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1055110200 = 233524214177
BaseRepresentation
bin111110111000111…
…011010000111000
32201112101011002120
4332320323100320
54130102011300
6252410401240
735101201014
oct7670732070
92645334076
101055110200
114a1644a01
12255430220
1313a794581
14a01b5544
156296a3a0
hex3ee3b438

1055110200 has 96 divisors (see below), whose sum is σ = 3279395760. Its totient is φ = 280627200.

The previous prime is 1055110169. The next prime is 1055110207. The reversal of 1055110200 is 20115501.

It is a super-2 number, since 2×10551102002 = 2226515068288080000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1055110200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1055110207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 250512 + ... + 254688.

Almost surely, 21055110200 is an apocalyptic number.

1055110200 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 1055110200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1639697880).

1055110200 is an abundant number, since it is smaller than the sum of its proper divisors (2224285560).

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

1055110200 is a wasteful number, since it uses less digits than its factorization.

1055110200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4617 (or 4608 counting only the distinct ones).

The product of its (nonzero) digits is 50, while the sum is 15.

The square root of 1055110200 is about 32482.4598822195. The cubic root of 1055110200 is about 1018.0425743507.

Adding to 1055110200 its reverse (20115501), we get a palindrome (1075225701).

The spelling of 1055110200 in words is "one billion, fifty-five million, one hundred ten thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 421 600 842 1263 1684 2105 2526 3368 4177 4210 5052 6315 8354 8420 10104 10525 12531 12630 16708 16840 20885 21050 25062 25260 31575 33416 41770 42100 50124 50520 62655 63150 83540 84200 100248 104425 125310 126300 167080 208850 250620 252600 313275 417700 501240 626550 835400 1253100 1758517 2506200 3517034 5275551 7034068 8792585 10551102 14068136 17585170 21102204 26377755 35170340 42204408 43962925 52755510 70340680 87925850 105511020 131888775 175851700 211022040 263777550 351703400 527555100 1055110200