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13302282753 = 34164225713
BaseRepresentation
bin11000110001110000…
…01011101000000001
31021100001120222110000
430120320023220001
5204220341022003
610035550030213
7650433352314
oct143070135001
937301528400
1013302282753
115706878a11
1226b2aa8369
13133cbbb836
1490297497b
1552cc621a3
hex318e0ba01

13302282753 has 10 divisors (see below), whose sum is σ = 19871311394. Its totient is φ = 8868188448.

The previous prime is 13302282731. The next prime is 13302282767. The reversal of 13302282753 is 35728220331.

13302282753 is a `hidden beast` number, since 1 + 3 + 302 + 282 + 75 + 3 = 666.

It can be written as a sum of positive squares in only one way, i.e., 11445362289 + 1856920464 = 106983^2 + 43092^2 .

It is not a de Polignac number, because 13302282753 - 29 = 13302282241 is a prime.

It is a super-2 number, since 2×133022827532 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13302282703) by changing a digit.

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 9 ways as a sum of consecutive naturals, for example, 82112776 + ... + 82112937.

Almost surely, 213302282753 is an apocalyptic number.

It is an amenable number.

13302282753 is a deficient number, since it is larger than the sum of its proper divisors (6569028641).

13302282753 is an equidigital number, since it uses as much as digits as its factorization.

13302282753 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164225725 (or 164225716 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 13302282753 in words is "thirteen billion, three hundred two million, two hundred eighty-two thousand, seven hundred fifty-three".

Divisors: 1 3 9 27 81 164225713 492677139 1478031417 4434094251 13302282753