Search a number
-
+
11023030200 = 233527213151191
BaseRepresentation
bin10100100010000011…
…00001011110111000
31001110012202221201210
422101001201132320
5140033343431300
65021445443120
7540106132200
oct122101413670
931405687653
1011023030200
114747238816
1221777104a0
13106892c0a0
14767d87400
15447add050
hex2910617b8

11023030200 has 576 divisors, whose sum is σ = 43317227520. Its totient is φ = 2298240000.

The previous prime is 11023030147. The next prime is 11023030201. The reversal of 11023030200 is 203032011.

It is a happy number.

It is a super-2 number, since 2×110230302002 (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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11023030201) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 57712105 + ... + 57712295.

It is an arithmetic number, because the mean of its divisors is an integer number (75203520).

Almost surely, 211023030200 is an apocalyptic number.

11023030200 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 11023030200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21658613760).

11023030200 is an abundant number, since it is smaller than the sum of its proper divisors (32294197320).

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

11023030200 is a wasteful number, since it uses less digits than its factorization.

11023030200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 11023030200 its reverse (203032011), we get a palindrome (11226062211).

The spelling of 11023030200 in words is "eleven billion, twenty-three million, thirty thousand, two hundred".