Search a number
-
+
1121091000 = 23353477951
BaseRepresentation
bin100001011010010…
…0111110110111000
32220010112022201220
41002310213312320
54243444403000
6303124512040
736532054611
oct10264476670
92803468656
101121091000
11525910297
1227354b620
1314b356873
14a8c6cc08
15686501a0
hex42d27db8

1121091000 has 128 divisors (see below), whose sum is σ = 3572674560. Its totient is φ = 292560000.

The previous prime is 1121090987. The next prime is 1121091071. The reversal of 1121091000 is 1901211.

1121091000 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 137025 + ... + 144975.

It is an arithmetic number, because the mean of its divisors is an integer number (27911520).

Almost surely, 21121091000 is an apocalyptic number.

1121091000 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 1121091000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1786337280).

1121091000 is an abundant number, since it is smaller than the sum of its proper divisors (2451583560).

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

1121091000 is a wasteful number, since it uses less digits than its factorization.

1121091000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8022 (or 8008 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 15.

The square root of 1121091000 is about 33482.6970239854. The cubic root of 1121091000 is about 1038.8359139784.

Adding to 1121091000 its reverse (1901211), we get a palindrome (1122992211).

The spelling of 1121091000 in words is "one billion, one hundred twenty-one million, ninety-one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 47 50 60 75 94 100 120 125 141 150 188 200 235 250 282 300 375 376 470 500 564 600 705 750 940 1000 1128 1175 1410 1500 1880 2350 2820 3000 3525 4700 5640 5875 7050 7951 9400 11750 14100 15902 17625 23500 23853 28200 31804 35250 39755 47000 47706 63608 70500 79510 95412 119265 141000 159020 190824 198775 238530 318040 373697 397550 477060 596325 747394 795100 954120 993875 1121091 1192650 1494788 1590200 1868485 1987750 2242182 2385300 2981625 2989576 3736970 3975500 4484364 4770600 5605455 5963250 7473940 7951000 8968728 9342425 11210910 11926500 14947880 18684850 22421820 23853000 28027275 37369700 44843640 46712125 56054550 74739400 93424250 112109100 140136375 186848500 224218200 280272750 373697000 560545500 1121091000