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13271360641 = 7111718735413
BaseRepresentation
bin11000101110000100…
…01110010010000001
31021020220101222021121
430113002032102001
5204134432020031
610032523152241
7646606463350
oct142702162201
937226358247
1013271360641
1156a0378750
1226a4675681
131336682c26
148dc805997
1552a1a5011
hex31708e481

13271360641 has 32 divisors (see below), whose sum is σ = 17532004608. Its totient is φ = 9726013440.

The previous prime is 13271360639. The next prime is 13271360657. The reversal of 13271360641 is 14606317231.

It is not a de Polignac number, because 13271360641 - 21 = 13271360639 is a prime.

It is a super-2 number, since 2×132713606412 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13271360597 and 13271360606.

It is not an unprimeable number, because it can be changed into a prime (13271360041) 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 31 ways as a sum of consecutive naturals, for example, 2449051 + ... + 2454463.

It is an arithmetic number, because the mean of its divisors is an integer number (547875144).

Almost surely, 213271360641 is an apocalyptic number.

13271360641 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

13271360641 is a deficient number, since it is larger than the sum of its proper divisors (4260643967).

13271360641 is a wasteful number, since it uses less digits than its factorization.

13271360641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7321.

The product of its (nonzero) digits is 18144, while the sum is 34.

Adding to 13271360641 its reverse (14606317231), we get a palindrome (27877677872).

The spelling of 13271360641 in words is "thirteen billion, two hundred seventy-one million, three hundred sixty thousand, six hundred forty-one".

Divisors: 1 7 11 17 77 119 187 1309 1873 5413 13111 20603 31841 37891 59543 92021 144221 222887 350251 416801 644147 1012231 2451757 7085617 10138549 70969843 111524039 172355333 780668273 1206487331 1895908663 13271360641