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22131110000 = 245417130183
BaseRepresentation
bin10100100111000111…
…011111000001110000
32010010100120212120202
4110213013133001300
5330311031010000
614100014254332
71412300221406
oct244707370160
963110525522
1022131110000
11942748655a
1243577b73a8
132119068a7c
1410dd34d476
15897dcadd5
hex5271df070

22131110000 has 100 divisors (see below), whose sum is σ = 56733926832. Its totient is φ = 8331648000.

The previous prime is 22131109999. The next prime is 22131110009. The reversal of 22131110000 is 1113122.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22131110009) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 104909 + ... + 235091.

Almost surely, 222131110000 is an apocalyptic number.

22131110000 is a gapful number since it is divisible by the number (20) 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 22131110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28366963416).

22131110000 is an abundant number, since it is smaller than the sum of its proper divisors (34602816832).

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

22131110000 is a wasteful number, since it uses less digits than its factorization.

22131110000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130228 (or 130207 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 22131110000 its reverse (1113122), we get a palindrome (22132223122).

The spelling of 22131110000 in words is "twenty-two billion, one hundred thirty-one million, one hundred ten thousand".

Divisors: 1 2 4 5 8 10 16 17 20 25 34 40 50 68 80 85 100 125 136 170 200 250 272 340 400 425 500 625 680 850 1000 1250 1360 1700 2000 2125 2500 3400 4250 5000 6800 8500 10000 10625 17000 21250 34000 42500 85000 130183 170000 260366 520732 650915 1041464 1301830 2082928 2213111 2603660 3254575 4426222 5207320 6509150 8852444 10414640 11065555 13018300 16272875 17704888 22131110 26036600 32545750 35409776 44262220 52073200 55327775 65091500 81364375 88524440 110655550 130183000 162728750 177048880 221311100 260366000 276638875 325457500 442622200 553277750 650915000 885244400 1106555500 1301830000 1383194375 2213111000 2766388750 4426222000 5532777500 11065555000 22131110000