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2312342324505 = 3659723328069
BaseRepresentation
bin100001101001100010010…
…101111100010100011001
322012001120010000221000000
4201221202111330110121
5300341134113341010
64530135253003213
7326026666312653
oct41514225742431
98161503027000
102312342324505
11811727a61174
12314192923509
1313a08c424175
147dcbcc7d6d3
1540238ecb7c0
hex21a6257c519

2312342324505 has 112 divisors (see below), whose sum is σ = 4221392731920. Its totient is φ = 1215253684224.

The previous prime is 2312342324503. The next prime is 2312342324527. The reversal of 2312342324505 is 5054232432132.

2312342324505 is a `hidden beast` number, since 2 + 3 + 123 + 4 + 2 + 3 + 24 + 505 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 466146197001 + 1846196127504 = 682749^2 + 1358748^2 .

It is not a de Polignac number, because 2312342324505 - 21 = 2312342324503 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2312342324505.

It is not an unprimeable number, because it can be changed into a prime (2312342324503) 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 111 ways as a sum of consecutive naturals, for example, 82366611 + ... + 82394679.

It is an arithmetic number, because the mean of its divisors is an integer number (37691006535).

Almost surely, 22312342324505 is an apocalyptic number.

It is an amenable number.

2312342324505 is a deficient number, since it is larger than the sum of its proper divisors (1909050407415).

2312342324505 is an equidigital number, since it uses as much as digits as its factorization.

2312342324505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28422 (or 28407 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 36.

Adding to 2312342324505 its reverse (5054232432132), we get a palindrome (7366574756637).

The spelling of 2312342324505 in words is "two trillion, three hundred twelve billion, three hundred forty-two million, three hundred twenty-four thousand, five hundred five".

Divisors: 1 3 5 9 15 27 45 81 97 135 233 243 291 405 485 699 729 873 1165 1215 1455 2097 2619 3495 3645 4365 6291 7857 10485 13095 18873 22601 23571 28069 31455 39285 56619 67803 70713 84207 94365 113005 117855 140345 169857 203409 252621 283095 339015 353565 421035 610227 757863 849285 1017045 1263105 1830681 2273589 2722693 3051135 3789315 5492043 6540077 6820767 8168079 9153405 11367945 13613465 16476129 19620231 20462301 24504237 27460215 32700385 34103835 40840395 58860693 73512711 82380645 98101155 102311505 122521185 176582079 220538133 294303465 367563555 529746237 634387469 661614399 882910395 1102690665 1589238711 1903162407 1984843197 2648731185 3171937345 3308071995 4767716133 5709487221 7946193555 9515812035 9924215985 17128461663 23838580665 28547436105 51385384989 85642308315 154156154967 256926924945 462468464901 770780774835 2312342324505