Search a number
-
+
11032212000 = 25353919351
BaseRepresentation
bin10100100011001001…
…00011001000100000
31001110212001102210110
422101210203020200
5140043221241000
65022414331320
7540250153245
oct122144431040
931425042713
1011032212000
11475143a187
12217a7b9b40
13106a7c53c4
147692975cc
15448803850
hex291923220

11032212000 has 96 divisors (see below), whose sum is σ = 36141565824. Its totient is φ = 2941920000.

The previous prime is 11032211969. The next prime is 11032212001. The reversal of 11032212000 is 21223011.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×110322120002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (11032212001) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 447676 + ... + 471675.

It is an arithmetic number, because the mean of its divisors is an integer number (376474644).

Almost surely, 211032212000 is an apocalyptic number.

11032212000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11032212000 is an abundant number, since it is smaller than the sum of its proper divisors (25109353824).

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

11032212000 is an equidigital number, since it uses as much as digits as its factorization.

11032212000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 919379 (or 919361 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 11032212000 its reverse (21223011), we get a palindrome (11053435011).

The spelling of 11032212000 in words is "eleven billion, thirty-two million, two hundred twelve thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 125 150 160 200 240 250 300 375 400 480 500 600 750 800 1000 1200 1500 2000 2400 3000 4000 6000 12000 919351 1838702 2758053 3677404 4596755 5516106 7354808 9193510 11032212 13790265 14709616 18387020 22064424 22983775 27580530 29419232 36774040 44128848 45967550 55161060 68951325 73548080 88257696 91935100 110322120 114918875 137902650 147096160 183870200 220644240 229837750 275805300 344756625 367740400 441288480 459675500 551610600 689513250 735480800 919351000 1103221200 1379026500 1838702000 2206442400 2758053000 3677404000 5516106000 11032212000