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12703136709316 = 221732103012
BaseRepresentation
bin1011100011011010110111…
…1100110111101011000100
31122222102000102211211210111
42320312231330313223010
53131112010444144231
643003423534002404
72450525366305114
oct270665574675304
948872012754714
1012703136709316
114058408558649
121511b52946404
13711b92968631
1431cb99715044
151706875734b1
hexb8dadf37ac4

12703136709316 has 27 divisors (see below), whose sum is σ = 22361902801063. Its totient is φ = 6314241053600.

The previous prime is 12703136709301. The next prime is 12703136709379. The reversal of 12703136709316 is 61390763130721.

The square root of 12703136709316 is 3564146.

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

It can be written as a sum of positive squares in 4 ways, for example, as 9754690562500 + 2948446146816 = 3123250^2 + 1717104^2 .

It is a super-2 number, since 2×127031367093162 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 12703136709316.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1233189366 + ... + 1233199666.

Almost surely, 212703136709316 is an apocalyptic number.

12703136709316 is the 3564146-th square number.

It is an amenable number.

12703136709316 is a deficient number, since it is larger than the sum of its proper divisors (9658766091747).

12703136709316 is an frugal number, since it uses more digits than its factorization.

12703136709316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20952 (or 10476 counting only the distinct ones).

The product of its (nonzero) digits is 857304, while the sum is 49.

Multiplying 12703136709316 by its sum of digits (49), we get a square (622453698756484 = 249490222).

The spelling of 12703136709316 in words is "twelve trillion, seven hundred three billion, one hundred thirty-six million, seven hundred nine thousand, three hundred sixteen".

Divisors: 1 2 4 173 346 692 10301 20602 29929 41204 59858 119716 1782073 3564146 7128292 106110601 212221202 308298629 424442404 616597258 1233194516 18357133973 36714267946 73428535892 3175784177329 6351568354658 12703136709316