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1121130000 = 24325412457
BaseRepresentation
bin100001011010011…
…0001011000010000
32220010121022020100
41002310301120100
54244002130000
6303125412400
736532306404
oct10264613020
92803538210
101121130000
11525937621
1227356a100
1314b36b543
14a8c7d104
156865ba00
hex42d31610

1121130000 has 150 divisors (see below), whose sum is σ = 3921068294. Its totient is φ = 298944000.

The previous prime is 1121129987. The next prime is 1121130019. The reversal of 1121130000 is 311211.

It can be written as a sum of positive squares in 5 ways, for example, as 258180624 + 862949376 = 16068^2 + 29376^2 .

It is a tau number, because it is divible by the number of its divisors (150).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 83772 + ... + 96228.

Almost surely, 21121130000 is an apocalyptic number.

1121130000 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 1121130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1960534147).

1121130000 is an abundant number, since it is smaller than the sum of its proper divisors (2799938294).

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

1121130000 is a wasteful number, since it uses less digits than its factorization.

1121130000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12491 (or 12467 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 1121130000 is about 33483.2794092813. The cubic root of 1121130000 is about 1038.8479600213.

Adding to 1121130000 its reverse (311211), we get a palindrome (1121441211).

The spelling of 1121130000 in words is "one billion, one hundred twenty-one million, one hundred thirty thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 36 40 45 48 50 60 72 75 80 90 100 120 125 144 150 180 200 225 240 250 300 360 375 400 450 500 600 625 720 750 900 1000 1125 1200 1250 1500 1800 1875 2000 2250 2500 3000 3600 3750 4500 5000 5625 6000 7500 9000 10000 11250 12457 15000 18000 22500 24914 30000 37371 45000 49828 62285 74742 90000 99656 112113 124570 149484 186855 199312 224226 249140 298968 311425 373710 448452 498280 560565 597936 622850 747420 896904 934275 996560 1121130 1245700 1494840 1557125 1793808 1868550 2242260 2491400 2802825 2989680 3114250 3737100 4484520 4671375 4982800 5605650 6228500 7474200 7785625 8969040 9342750 11211300 12457000 14014125 14948400 15571250 18685500 22422600 23356875 24914000 28028250 31142500 37371000 44845200 46713750 56056500 62285000 70070625 74742000 93427500 112113000 124570000 140141250 186855000 224226000 280282500 373710000 560565000 1121130000