Search a number
-
+
1122110000 = 2454111012
BaseRepresentation
bin100001011100010…
…0000101000110000
32220012110002112122
41002320200220300
54244230010000
6303202413412
736543530504
oct10270405060
92805402478
101122110000
11526446940
12273961268
1314b62261b
14a9056304
15687a2085
hex42e20a30

1122110000 has 150 divisors (see below), whose sum is σ = 2993351196. Its totient is φ = 404000000.

The previous prime is 1122109997. The next prime is 1122110023. The reversal of 1122110000 is 112211.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a zygodrome in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 1122110000.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 11109950 + ... + 11110050.

Almost surely, 21122110000 is an apocalyptic number.

1122110000 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 1122110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1496675598).

1122110000 is an abundant number, since it is smaller than the sum of its proper divisors (1871241196).

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

1122110000 is an equidigital number, since it uses as much as digits as its factorization.

1122110000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

The square root of 1122110000 is about 33497.9103825895. The cubic root of 1122110000 is about 1039.1505637951.

Adding to 1122110000 its reverse (112211), we get a palindrome (1122222211).

Multiplying 1122110000 by its reverse (112211), we get a square (125913085210000 = 112211002).

1122110000 divided by its reverse (112211) gives a 4-th power (10000 = 104).

It can be divided in two parts, 112 and 2110000, that added together give a palindrome (2110112).

The spelling of 1122110000 in words is "one billion, one hundred twenty-two million, one hundred ten thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 101 110 125 176 200 202 220 250 275 400 404 440 500 505 550 625 808 880 1000 1010 1100 1111 1250 1375 1616 2000 2020 2200 2222 2500 2525 2750 4040 4400 4444 5000 5050 5500 5555 6875 8080 8888 10000 10100 10201 11000 11110 12625 13750 17776 20200 20402 22000 22220 25250 27500 27775 40400 40804 44440 50500 51005 55000 55550 63125 81608 88880 101000 102010 110000 111100 112211 126250 138875 163216 202000 204020 222200 224422 252500 255025 277750 408040 444400 448844 505000 510050 555500 561055 694375 816080 897688 1010000 1020100 1111000 1122110 1275125 1388750 1795376 2040200 2222000 2244220 2550250 2777500 2805275 4080400 4488440 5100500 5555000 5610550 6375625 8976880 10201000 11110000 11221100 12751250 14026375 20402000 22442200 25502500 28052750 44884400 51005000 56105500 70131875 102010000 112211000 140263750 224422000 280527500 561055000 1122110000