Search a number
-
+
11123020000 = 25544711833
BaseRepresentation
bin10100101101111101…
…11101000011100000
31001201011220221221201
422112332331003200
5140234443120000
65035420530544
7542432052511
oct122676750340
931634827851
1011123020000
114798722614
1221a50b0a54
13108356b051
14777374a08
1545178e96a
hex296fbd0e0

11123020000 has 120 divisors (see below), whose sum is σ = 27948878496. Its totient is φ = 4354176000.

The previous prime is 11123019997. The next prime is 11123020019. The reversal of 11123020000 is 2032111.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 934084 + ... + 945916.

Almost surely, 211123020000 is an apocalyptic number.

11123020000 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 11123020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13974439248).

11123020000 is an abundant number, since it is smaller than the sum of its proper divisors (16825858496).

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

11123020000 is an equidigital number, since it uses as much as digits as its factorization.

11123020000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11910 (or 11887 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 11123020000 its reverse (2032111), we get a palindrome (11125052111).

The spelling of 11123020000 in words is "eleven billion, one hundred twenty-three million, twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 47 50 80 94 100 125 160 188 200 235 250 376 400 470 500 625 752 800 940 1000 1175 1250 1504 1880 2000 2350 2500 3760 4000 4700 5000 5875 7520 9400 10000 11750 11833 18800 20000 23500 23666 29375 37600 47000 47332 58750 59165 94000 94664 117500 118330 188000 189328 235000 236660 295825 378656 470000 473320 556151 591650 940000 946640 1112302 1183300 1479125 1893280 2224604 2366600 2780755 2958250 4449208 4733200 5561510 5916500 7395625 8898416 9466400 11123020 11833000 13903775 14791250 17796832 22246040 23666000 27807550 29582500 44492080 47332000 55615100 59165000 69518875 88984160 111230200 118330000 139037750 222460400 236660000 278075500 347594375 444920800 556151000 695188750 1112302000 1390377500 2224604000 2780755000 5561510000 11123020000