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13220111331 = 347137170189
BaseRepresentation
bin11000100111111101…
…01110001111100011
31021010022222020110000
430103332232033203
5204033322030311
610023452511043
7645415043430
oct142376561743
937108866400
1013220111331
115674454349
12268b47b483
131328b7acab
148d5aa4b87
15525930056
hex313fae3e3

13220111331 has 40 divisors (see below), whose sum is σ = 22734660960. Its totient is φ = 7499164032.

The previous prime is 13220111287. The next prime is 13220111363. The reversal of 13220111331 is 13311102231.

13220111331 is a `hidden beast` number, since 1 + 3 + 220 + 111 + 331 = 666.

It is a de Polignac number, because none of the positive numbers 2k-13220111331 is a prime.

It is a super-2 number, since 2×132201113312 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13220111371) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 7416 + ... + 162773.

It is an arithmetic number, because the mean of its divisors is an integer number (568366524).

Almost surely, 213220111331 is an apocalyptic number.

13220111331 is a deficient number, since it is larger than the sum of its proper divisors (9514549629).

13220111331 is a wasteful number, since it uses less digits than its factorization.

13220111331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170345 (or 170336 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 13220111331 its reverse (13311102231), we get a palindrome (26531213562).

The spelling of 13220111331 in words is "thirteen billion, two hundred twenty million, one hundred eleven thousand, three hundred thirty-one".

Divisors: 1 3 7 9 21 27 63 81 137 189 411 567 959 1233 2877 3699 8631 11097 25893 77679 170189 510567 1191323 1531701 3573969 4595103 10721907 13785309 23315893 32165721 69947679 96497163 163211251 209843037 489633753 629529111 1468901259 1888587333 4406703777 13220111331