Search a number
-
+
1100420200 = 2352111729423
BaseRepresentation
bin100000110010111…
…0001010001101000
32211200122010201201
41001211301101220
54223201421300
6301105453544
736161263105
oct10145612150
92750563651
101100420200
11515181a90
122686412b4
13146c9a019
14a620baac
156691a66a
hex41971468

1100420200 has 96 divisors (see below), whose sum is σ = 2955346560. Its totient is φ = 376601600.

The previous prime is 1100420159. The next prime is 1100420203. The reversal of 1100420200 is 20240011.

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

It is not an unprimeable number, because it can be changed into a prime (1100420203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22689 + ... + 52111.

It is an arithmetic number, because the mean of its divisors is an integer number (30784860).

Almost surely, 21100420200 is an apocalyptic number.

1100420200 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 1100420200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1477673280).

1100420200 is an abundant number, since it is smaller than the sum of its proper divisors (1854926360).

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

1100420200 is a wasteful number, since it uses less digits than its factorization.

1100420200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29467 (or 29458 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 1100420200 is about 33172.5820520502. The cubic root of 1100420200 is about 1032.4115423908.

Adding to 1100420200 its reverse (20240011), we get a palindrome (1120660211).

The spelling of 1100420200 in words is "one billion, one hundred million, four hundred twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 17 20 22 25 34 40 44 50 55 68 85 88 100 110 136 170 187 200 220 275 340 374 425 440 550 680 748 850 935 1100 1496 1700 1870 2200 3400 3740 4675 7480 9350 18700 29423 37400 58846 117692 147115 235384 294230 323653 500191 588460 647306 735575 1000382 1176920 1294612 1471150 1618265 2000764 2500955 2589224 2942300 3236530 4001528 5001910 5502101 5884600 6473060 8091325 10003820 11004202 12504775 12946120 16182650 20007640 22008404 25009550 27510505 32365300 44016808 50019100 55021010 64730600 100038200 110042020 137552525 220084040 275105050 550210100 1100420200