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13501420505312 = 251092271131041
BaseRepresentation
bin1100010001111000101101…
…0111111000100011100000
31202210201112012122101110212
43010132023113320203200
53232201402122132222
644414244510113252
72562305533515665
oct304361327704340
952721465571425
1013501420505312
114335a13991923
1216207ba4ab828
1376c2421b407c
14349687b77a6c
15186309d606e2
hexc478b5f88e0

13501420505312 has 72 divisors (see below), whose sum is σ = 26926218722592. Its totient is φ = 6664044441600.

The previous prime is 13501420505311. The next prime is 13501420505327. The reversal of 13501420505312 is 21350502410531.

It is a super-2 number, since 2×135014205053122 (a number of 27 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13501420505311) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 102966512 + ... + 103097552.

It is an arithmetic number, because the mean of its divisors is an integer number (373975260036).

Almost surely, 213501420505312 is an apocalyptic number.

It is an amenable number.

13501420505312 is a deficient number, since it is larger than the sum of its proper divisors (13424798217280).

13501420505312 is a wasteful number, since it uses less digits than its factorization.

13501420505312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131540 (or 131423 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 32.

Adding to 13501420505312 its reverse (21350502410531), we get a palindrome (34851922915843).

The spelling of 13501420505312 in words is "thirteen trillion, five hundred one billion, four hundred twenty million, five hundred five thousand, three hundred twelve".

Divisors: 1 2 4 8 16 32 109 218 271 436 542 872 1084 1744 2168 3488 4336 8672 11881 23762 29539 47524 59078 95048 118156 131041 190096 236312 262082 380192 472624 524164 945248 1048328 2096656 3219751 4193312 6439502 12879004 14283469 25758008 28566938 35512111 51516016 57133876 71024222 103032032 114267752 142048444 228535504 284096888 457071008 568193776 1136387552 1556898121 3113796242 3870820099 6227592484 7741640198 12455184968 15483280396 24910369936 30966560792 49820739872 61933121584 123866243168 421919390791 843838781582 1687677563164 3375355126328 6750710252656 13501420505312