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13550321000 = 235322216101
BaseRepresentation
bin11001001111010100…
…10111110101101000
31021222100022121221202
430213222113311220
5210222340233000
610120330223332
7656534554016
oct144752276550
937870277852
1013550321000
1158238917a7
122761b84b48
13137c3c5328
1492789d8b6
15544909dd5
hex327a97d68

13550321000 has 64 divisors (see below), whose sum is σ = 31727226960. Its totient is φ = 5416800000.

The previous prime is 13550320879. The next prime is 13550321017. The reversal of 13550321000 is 12305531.

It can be written as a sum of positive squares in 8 ways, for example, as 1488570724 + 12061750276 = 38582^2 + 109826^2 .

It is a super-2 number, since 2×135503210002 (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2217950 + ... + 2224050.

Almost surely, 213550321000 is an apocalyptic number.

13550321000 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 13550321000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15863613480).

13550321000 is an abundant number, since it is smaller than the sum of its proper divisors (18176905960).

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

13550321000 is a wasteful number, since it uses less digits than its factorization.

13550321000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8343 (or 8329 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 20.

Adding to 13550321000 its reverse (12305531), we get a palindrome (13562626531).

The spelling of 13550321000 in words is "thirteen billion, five hundred fifty million, three hundred twenty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 2221 4442 6101 8884 11105 12202 17768 22210 24404 30505 44420 48808 55525 61010 88840 111050 122020 152525 222100 244040 277625 305050 444200 555250 610100 762625 1110500 1220200 1525250 2221000 3050500 6101000 13550321 27100642 54201284 67751605 108402568 135503210 271006420 338758025 542012840 677516050 1355032100 1693790125 2710064200 3387580250 6775160500 13550321000