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1110221102120 = 235132973622089
BaseRepresentation
bin10000001001111110010…
…101011001110000101000
310221010200012212112221112
4100021332111121300220
5121142213100231440
62210010055125452
7143132212443044
oct20117625316050
93833605775845
101110221102120
11398929961329
1215b202973888
138090252a9b0
143ba40b43024
151dd2ce85965
hex1027e559c28

1110221102120 has 64 divisors (see below), whose sum is σ = 2782915002000. Its totient is φ = 395792345088.

The previous prime is 1110221102113. The next prime is 1110221102161. The reversal of 1110221102120 is 212011220111.

It can be written as a sum of positive squares in 8 ways, for example, as 592336493956 + 517884608164 = 769634^2 + 719642^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1110221102095 and 1110221102104.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36795965 + ... + 36826124.

Almost surely, 21110221102120 is an apocalyptic number.

1110221102120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1110221102120 is an abundant number, since it is smaller than the sum of its proper divisors (1672693899880).

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

1110221102120 is a wasteful number, since it uses less digits than its factorization.

1110221102120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73622142 (or 73622138 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 1110221102120 its reverse (212011220111), we get a palindrome (1322232322231).

The spelling of 1110221102120 in words is "one trillion, one hundred ten billion, two hundred twenty-one million, one hundred two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 29 40 52 58 65 104 116 130 145 232 260 290 377 520 580 754 1160 1508 1885 3016 3770 7540 15080 73622089 147244178 294488356 368110445 588976712 736220890 957087157 1472441780 1914174314 2135040581 2944883560 3828348628 4270081162 4785435785 7656697256 8540162324 9570871570 10675202905 17080324648 19141743140 21350405810 27755527553 38283486280 42700811620 55511055106 85401623240 111022110212 138777637765 222044220424 277555275530 555110551060 1110221102120