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22011323120 = 2451812695651
BaseRepresentation
bin10100011111111110…
…100010001011110000
32002211000012001212122
4110133332202023300
5330034344314440
614040055013412
71406314105463
oct243776421360
962730161778
1022011323120
1193758aa936
12432366a268
1320ca2b7b67
1410cb48b2da
1588c6187b5
hex51ffa22f0

22011323120 has 80 divisors (see below), whose sum is σ = 51659506080. Its totient is φ = 8721792000.

The previous prime is 22011323101. The next prime is 22011323153. The reversal of 22011323120 is 2132311022.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

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, 3892295 + ... + 3897945.

It is an arithmetic number, because the mean of its divisors is an integer number (645743826).

Almost surely, 222011323120 is an apocalyptic number.

22011323120 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 22011323120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25829753040).

22011323120 is an abundant number, since it is smaller than the sum of its proper divisors (29648182960).

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

22011323120 is a wasteful number, since it uses less digits than its factorization.

22011323120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6114 (or 6108 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 22011323120 its reverse (2132311022), we get a palindrome (24143634142).

The spelling of 22011323120 in words is "twenty-two billion, eleven million, three hundred twenty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 181 269 362 538 724 905 1076 1345 1448 1810 2152 2690 2896 3620 4304 5380 5651 7240 10760 11302 14480 21520 22604 28255 45208 48689 56510 90416 97378 113020 194756 226040 243445 389512 452080 486890 779024 973780 1022831 1520119 1947560 2045662 3040238 3895120 4091324 5114155 6080476 7600595 8182648 10228310 12160952 15201190 16365296 20456620 24321904 30402380 40913240 60804760 81826480 121609520 275141539 550283078 1100566156 1375707695 2201132312 2751415390 4402264624 5502830780 11005661560 22011323120