Search a number
-
+
11101121000 = 235311101121
BaseRepresentation
bin10100101011010110…
…11010100111101000
31001122122201101011122
422111223122213220
5140213341333000
65033315314412
7542044654154
oct122553324750
931578641148
1011101121000
114787325572
1221998aba08
13107bb71468
147744b4064
1544e8b6085
hex295ada9e8

11101121000 has 32 divisors (see below), whose sum is σ = 25976625480. Its totient is φ = 4440448000.

The previous prime is 11101120997. The next prime is 11101121029. The reversal of 11101121000 is 12110111.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 5319951844 + 5781169156 = 72938^2 + 76034^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5549561 + ... + 5551560.

Almost surely, 211101121000 is an apocalyptic number.

11101121000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11101121000 is an abundant number, since it is smaller than the sum of its proper divisors (14875504480).

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

11101121000 is a wasteful number, since it uses less digits than its factorization.

11101121000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11101142 (or 11101128 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 11101121000 its reverse (12110111), we get a palindrome (11113231111).

The spelling of 11101121000 in words is "eleven billion, one hundred one million, one hundred twenty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 11101121 22202242 44404484 55505605 88808968 111011210 222022420 277528025 444044840 555056050 1110112100 1387640125 2220224200 2775280250 5550560500 11101121000