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11121130420 = 22543103223563
BaseRepresentation
bin10100101101101111…
…01111101110110100
31001201001100221221021
422112313233232310
5140234002133140
65035312230524
7542410022521
oct122667575664
931631327837
1011121130420
114797651984
1221a453b444
131083058c5a
14777002148
15451519b4a
hex296defbb4

11121130420 has 96 divisors (see below), whose sum is σ = 24280768512. Its totient is φ = 4275911808.

The previous prime is 11121130411. The next prime is 11121130429. The reversal of 11121130420 is 2403112111.

It is an interprime number because it is at equal distance from previous prime (11121130411) and next prime (11121130429).

It is a junction number, because it is equal to n+sod(n) for n = 11121130394 and 11121130403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11121130429) 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, 19753059 + ... + 19753621.

It is an arithmetic number, because the mean of its divisors is an integer number (252924672).

Almost surely, 211121130420 is an apocalyptic number.

11121130420 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 11121130420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12140384256).

11121130420 is an abundant number, since it is smaller than the sum of its proper divisors (13159638092).

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

11121130420 is a wasteful number, since it uses less digits than its factorization.

11121130420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 941 (or 939 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 11121130420 its reverse (2403112111), we get a palindrome (13524242531).

The spelling of 11121130420 in words is "eleven billion, one hundred twenty-one million, one hundred thirty thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 43 86 103 172 206 215 223 412 430 446 515 563 860 892 1030 1115 1126 2060 2230 2252 2815 4429 4460 5630 8858 9589 11260 17716 19178 22145 22969 24209 38356 44290 45938 47945 48418 57989 88580 91876 95890 96836 114845 115978 121045 125549 191780 229690 231956 242090 251098 289945 459380 484180 502196 579890 627745 987667 1159780 1255490 1975334 2493527 2510980 3950668 4938335 4987054 5398607 9876670 9974108 10797214 12467635 12931547 19753340 21594428 24935270 25863094 26993035 49870540 51726188 53986070 64657735 107972140 129315470 258630940 556056521 1112113042 2224226084 2780282605 5560565210 11121130420