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11010110120 = 2351922333151
BaseRepresentation
bin10100100000100000…
…01111001010101000
31001102022110112201022
422100100033022220
5140022042010440
65020304512012
7536561251262
oct122020171250
931368415638
1011010110120
11473aa13769
12217331b608
131066057379
14766382b32
154468d9cb5
hex29040f2a8

11010110120 has 96 divisors (see below), whose sum is σ = 27282769920. Its totient is φ = 3990729600.

The previous prime is 11010110117. The next prime is 11010110173. The reversal of 11010110120 is 2101101011.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a junction number, because it is equal to n+sod(n) for n = 11010110098 and 11010110107.

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, 315545 + ... + 348695.

It is an arithmetic number, because the mean of its divisors is an integer number (284195520).

Almost surely, 211010110120 is an apocalyptic number.

11010110120 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 11010110120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13641384960).

11010110120 is an abundant number, since it is smaller than the sum of its proper divisors (16272659800).

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

11010110120 is a wasteful number, since it uses less digits than its factorization.

11010110120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33223 (or 33200 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 11010110120 its reverse (2101101011), we get a palindrome (13111211131).

The spelling of 11010110120 in words is "eleven billion, ten million, one hundred ten thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 19 20 23 38 40 46 76 92 95 115 152 184 190 230 361 380 437 460 722 760 874 920 1444 1748 1805 2185 2888 3496 3610 4370 7220 8303 8740 14440 16606 17480 33151 33212 41515 66302 66424 83030 132604 165755 166060 265208 331510 332120 629869 663020 762473 1259738 1326040 1524946 2519476 3049892 3149345 3812365 5038952 6099784 6298690 7624730 11967511 12597380 14486987 15249460 23935022 25194760 28973974 30498920 47870044 57947948 59837555 72434935 95740088 115895896 119675110 144869870 239350220 275252753 289739740 478700440 550505506 579479480 1101011012 1376263765 2202022024 2752527530 5505055060 11010110120