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11030004000 = 253253306389
BaseRepresentation
bin10100100010111000…
…01000000100100000
31001110200220020222200
422101130020010200
5140042140112000
65022255133200
7540222326031
oct122134100440
931420806880
1011030004000
114750171294
122179b14200
13106a2013b2
14768c80a88
15448519500
hex291708120

11030004000 has 144 divisors (see below), whose sum is σ = 39145611960. Its totient is φ = 2941324800.

The previous prime is 11030003983. The next prime is 11030004023. The reversal of 11030004000 is 40003011.

It can be written as a sum of positive squares in 4 ways, for example, as 4640879376 + 6389124624 = 68124^2 + 79932^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 117195 + ... + 189194.

Almost surely, 211030004000 is an apocalyptic number.

11030004000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11030004000 is an abundant number, since it is smaller than the sum of its proper divisors (28115607960).

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

11030004000 is a wasteful number, since it uses less digits than its factorization.

11030004000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306420 (or 306399 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 11030004000 its reverse (40003011), we get a palindrome (11070007011).

The spelling of 11030004000 in words is "eleven billion, thirty million, four thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 32 36 40 45 48 50 60 72 75 80 90 96 100 120 125 144 150 160 180 200 225 240 250 288 300 360 375 400 450 480 500 600 720 750 800 900 1000 1125 1200 1440 1500 1800 2000 2250 2400 3000 3600 4000 4500 6000 7200 9000 12000 18000 36000 306389 612778 919167 1225556 1531945 1838334 2451112 2757501 3063890 3676668 4595835 4902224 5515002 6127780 7353336 7659725 9191670 9804448 11030004 12255560 13787505 14706672 15319450 18383340 22060008 22979175 24511120 27575010 29413344 30638900 36766680 38298625 44120016 45958350 49022240 55150020 61277800 68937525 73533360 76597250 88240032 91916700 110300040 114895875 122555600 137875050 147066720 153194500 183833400 220600080 229791750 245111200 275750100 306389000 344687625 367666800 441200160 459583500 551500200 612778000 689375250 735333600 919167000 1103000400 1225556000 1378750500 1838334000 2206000800 2757501000 3676668000 5515002000 11030004000