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22121332230300 = 223521918232128873
BaseRepresentation
bin1010000011110100001100…
…01001100100100010011100
32220022210000200022021112020
411001322012021210202130
510344413442022332200
6115014222201540140
74442133143330502
oct501720611444234
986283020267466
1022121332230300
117059671384316
1225933194a4650
13c46056a43604
1456696cd64672
1528565ec73ea0
hex141e8626489c

22121332230300 has 144 divisors (see below), whose sum is σ = 67410028815360. Its totient is φ = 5585478888960.

The previous prime is 22121332230269. The next prime is 22121332230307. The reversal of 22121332230300 is 303223312122.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22121332230307) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9326664 + ... + 11455536.

Almost surely, 222121332230300 is an apocalyptic number.

22121332230300 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 22121332230300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33705014407680).

22121332230300 is an abundant number, since it is smaller than the sum of its proper divisors (45288696585060).

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

22121332230300 is a wasteful number, since it uses less digits than its factorization.

22121332230300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2130732 (or 2130725 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 22121332230300 its reverse (303223312122), we get a palindrome (22424555542422).

The spelling of 22121332230300 in words is "twenty-two trillion, one hundred twenty-one billion, three hundred thirty-two million, two hundred thirty thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 25 30 38 50 57 60 75 76 95 100 114 150 190 228 285 300 380 475 570 950 1140 1425 1823 1900 2850 3646 5469 5700 7292 9115 10938 18230 21876 27345 34637 36460 45575 54690 69274 91150 103911 109380 136725 138548 173185 182300 207822 273450 346370 415644 519555 546900 692740 865925 1039110 1731850 2078220 2128873 2597775 3463700 4257746 5195550 6386619 8515492 10391100 10644365 12773238 21288730 25546476 31933095 40448587 42577460 53221825 63866190 80897174 106443650 121345761 127732380 159665475 161794348 202242935 212887300 242691522 319330950 404485870 485383044 606728805 638661900 808971740 1011214675 1213457610 2022429350 2426915220 3033644025 3880935479 4044858700 6067288050 7761870958 11642806437 12134576100 15523741916 19404677395 23285612874 38809354790 46571225748 58214032185 73737774101 77618709580 97023386975 116428064370 147475548202 194046773950 221213322303 232856128740 291070160925 294951096404 368688870505 388093547900 442426644606 582140321850 737377741010 884853289212 1106066611515 1164280643700 1474755482020 1843444352525 2212133223030 3686888705050 4424266446060 5530333057575 7373777410100 11060666115150 22121332230300