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110001222102220 = 225171932535234569
BaseRepresentation
bin11001000000101110100111…
…110001001010110011001100
3112102111000101022011000012021
4121000232213301022303030
5103404230000324232340
61025541510325415524
732112216554311021
oct3100564761126314
9472430338130167
10110001222102220
1132060290172729
1210406b8286a5a4
13494c0bc533b77
141d24132385548
15cab5b6b66e4a
hex640ba7c4accc

110001222102220 has 96 divisors (see below), whose sum is σ = 257543356593600. Its totient is φ = 39220566073344.

The previous prime is 110001222102209. The next prime is 110001222102221. The reversal of 110001222102220 is 22201222100011.

It is a happy number.

It is a super-2 number, since 2×1100012221022202 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 110001222102194 and 110001222102203.

It is not an unprimeable number, because it can be changed into a prime (110001222102221) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18397096 + ... + 23631664.

It is an arithmetic number, because the mean of its divisors is an integer number (2682743297850).

Almost surely, 2110001222102220 is an apocalyptic number.

110001222102220 is a gapful number since it is divisible by the number (10) 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 110001222102220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128771678296800).

110001222102220 is an abundant number, since it is smaller than the sum of its proper divisors (147542134491380).

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

110001222102220 is a wasteful number, since it uses less digits than its factorization.

110001222102220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5237867 (or 5237865 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 110001222102220 its reverse (22201222100011), we get a palindrome (132202444202231).

The spelling of 110001222102220 in words is "one hundred ten trillion, one billion, two hundred twenty-two million, one hundred two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 17 19 20 34 38 68 76 85 95 170 190 323 340 380 646 1292 1615 3230 3253 6460 6506 13012 16265 32530 55301 61807 65060 110602 123614 221204 247228 276505 309035 553010 618070 1050719 1106020 1236140 2101438 4202876 5234569 5253595 10469138 10507190 20938276 21014380 26172845 52345690 88987673 99456811 104691380 177975346 198913622 355950692 397827244 444938365 497284055 889876730 994568110 1690765787 1779753460 1989136220 3381531574 6763063148 8453828935 16907657870 17028052957 33815315740 34056105914 68112211828 85140264785 170280529570 289476900269 323533006183 340561059140 578953800538 647066012366 1157907601076 1294132024732 1447384501345 1617665030915 2894769002690 3235330061830 5500061105111 5789538005380 6470660123660 11000122210222 22000244420444 27500305525555 55000611051110 110001222102220