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13220110033 = 1317327721221
BaseRepresentation
bin11000100111111101…
…01101111011010001
31021010022222011122221
430103332231323101
5204033322010113
610023452501041
7645415036564
oct142376557321
937108864587
1013220110033
115674453379
12268b47a781
131328b7a520
148d5aa44db
1552592e98d
hex313faded1

13220110033 has 16 divisors (see below), whose sum is σ = 14371708176. Its totient is φ = 12088270080.

The previous prime is 13220110031. The next prime is 13220110087. The reversal of 13220110033 is 33001102231.

It can be written as a sum of positive squares in 8 ways, for example, as 346257664 + 12873852369 = 18608^2 + 113463^2 .

It is a cyclic number.

It is not a de Polignac number, because 13220110033 - 21 = 13220110031 is a prime.

It is a super-2 number, since 2×132201100332 (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 = 13220109989 and 13220110016.

It is not an unprimeable number, because it can be changed into a prime (13220110031) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 612363 + ... + 633583.

It is an arithmetic number, because the mean of its divisors is an integer number (898231761).

Almost surely, 213220110033 is an apocalyptic number.

13220110033 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

13220110033 is a deficient number, since it is larger than the sum of its proper divisors (1151598143).

13220110033 is a wasteful number, since it uses less digits than its factorization.

13220110033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21684.

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 13220110033 its reverse (33001102231), we get a palindrome (46221212264).

The spelling of 13220110033 in words is "thirteen billion, two hundred twenty million, one hundred ten thousand, thirty-three".

Divisors: 1 13 173 277 2249 3601 21221 47921 275873 622973 3671233 5878217 47726029 76416821 1016931541 13220110033