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13220310220 = 22513317322469
BaseRepresentation
bin11000100111111110…
…11110110011001100
31021010100100100021021
430103333132303030
5204033344411340
610023501043524
7645416532325
oct142377366314
937110310237
1013220310220
11567457a817
12268b5565a4
131328c1a690
148d5b1744c
1552596de4a
hex313fdeccc

13220310220 has 96 divisors (see below), whose sum is σ = 31286868480. Its totient is φ = 4658964480.

The previous prime is 13220310203. The next prime is 13220310223. The reversal of 13220310220 is 2201302231.

It is a junction number, because it is equal to n+sod(n) for n = 13220310194 and 13220310203.

It is not an unprimeable number, because it can be changed into a prime (13220310223) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 577146 + ... + 599614.

It is an arithmetic number, because the mean of its divisors is an integer number (325904880).

Almost surely, 213220310220 is an apocalyptic number.

13220310220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13220310220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15643434240).

13220310220 is an abundant number, since it is smaller than the sum of its proper divisors (18066558260).

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

13220310220 is a wasteful number, since it uses less digits than its factorization.

13220310220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22595 (or 22593 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 13220310220 its reverse (2201302231), we get a palindrome (15421612451).

The spelling of 13220310220 in words is "thirteen billion, two hundred twenty million, three hundred ten thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 31 52 62 65 73 124 130 146 155 260 292 310 365 403 620 730 806 949 1460 1612 1898 2015 2263 3796 4030 4526 4745 8060 9052 9490 11315 18980 22469 22630 29419 44938 45260 58838 89876 112345 117676 147095 224690 292097 294190 449380 584194 588380 696539 1168388 1393078 1460485 1640237 2786156 2920970 3280474 3482695 5841940 6560948 6965390 8201185 9055007 13930780 16402370 18110014 21323081 32804740 36220028 42646162 45275035 50847347 85292324 90550070 101694694 106615405 181100140 203389388 213230810 254236735 426461620 508473470 661015511 1016946940 1322031022 2644062044 3305077555 6610155110 13220310220