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11023000200 = 2332526123889
BaseRepresentation
bin10100100010000010…
…11010001010001000
31001110012201102120200
422101001122022020
5140033342001300
65021445052200
7540105645552
oct122101321210
931405642520
1011023000200
114747218223
1221776b7060
13106891b534
14767d7a4d2
15447ad4200
hex29105a288

11023000200 has 72 divisors (see below), whose sum is σ = 37018915050. Its totient is φ = 2939466240.

The previous prime is 11023000187. The next prime is 11023000211. The reversal of 11023000200 is 200032011.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 4386942756 + 6636057444 = 66234^2 + 81462^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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 17 ways as a sum of consecutive naturals, for example, 3060145 + ... + 3063744.

Almost surely, 211023000200 is an apocalyptic number.

11023000200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11023000200 is an abundant number, since it is smaller than the sum of its proper divisors (25995914850).

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

11023000200 is a wasteful number, since it uses less digits than its factorization.

11023000200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6123911 (or 6123899 counting only the distinct ones).

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

Adding to 11023000200 its reverse (200032011), we get a palindrome (11223032211).

The spelling of 11023000200 in words is "eleven billion, twenty-three million, two hundred", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 180 200 225 300 360 450 600 900 1800 6123889 12247778 18371667 24495556 30619445 36743334 48991112 55115001 61238890 73486668 91858335 110230002 122477780 146973336 153097225 183716670 220460004 244955560 275575005 306194450 367433340 440920008 459291675 551150010 612388900 734866680 918583350 1102300020 1224777800 1377875025 1837166700 2204600040 2755750050 3674333400 5511500100 11023000200