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12271051036036 = 221321347312
BaseRepresentation
bin1011001010010001001110…
…1000110101010110000100
31121110002201122102101120001
42302210103220311112010
53102022103031123121
642033124254251044
72404361040551122
oct262442350652604
947402648371501
1012271051036036
113a0113a449aa1
1214622661b6a84
136b0202b22400
14305cca10a912
151642e8db8991
hexb2913a35584

12271051036036 has 27 divisors (see below), whose sum is σ = 23253451256133. Its totient is φ = 5663519980560.

The previous prime is 12271051035977. The next prime is 12271051036091. The reversal of 12271051036036 is 63063015017221.

The square root of 12271051036036 is 3503006.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1815244236100 + 10455806799936 = 1347310^2 + 3233544^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12271051035986 and 12271051036004.

It is an unprimeable number.

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 8 ways as a sum of consecutive naturals, for example, 91010791 + ... + 91145521.

Almost surely, 212271051036036 is an apocalyptic number.

12271051036036 is the 3503006-th square number.

It is an amenable number.

12271051036036 is a deficient number, since it is larger than the sum of its proper divisors (10982400220097).

12271051036036 is an frugal number, since it uses more digits than its factorization.

12271051036036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269492 (or 134746 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 37.

The spelling of 12271051036036 in words is "twelve trillion, two hundred seventy-one billion, fifty-one million, thirty-six thousand, thirty-six".

Divisors: 1 2 4 13 26 52 169 338 676 134731 269462 538924 1751503 3503006 7006012 22769539 45539078 91078156 18152442361 36304884722 72609769444 235981750693 471963501386 943927002772 3067762759009 6135525518018 12271051036036