Search a number
-
+
13220103220 = 2255411221821
BaseRepresentation
bin11000100111111101…
…01100010000110100
31021010022221211022121
430103332230100310
5204033321300340
610023452405324
7645415010662
oct142376542064
937108854277
1013220103220
115674449245
12268b476844
131328b773ac
148d5aa1c32
1552592c94a
hex313fac434

13220103220 has 24 divisors (see below), whose sum is σ = 27813556008. Its totient is φ = 5278262400.

The previous prime is 13220103217. The next prime is 13220103257. The reversal of 13220103220 is 2230102231.

13220103220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1804890256 + 11415212964 = 42484^2 + 106842^2 .

It is a super-2 number, since 2×132201032202 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13220103194 and 13220103203.

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 7 ways as a sum of consecutive naturals, for example, 600091 + ... + 621730.

It is an arithmetic number, because the mean of its divisors is an integer number (1158898167).

Almost surely, 213220103220 is an apocalyptic number.

13220103220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13220103220 is an abundant number, since it is smaller than the sum of its proper divisors (14593452788).

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

13220103220 is a wasteful number, since it uses less digits than its factorization.

13220103220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1222371 (or 1222369 counting only the distinct ones).

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

Adding to 13220103220 its reverse (2230102231), we get a palindrome (15450205451).

The spelling of 13220103220 in words is "thirteen billion, two hundred twenty million, one hundred three thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 541 1082 2164 2705 5410 10820 1221821 2443642 4887284 6109105 12218210 24436420 661005161 1322010322 2644020644 3305025805 6610051610 13220103220