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13002612841 = 101211292
BaseRepresentation
bin11000001110000010…
…00010000001101001
31020120011201011121101
430013001002001221
5203112132102331
65550123041401
7640134246151
oct140701020151
936504634541
1013002612841
1155726aa529
12262a670261
1312c2aa806a
148b4c49761
155117bb061
hex307042069

13002612841 has 9 divisors (see below), whose sum is σ = 13144268613. Its totient is φ = 12862471200.

The previous prime is 13002612827. The next prime is 13002612851. The reversal of 13002612841 is 14821620031.

The square root of 13002612841 is 114029.

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 120362841 + 12882250000 = 10971^2 + 113500^2 .

It is not a de Polignac number, because 13002612841 - 217 = 13002481769 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13002612851) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 11516365 + ... + 11517493.

Almost surely, 213002612841 is an apocalyptic number.

13002612841 is the 114029-th square number.

13002612841 is the 57015-th centered octagonal number.

It is an amenable number.

13002612841 is a deficient number, since it is larger than the sum of its proper divisors (141655772).

13002612841 is an frugal number, since it uses more digits than its factorization.

13002612841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2460 (or 1230 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

Multiplying 13002612841 by its product of nonzero digits (2304), we get a square (29958019985664 = 54733922).

The spelling of 13002612841 in words is "thirteen billion, two million, six hundred twelve thousand, eight hundred forty-one".

Divisors: 1 101 1129 10201 114029 1274641 11516929 128738741 13002612841