Search a number
-
+
22121111000 = 2353195712039
BaseRepresentation
bin10100100110100001…
…010101110111011000
32010002122202212112102
4110212201111313120
5330301001023000
614055020102532
71412116224662
oct244641256730
963078685472
1022121111000
11942187711a
124354394a48
132116c777c1
1410dbca9532
158970a33d5
hex526855dd8

22121111000 has 128 divisors (see below), whose sum is σ = 54609984000. Its totient is φ = 8363952000.

The previous prime is 22121110993. The next prime is 22121111003. The reversal of 22121111000 is 11112122.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22121111003) 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 31 ways as a sum of consecutive naturals, for example, 10847981 + ... + 10850019.

It is an arithmetic number, because the mean of its divisors is an integer number (426640500).

Almost surely, 222121111000 is an apocalyptic number.

22121111000 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 22121111000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27304992000).

22121111000 is an abundant number, since it is smaller than the sum of its proper divisors (32488873000).

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

22121111000 is a wasteful number, since it uses less digits than its factorization.

22121111000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2650 (or 2636 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 22121111000 its reverse (11112122), we get a palindrome (22132223122).

The spelling of 22121111000 in words is "twenty-two billion, one hundred twenty-one million, one hundred eleven thousand".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 76 95 100 125 152 190 200 250 380 475 500 571 760 950 1000 1142 1900 2039 2284 2375 2855 3800 4078 4568 4750 5710 8156 9500 10195 10849 11420 14275 16312 19000 20390 21698 22840 28550 38741 40780 43396 50975 54245 57100 71375 77482 81560 86792 101950 108490 114200 142750 154964 193705 203900 216980 254875 271225 285500 309928 387410 407800 433960 509750 542450 571000 774820 968525 1019500 1084900 1164269 1356125 1549640 1937050 2039000 2169800 2328538 2712250 3874100 4657076 4842625 5424500 5821345 7748200 9314152 9685250 10849000 11642690 19370500 22121111 23285380 29106725 38741000 44242222 46570760 58213450 88484444 110605555 116426900 145533625 176968888 221211110 232853800 291067250 442422220 553027775 582134500 884844440 1106055550 1164269000 2212111100 2765138875 4424222200 5530277750 11060555500 22121111000