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13122313220 = 2254127159051
BaseRepresentation
bin11000011100010011…
…01001110000000100
31020212111221120122202
430032021221300010
5203333303010340
610010040414032
7643116551642
oct141611516004
936774846582
1013122313220
115624227165
122662777318
1313118287a3
148c6ac8192
1551c062c15
hex30e269c04

13122313220 has 48 divisors (see below), whose sum is σ = 28333622016. Its totient is φ = 5101920000.

The previous prime is 13122313199. The next prime is 13122313247. The reversal of 13122313220 is 2231322131.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 13122313192 and 13122313201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 192695 + ... + 251745.

It is an arithmetic number, because the mean of its divisors is an integer number (590283792).

Almost surely, 213122313220 is an apocalyptic number.

13122313220 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 13122313220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14166811008).

13122313220 is an abundant number, since it is smaller than the sum of its proper divisors (15211308796).

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

13122313220 is a wasteful number, since it uses less digits than its factorization.

13122313220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59372 (or 59370 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 13122313220 its reverse (2231322131), we get a palindrome (15353635351).

The spelling of 13122313220 in words is "thirteen billion, one hundred twenty-two million, three hundred thirteen thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 41 82 164 205 271 410 542 820 1084 1355 2710 5420 11111 22222 44444 55555 59051 111110 118102 222220 236204 295255 590510 1181020 2421091 4842182 9684364 12105455 16002821 24210910 32005642 48421820 64011284 80014105 160028210 320056420 656115661 1312231322 2624462644 3280578305 6561156610 13122313220