Search a number
-
+
323131054545 = 335139718110487
BaseRepresentation
bin1001011001111000001…
…11001001100111010001
31010220001120002100101000
410230330013021213101
520243233022221140
6404235551532213
732226326434215
oct4547407114721
91126046070330
10323131054545
11115048068a02
125275bb2a069
13246180b5530
14118d51c6945
158613259a30
hex4b3c1c99d1

323131054545 has 128 divisors (see below), whose sum is σ = 628534932480. Its totient is φ = 156555141120.

The previous prime is 323131054537. The next prime is 323131054549. The reversal of 323131054545 is 545450131323.

323131054545 is a `hidden beast` number, since 3 + 2 + 3 + 1 + 3 + 105 + 4 + 545 = 666.

It is not a de Polignac number, because 323131054545 - 23 = 323131054537 is a prime.

It is a super-2 number, since 2×3231310545452 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (323131054549) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 30807292 + ... + 30817778.

It is an arithmetic number, because the mean of its divisors is an integer number (4910429160).

Almost surely, 2323131054545 is an apocalyptic number.

It is an amenable number.

323131054545 is a deficient number, since it is larger than the sum of its proper divisors (305403877935).

323131054545 is a wasteful number, since it uses less digits than its factorization.

323131054545 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10792 (or 10786 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

Adding to 323131054545 its reverse (545450131323), we get a palindrome (868581185868).

The spelling of 323131054545 in words is "three hundred twenty-three billion, one hundred thirty-one million, fifty-four thousand, five hundred forty-five".

Divisors: 1 3 5 9 13 15 27 39 45 65 97 117 135 181 195 291 351 485 543 585 873 905 1261 1455 1629 1755 2353 2619 2715 3783 4365 4887 6305 7059 8145 10487 11349 11765 13095 17557 18915 21177 24435 31461 34047 35295 52435 52671 56745 63531 87785 94383 105885 136331 157305 158013 170235 228241 263355 283149 317655 408993 471915 474039 681655 684723 790065 1017239 1141205 1226979 1415745 1898147 2044965 2054169 2370195 3051717 3423615 3680937 5086195 5694441 6134895 6162507 9155151 9490735 10270845 13224107 15258585 17083323 18404685 24675911 27465453 28472205 30812535 39672321 45775755 51249969 66120535 74027733 85416615 119016963 123379555 137327265 184120259 198361605 222083199 256249845 357050889 370138665 552360777 595084815 666249597 920601295 1110415995 1657082331 1785254445 2393563367 2761803885 3331247985 4971246993 7180690101 8285411655 11967816835 21542070303 24856234965 35903450505 64626210909 107710351515 323131054545