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22131000222120 = 23325591041949163
BaseRepresentation
bin1010000100000110001100…
…11010000010000110101000
32220100200222110100011001100
411002003012122002012220
510400043242024101440
6115022501404321400
74442624550031536
oct502030632020650
986320873304040
1022131000222120
1170627827426a9
122595177243260
13c46c37a06c2a
14567208d81156
15285a288ee230
hex1420c66821a8

22131000222120 has 96 divisors (see below), whose sum is σ = 73144831312800. Its totient is φ = 5801572934016.

The previous prime is 22131000222113. The next prime is 22131000222203. The reversal of 22131000222120 is 2122200013122.

22131000222120 is a `hidden beast` number, since 221 + 3 + 100 + 0 + 222 + 120 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 22131000222093 and 22131000222102.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 520953342 + ... + 520995821.

It is an arithmetic number, because the mean of its divisors is an integer number (761925326175).

Almost surely, 222131000222120 is an apocalyptic number.

22131000222120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22131000222120 is an abundant number, since it is smaller than the sum of its proper divisors (51013831090680).

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

22131000222120 is a wasteful number, since it uses less digits than its factorization.

22131000222120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1041949239 (or 1041949232 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 22131000222120 its reverse (2122200013122), we get a palindrome (24253200235242).

The spelling of 22131000222120 in words is "twenty-two trillion, one hundred thirty-one billion, two hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 59 60 72 90 118 120 177 180 236 295 354 360 472 531 590 708 885 1062 1180 1416 1770 2124 2360 2655 3540 4248 5310 7080 10620 21240 1041949163 2083898326 3125847489 4167796652 5209745815 6251694978 8335593304 9377542467 10419491630 12503389956 15629237445 18755084934 20838983260 25006779912 31258474890 37510169868 41677966520 46887712335 61475000617 62516949780 75020339736 93775424670 122950001234 125033899560 184425001851 187550849340 245900002468 307375003085 368850003702 375101698680 491800004936 553275005553 614750006170 737700007404 922125009255 1106550011106 1229500012340 1475400014808 1844250018510 2213100022212 2459000024680 2766375027765 3688500037020 4426200044424 5532750055530 7377000074040 11065500111060 22131000222120