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1114103000 = 235319191307
BaseRepresentation
bin100001001100111…
…1101110011011000
32212122101022000002
41002121331303120
54240202244000
6302315032132
736415501463
oct10231756330
92778338002
101114103000
1152197808a
1227113b648
13149a7ac5a
14a7d702da
1567c1e8d5
hex4267dcd8

1114103000 has 128 divisors (see below), whose sum is σ = 2767564800. Its totient is φ = 418608000.

The previous prime is 1114102991. The next prime is 1114103027. The reversal of 1114103000 is 3014111.

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, 3628847 + ... + 3629153.

It is an arithmetic number, because the mean of its divisors is an integer number (21621600).

Almost surely, 21114103000 is an apocalyptic number.

1114103000 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 1114103000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1383782400).

1114103000 is an abundant number, since it is smaller than the sum of its proper divisors (1653461800).

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

1114103000 is a wasteful number, since it uses less digits than its factorization.

1114103000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 538 (or 524 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

The square root of 1114103000 is about 33378.1814963008. The cubic root of 1114103000 is about 1036.6729849159.

Adding to 1114103000 its reverse (3014111), we get a palindrome (1117117111).

Subtracting from 1114103000 its reverse (3014111), we obtain a square (1111088889 = 333332).

The spelling of 1114103000 in words is "one billion, one hundred fourteen million, one hundred three thousand".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 76 95 100 125 152 190 191 200 250 307 380 382 475 500 614 760 764 950 955 1000 1228 1528 1535 1900 1910 2375 2456 3070 3629 3800 3820 4750 4775 5833 6140 7258 7640 7675 9500 9550 11666 12280 14516 15350 18145 19000 19100 23332 23875 29032 29165 30700 36290 38200 38375 46664 47750 58330 58637 61400 72580 76750 90725 95500 116660 117274 145160 145825 153500 181450 191000 233320 234548 291650 293185 307000 362900 453625 469096 583300 586370 725800 729125 907250 1114103 1166600 1172740 1458250 1465925 1814500 2228206 2345480 2916500 2931850 3629000 4456412 5570515 5833000 5863700 7329625 8912824 11141030 11727400 14659250 22282060 27852575 29318500 44564120 55705150 58637000 111410300 139262875 222820600 278525750 557051500 1114103000