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110022200120120 = 2356146153976991
BaseRepresentation
bin11001000001000010001010…
…001001111101001100111000
3112102120000112021222201210012
4121001002022021331030320
5103410100431212320440
61025555300113241052
732113561453443041
oct3101021211751470
9472500467881705
10110022200120120
1132069175771002
121040b058263188
134951083720302
141d251624d58c8
15cabde36c0e65
hex64108a27d338

110022200120120 has 64 divisors (see below), whose sum is σ = 251613855325440. Its totient is φ = 43286440780800.

The previous prime is 110022200120101. The next prime is 110022200120167. The reversal of 110022200120120 is 21021002220011.

It is a junction number, because it is equal to n+sod(n) for n = 110022200120095 and 110022200120104.

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, 112124825 + ... + 113101815.

It is an arithmetic number, because the mean of its divisors is an integer number (3931466489460).

Almost surely, 2110022200120120 is an apocalyptic number.

110022200120120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110022200120120 is an abundant number, since it is smaller than the sum of its proper divisors (141591655205320).

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

110022200120120 is a wasteful number, since it uses less digits than its factorization.

110022200120120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1023216 (or 1023212 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 110022200120120 its reverse (21021002220011), we get a palindrome (131043202340131).

The spelling of 110022200120120 in words is "one hundred ten trillion, twenty-two billion, two hundred million, one hundred twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 61 122 244 305 488 610 1220 2440 46153 92306 184612 230765 369224 461530 923060 976991 1846120 1953982 2815333 3907964 4884955 5630666 7815928 9769910 11261332 14076665 19539820 22522664 28153330 39079640 56306660 59596451 112613320 119192902 238385804 297982255 476771608 595964510 1191929020 2383858040 45091065623 90182131246 180364262492 225455328115 360728524984 450910656230 901821312460 1803642624920 2750555003003 5501110006006 11002220012012 13752775015015 22004440024024 27505550030030 55011100060060 110022200120120