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22011121111220 = 225353102115431979
BaseRepresentation
bin1010000000100110111010…
…00011100001000010110100
32212221020112212122100012222
411000103131003201002310
510341112234001024340
6114451434111101512
74431152046302513
oct500233503410264
985836485570188
1022011121111220
11701695604732a
122575a9bb11898
13c38841898397
145614b5b0667a
1528285e3778b5
hex1404dd0e10b4

22011121111220 has 96 divisors (see below), whose sum is σ = 46453231883520. Its totient is φ = 8760794296320.

The previous prime is 22011121111201. The next prime is 22011121111223. The reversal of 22011121111220 is 2211112111022.

It is a super-5 number, since 5×220111211112205 (a number of 68 digits) contains 55555 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22011121111223) 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, 11122344191 + ... + 11122346169.

It is an arithmetic number, because the mean of its divisors is an integer number (483887832120).

Almost surely, 222011121111220 is an apocalyptic number.

22011121111220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22011121111220 is an abundant number, since it is smaller than the sum of its proper divisors (24442110772300).

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

22011121111220 is a wasteful number, since it uses less digits than its factorization.

22011121111220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4905 (or 4903 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 22011121111220 its reverse (2211112111022), we get a palindrome (24222233222242).

The spelling of 22011121111220 in words is "twenty-two trillion, eleven billion, one hundred twenty-one million, one hundred eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 353 706 1021 1412 1543 1765 1979 2042 3086 3530 3958 4084 5105 6172 7060 7715 7916 9895 10210 15430 19790 20420 30860 39580 360413 544679 698587 720826 1089358 1397174 1441652 1575403 1802065 2020559 2178716 2723395 2794348 3053597 3150806 3492935 3604130 4041118 5446790 6107194 6301612 6985870 7208260 7877015 8082236 10102795 10893580 12214388 13971740 15267985 15754030 20205590 30535970 31508060 40411180 61071940 556117259 713257327 1077919741 1112234518 1426514654 2155839482 2224469036 2780586295 2853029308 3117722537 3566286635 4311678964 5389598705 5561172590 6235445074 7132573270 10779197410 11122345180 12470890148 14265146540 15588612685 21558394820 31177225370 62354450740 1100556055561 2201112111122 4402224222244 5502780277805 11005560555610 22011121111220