Search a number
-
+
11046031290 = 23357223311171
BaseRepresentation
bin10100100100110010…
…10000111110111010
31001111211001112022000
422102121100332322
5140110241000130
65024030441430
7540505500600
oct122231207672
931454045260
1011046031290
114759218888
122183363276
1310706234b8
1476b053870
15449b33260
hex292650fba

11046031290 has 384 divisors, whose sum is σ = 36939939840. Its totient is φ = 2335132800.

The previous prime is 11046031237. The next prime is 11046031327. The reversal of 11046031290 is 9213064011.

11046031290 is a `hidden beast` number, since 110 + 460 + 3 + 1 + 2 + 90 = 666.

11046031290 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×110460312903 (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 9432405 + ... + 9433575.

It is an arithmetic number, because the mean of its divisors is an integer number (96197760).

Almost surely, 211046031290 is an apocalyptic number.

11046031290 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11046031290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18469969920).

11046031290 is an abundant number, since it is smaller than the sum of its proper divisors (25893908550).

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

11046031290 is a wasteful number, since it uses less digits than its factorization.

11046031290 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1255 (or 1242 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The spelling of 11046031290 in words is "eleven billion, forty-six million, thirty-one thousand, two hundred ninety".