Search a number
-
+
11021020200 = 23325211095521
BaseRepresentation
bin10100100001110011…
…10110110000101000
31001110001222211112100
422100321312300220
5140032340121300
65021334413400
7540053061141
oct122071666050
931401884470
1011021020200
114746095663
122176b01260
1310683a7238
147679c2ac8
15447842700
hex290e76c28

11021020200 has 144 divisors (see below), whose sum is σ = 37052343900. Its totient is φ = 2935756800.

The previous prime is 11021020169. The next prime is 11021020201. The reversal of 11021020200 is 202012011.

It can be written as a sum of positive squares in 6 ways, for example, as 441252036 + 10579768164 = 21006^2 + 102858^2 .

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

It is not an unprimeable number, because it can be changed into a prime (11021020201) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1993440 + ... + 1998960.

Almost surely, 211021020200 is an apocalyptic number.

11021020200 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 11021020200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18526171950).

11021020200 is an abundant number, since it is smaller than the sum of its proper divisors (26031323700).

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

11021020200 is a wasteful number, since it uses less digits than its factorization.

11021020200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6652 (or 6640 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 11021020200 its reverse (202012011), we get a palindrome (11223032211).

The spelling of 11021020200 in words is "eleven billion, twenty-one million, twenty thousand, two hundred".

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 1109 1800 2218 3327 4436 5521 5545 6654 8872 9981 11042 11090 13308 16563 16635 19962 22084 22180 26616 27605 27725 33126 33270 39924 44168 44360 49689 49905 55210 55450 66252 66540 79848 82815 83175 99378 99810 110420 110900 132504 133080 138025 165630 166350 198756 199620 220840 221800 248445 249525 276050 331260 332700 397512 399240 414075 496890 499050 552100 662520 665400 828150 993780 998100 1104200 1242225 1656300 1987560 1996200 2484450 3312600 4968900 6122789 9937800 12245578 18368367 24491156 30613945 36736734 48982312 55105101 61227890 73473468 91841835 110210202 122455780 146946936 153069725 183683670 220420404 244911560 275525505 306139450 367367340 440840808 459209175 551051010 612278900 734734680 918418350 1102102020 1224557800 1377627525 1836836700 2204204040 2755255050 3673673400 5510510100 11021020200