Search a number
-
+
11002331520 = 2733519233147
BaseRepresentation
bin10100011111100101…
…00100000110000000
31001101202211100111000
422033302210012000
5140013044102040
65015430052000
7536435163165
oct121762440600
931352740430
1011002331520
114736590574
1221707aa000
13106456294b
1476531a06c
15445da0130
hex28fca4180

11002331520 has 1024 divisors, whose sum is σ = 45121536000. Its totient is φ = 2518179840.

The previous prime is 11002331503. The next prime is 11002331537. The reversal of 11002331520 is 2513320011.

11002331520 is a `hidden beast` number, since 110 + 0 + 2 + 3 + 31 + 520 = 666.

It is an interprime number because it is at equal distance from previous prime (11002331503) and next prime (11002331537).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 11002331493 and 11002331502.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 234092137 + ... + 234092183.

It is an arithmetic number, because the mean of its divisors is an integer number (44064000).

Almost surely, 211002331520 is an apocalyptic number.

11002331520 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 11002331520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22560768000).

11002331520 is an abundant number, since it is smaller than the sum of its proper divisors (34119204480).

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

11002331520 is a wasteful number, since it uses less digits than its factorization.

11002331520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

Adding to 11002331520 its reverse (2513320011), we get a palindrome (13515651531).

The spelling of 11002331520 in words is "eleven billion, two million, three hundred thirty-one thousand, five hundred twenty".