Search a number
-
+
11153333100 = 223527131992053
BaseRepresentation
bin10100110001100101…
…00101101101101100
31001210021222000201010
422120302211231230
5140320223124400
65042422345220
7543250524060
oct123062455554
931707860633
1011153333100
114803847268
1221b328b210
1310899226b0
1477b3c5aa0
1545427b450
hex298ca5b6c

11153333100 has 288 divisors, whose sum is σ = 39936332800. Its totient is φ = 2340264960.

The previous prime is 11153333099. The next prime is 11153333101. The reversal of 11153333100 is 133335111.

11153333100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11153333099) and next prime (11153333101).

It is a super-2 number, since 2×111533331002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (11153333101) 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 95 ways as a sum of consecutive naturals, for example, 5431674 + ... + 5433726.

Almost surely, 211153333100 is an apocalyptic number.

11153333100 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 11153333100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19968166400).

11153333100 is an abundant number, since it is smaller than the sum of its proper divisors (28782999700).

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

11153333100 is a wasteful number, since it uses less digits than its factorization.

11153333100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2289 (or 2282 counting only the distinct ones).

The product of its (nonzero) digits is 405, while the sum is 21.

Adding to 11153333100 its reverse (133335111), we get a palindrome (11286668211).

The spelling of 11153333100 in words is "eleven billion, one hundred fifty-three million, three hundred thirty-three thousand, one hundred".