Search a number
-
+
13321303220 = 2256145723893
BaseRepresentation
bin11000110100000001…
…01111010010110100
31021101101101022121202
430122000233102310
5204240223200340
610041505432032
7651054131501
oct143200572264
937341338552
1013321303220
11571658a305
1226b933b618
131343b1b154
149052c64a8
1552e76cc15
hex31a02f4b4

13321303220 has 48 divisors (see below), whose sum is σ = 28496749008. Its totient is φ = 5229480960.

The previous prime is 13321303187. The next prime is 13321303249. The reversal of 13321303220 is 2230312331.

It can be written as a sum of positive squares in 8 ways, for example, as 88021924 + 13233281296 = 9382^2 + 115036^2 .

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 = 13321303192 and 13321303201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 545594 + ... + 569486.

It is an arithmetic number, because the mean of its divisors is an integer number (593682271).

Almost surely, 213321303220 is an apocalyptic number.

13321303220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13321303220 is an abundant number, since it is smaller than the sum of its proper divisors (15175445788).

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

13321303220 is a wasteful number, since it uses less digits than its factorization.

13321303220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24420 (or 24418 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 13321303220 its reverse (2230312331), we get a palindrome (15551615551).

The spelling of 13321303220 in words is "thirteen billion, three hundred twenty-one million, three hundred three thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 61 122 244 305 457 610 914 1220 1828 2285 4570 9140 23893 27877 47786 55754 95572 111508 119465 139385 238930 278770 477860 557540 1457473 2914946 5829892 7287365 10919101 14574730 21838202 29149460 43676404 54595505 109191010 218382020 666065161 1332130322 2664260644 3330325805 6660651610 13321303220