Search a number
-
+
11123210200 = 23521091812819
BaseRepresentation
bin10100101101111111…
…01011011111011000
31001201012021121212011
422112333223133120
5140240020211300
65035424555304
7542433504154
oct122677533730
931635247764
1011123210200
114798842503
1221a5182b34
1310836067ab
147773c4064
154517caeba
hex296feb7d8

11123210200 has 96 divisors (see below), whose sum is σ = 26252226000. Its totient is φ = 4382553600.

The previous prime is 11123210173. The next prime is 11123210213. The reversal of 11123210200 is 201232111.

It is a congruent number.

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, 3944391 + ... + 3947209.

Almost surely, 211123210200 is an apocalyptic number.

11123210200 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 11123210200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13126113000).

11123210200 is an abundant number, since it is smaller than the sum of its proper divisors (15129015800).

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

11123210200 is a wasteful number, since it uses less digits than its factorization.

11123210200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3125 (or 3116 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 11123210200 its reverse (201232111), we get a palindrome (11324442311).

The spelling of 11123210200 in words is "eleven billion, one hundred twenty-three million, two hundred ten thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 109 181 200 218 362 436 545 724 872 905 1090 1448 1810 2180 2725 2819 3620 4360 4525 5450 5638 7240 9050 10900 11276 14095 18100 19729 21800 22552 28190 36200 39458 56380 70475 78916 98645 112760 140950 157832 197290 281900 307271 394580 493225 510239 563800 614542 789160 986450 1020478 1229084 1536355 1972900 2040956 2458168 2551195 3072710 3945800 4081912 5102390 6145420 7681775 10204780 12290840 12755975 15363550 20409560 25511950 30727100 51023900 55616051 61454200 102047800 111232102 222464204 278080255 444928408 556160510 1112321020 1390401275 2224642040 2780802550 5561605100 11123210200