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1101034000 = 24531150047
BaseRepresentation
bin100000110100000…
…0111001000010000
32211201210022201001
41001220013020100
54223331042000
6301130551344
736166430443
oct10150071020
92751708631
101101034000
11515561160
12268898554
13147153511
14a632b65a
15669dc46a
hex41a07210

1101034000 has 80 divisors (see below), whose sum is σ = 2904385536. Its totient is φ = 400368000.

The previous prime is 1101033979. The next prime is 1101034063. The reversal of 1101034000 is 4301011.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3024 + ... + 47023.

Almost surely, 21101034000 is an apocalyptic number.

1101034000 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 1101034000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1452192768).

1101034000 is an abundant number, since it is smaller than the sum of its proper divisors (1803351536).

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

1101034000 is a wasteful number, since it uses less digits than its factorization.

1101034000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50081 (or 50065 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 1101034000 is about 33181.8323785773. The cubic root of 1101034000 is about 1032.6034619318.

Adding to 1101034000 its reverse (4301011), we get a palindrome (1105335011).

The spelling of 1101034000 in words is "one billion, one hundred one million, thirty-four thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 400 440 500 550 880 1000 1100 1375 2000 2200 2750 4400 5500 11000 22000 50047 100094 200188 250235 400376 500470 550517 800752 1000940 1101034 1251175 2001880 2202068 2502350 2752585 4003760 4404136 5004700 5505170 6255875 8808272 10009400 11010340 12511750 13762925 20018800 22020680 25023500 27525850 44041360 50047000 55051700 68814625 100094000 110103400 137629250 220206800 275258500 550517000 1101034000