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11020111110 = 23251710369929
BaseRepresentation
bin10100100001101100…
…11000110100000110
31001110000021122111100
422100312120310012
5140032122023420
65021303120530
7540042253551
oct122066306406
931400248440
1011020111110
114745624648
122176743146
131068149508
14767827698
15447713190
hex290d98d06

11020111110 has 96 divisors (see below), whose sum is σ = 30632696640. Its totient is φ = 2738939904.

The previous prime is 11020111087. The next prime is 11020111129. The reversal of 11020111110 is 1111102011.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 11020111092 and 11020111101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 122626 + ... + 192554.

It is an arithmetic number, because the mean of its divisors is an integer number (319090590).

Almost surely, 211020111110 is an apocalyptic number.

11020111110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11020111110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15316348320).

11020111110 is an abundant number, since it is smaller than the sum of its proper divisors (19612585530).

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

11020111110 is a wasteful number, since it uses less digits than its factorization.

11020111110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70062 (or 70059 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 11020111110 its reverse (1111102011), we get a palindrome (12131213121).

Subtracting from 11020111110 its reverse (1111102011), we obtain a palindrome (9909009099).

The spelling of 11020111110 in words is "eleven billion, twenty million, one hundred eleven thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 45 51 85 90 102 103 153 170 206 255 306 309 510 515 618 765 927 1030 1530 1545 1751 1854 3090 3502 4635 5253 8755 9270 10506 15759 17510 26265 31518 52530 69929 78795 139858 157590 209787 349645 419574 629361 699290 1048935 1188793 1258722 2097870 2377586 3146805 3566379 5943965 6293610 7132758 7202687 10699137 11887930 14405374 17831895 21398274 21608061 35663790 36013435 43216122 53495685 64824183 72026870 106991370 108040305 122445679 129648366 216080610 244891358 324120915 367337037 612228395 648241830 734674074 1102011111 1224456790 1836685185 2204022222 3673370370 5510055555 11020111110