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13222130000 = 245411311701
BaseRepresentation
bin11000101000001100…
…11011000101010000
31021010110202210112112
430110012123011100
5204034331130000
610024004044452
7645441151652
oct142406330520
937113683475
1013222130000
115675602a72
122690093728
131329406a81
148d606c6d2
15525bcd235
hex31419b150

13222130000 has 100 divisors (see below), whose sum is σ = 32298151908. Its totient is φ = 5241600000.

The previous prime is 13222129997. The next prime is 13222130021. The reversal of 13222130000 is 3122231.

It is a happy number.

It can be written as a sum of positive squares in 10 ways, for example, as 11870538304 + 1351591696 = 108952^2 + 36764^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is a congruent number.

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 19 ways as a sum of consecutive naturals, for example, 1124150 + ... + 1135850.

Almost surely, 213222130000 is an apocalyptic number.

13222130000 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 13222130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16149075954).

13222130000 is an abundant number, since it is smaller than the sum of its proper divisors (19076021908).

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

13222130000 is a wasteful number, since it uses less digits than its factorization.

13222130000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11842 (or 11821 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 13222130000 its reverse (3122231), we get a palindrome (13225252231).

The spelling of 13222130000 in words is "thirteen billion, two hundred twenty-two million, one hundred thirty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 113 125 200 226 250 400 452 500 565 625 904 1000 1130 1250 1808 2000 2260 2500 2825 4520 5000 5650 9040 10000 11300 11701 14125 22600 23402 28250 45200 46804 56500 58505 70625 93608 113000 117010 141250 187216 226000 234020 282500 292525 468040 565000 585050 936080 1130000 1170100 1322213 1462625 2340200 2644426 2925250 4680400 5288852 5850500 6611065 7313125 10577704 11701000 13222130 14626250 21155408 23402000 26444260 29252500 33055325 52888520 58505000 66110650 105777040 117010000 132221300 165276625 264442600 330553250 528885200 661106500 826383125 1322213000 1652766250 2644426000 3305532500 6611065000 13222130000