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13220011014 = 2373111012097
BaseRepresentation
bin11000100111111100…
…10101110000000110
31021010022210010211120
430103332111300012
5204033310323024
610023450414410
7645414145110
oct142376256006
937108703746
1013220011014
115674395a41
12268b431406
131328b44432
148d5a7a3b0
15525910479
hex313f95c06

13220011014 has 32 divisors (see below), whose sum is σ = 30314359296. Its totient is φ = 3764997120.

The previous prime is 13220011009. The next prime is 13220011033. The reversal of 13220011014 is 41011002231.

13220011014 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 13220010984 and 13220011002.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 492987 + ... + 519110.

It is an arithmetic number, because the mean of its divisors is an integer number (947323728).

Almost surely, 213220011014 is an apocalyptic number.

13220011014 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

13220011014 is an abundant number, since it is smaller than the sum of its proper divisors (17094348282).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13220011014 is a wasteful number, since it uses less digits than its factorization.

13220011014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1012420.

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 13220011014 its reverse (41011002231), we get a palindrome (54231013245).

The spelling of 13220011014 in words is "thirteen billion, two hundred twenty million, eleven thousand, fourteen".

Divisors: 1 2 3 6 7 14 21 42 311 622 933 1866 2177 4354 6531 13062 1012097 2024194 3036291 6072582 7084679 14169358 21254037 42508074 314762167 629524334 944286501 1888573002 2203335169 4406670338 6610005507 13220011014