four billion, four hundred four million, one hundred thirty-one", and thus it is an aban number.

Divisors: 1 3 7 9 21 27 63 189 317 951 2219 2853 6657 8559 19971 38821 59913 116463 130447 271747 349389 391341 815241 913129 1048167 1174023 2445723 2739387 3522069 7337169 8218161 12306257 24654483 36918771 41351699 86143799 110756313 124055097 258431397 289461893 332268939 372165291 775294191 868385679 1116495873 2325882573 2605157037 5064082987 7815471111 15192248961 35448580909 45576746883 106345742727 136730240649 319037228181 957111684543 1605314306879 4815942920637 11237200148153 14447828761911 33711600444459 43343486285733 101134801333377 303404404000131