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11120111020 = 22541163271307
BaseRepresentation
bin10100101101100111…
…10110110110101100
31001200222110011120201
422112303312312230
5140233222023040
65035234323244
7542365245514
oct122663666654
931628404521
1011120111020
114797015aa7
1221a4129524
131082a8cc65
14776c18844
154513b7a9a
hex296cf6dac

11120111020 has 96 divisors (see below), whose sum is σ = 24236061696. Its totient is φ = 4283020800.

The previous prime is 11120110999. The next prime is 11120111053. The reversal of 11120111020 is 2011102111.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 11120110988 and 11120111006.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36221707 + ... + 36222013.

It is an arithmetic number, because the mean of its divisors is an integer number (252458976).

Almost surely, 211120111020 is an apocalyptic number.

11120111020 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 11120111020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12118030848).

11120111020 is an abundant number, since it is smaller than the sum of its proper divisors (13115950676).

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

11120111020 is a wasteful number, since it uses less digits than its factorization.

11120111020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 791 (or 789 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 11120111020 its reverse (2011102111), we get a palindrome (13131213131).

It can be divided in two parts, 111201 and 11020, that added together give a palindrome (122221).

The spelling of 11120111020 in words is "eleven billion, one hundred twenty million, one hundred eleven thousand, twenty".

Divisors: 1 2 4 5 10 20 41 82 163 164 205 271 307 326 410 542 614 652 815 820 1084 1228 1355 1535 1630 2710 3070 3260 5420 6140 6683 11111 12587 13366 22222 25174 26732 33415 44173 44444 50041 50348 55555 62935 66830 83197 88346 100082 111110 125870 133660 166394 176692 200164 220865 222220 250205 251740 332788 415985 441730 500410 831970 883460 1000820 1663940 1811093 2051681 3411077 3622186 4103362 6822154 7244372 8206724 9055465 10258405 13561111 13644308 17055385 18110930 20516810 27122222 34110770 36221860 41033620 54244444 67805555 68221540 135611110 271222220 556005551 1112011102 2224022204 2780027755 5560055510 11120111020