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1310235069025 = 52192120492
BaseRepresentation
bin10011000100010000000…
…110001000101001100001
311122020221112102211102201
4103010100012020221201
5132431330134202100
62441525204413201
7163442563220641
oct23042006105141
94566845384381
101310235069025
114657385a2023
12191b230a7201
13967296ca1bc
14475b6a1c521
152413776836a
hex13110188a61

1310235069025 has 27 divisors (see below), whose sum is σ = 1714844416761. Its totient is φ = 992937847680.

The previous prime is 1310235068983. The next prime is 1310235069071. The reversal of 1310235069025 is 5209605320131.

The square root of 1310235069025 is 1144655.

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 3520879569 + 1306714189456 = 59337^2 + 1143116^2 .

It is not a de Polignac number, because 1310235069025 - 231 = 1308087585377 is a prime.

It is a super-2 number, since 2×13102350690252 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 108736201 + ... + 108748249.

Almost surely, 21310235069025 is an apocalyptic number.

1310235069025 is the 1144655-th square number.

1310235069025 is the 572328-th centered octagonal number.

It is an amenable number.

1310235069025 is a deficient number, since it is larger than the sum of its proper divisors (404609347736).

1310235069025 is an frugal number, since it uses more digits than its factorization.

1310235069025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24146 (or 12073 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 37.

The spelling of 1310235069025 in words is "one trillion, three hundred ten billion, two hundred thirty-five million, sixty-nine thousand, twenty-five".

Divisors: 1 5 19 25 95 361 475 1805 9025 12049 60245 228931 301225 1144655 4349689 5723275 21748445 108742225 145178401 725892005 2758389619 3629460025 13791948095 52409402761 68959740475 262047013805 1310235069025