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13220123011 = 233147394501
BaseRepresentation
bin11000100111111101…
…10001000110000011
31021010022222211110121
430103332301012003
5204033322414021
610023453041111
7645415122454
oct142376610603
937108884417
1013220123011
1156744620a7
12268b486197
131328b833c4
148d5aa912b
15525933741
hex313fb1183

13220123011 has 16 divisors (see below), whose sum is σ = 14542921728. Its totient is φ = 11977020000.

The previous prime is 13220122973. The next prime is 13220123017. The reversal of 13220123011 is 11032102231.

13220123011 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13220123011 - 221 = 13218025859 is a prime.

It is a super-2 number, since 2×132201230112 (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 (13220123017) by changing a digit.

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, 163740 + ... + 230761.

It is an arithmetic number, because the mean of its divisors is an integer number (908932608).

Almost surely, 213220123011 is an apocalyptic number.

13220123011 is a deficient number, since it is larger than the sum of its proper divisors (1322798717).

13220123011 is a wasteful number, since it uses less digits than its factorization.

13220123011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394602.

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 13220123011 its reverse (11032102231), we get a palindrome (24252225242).

The spelling of 13220123011 in words is "thirteen billion, two hundred twenty million, one hundred twenty-three thousand, eleven".

Divisors: 1 23 31 47 713 1081 1457 33511 394501 9073523 12229531 18541547 281279213 426455581 574787957 13220123011