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11332003320 = 23325112377989
BaseRepresentation
bin10101000110111000…
…01010010111111000
31002020202011102011200
422203130022113320
5141201443101240
65112244054200
7550550303361
oct124334122770
932222142150
1011332003320
114895690900
122243094360
1310b794c211
14797014b68
15464cc0930
hex2a370a5f8

11332003320 has 576 divisors, whose sum is σ = 42574896000. Its totient is φ = 2609418240.

The previous prime is 11332003303. The next prime is 11332003337. The reversal of 11332003320 is 2330023311.

11332003320 is a `hidden beast` number, since 1 + 1 + 332 + 0 + 0 + 332 + 0 = 666.

11332003320 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 (11332003303) and next prime (11332003337).

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 = 11332003293 and 11332003302.

It is a congruent number.

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 143 ways as a sum of consecutive naturals, for example, 127325836 + ... + 127325924.

It is an arithmetic number, because the mean of its divisors is an integer number (73914750).

Almost surely, 211332003320 is an apocalyptic number.

11332003320 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 11332003320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21287448000).

11332003320 is an abundant number, since it is smaller than the sum of its proper divisors (31242892680).

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

11332003320 is a wasteful number, since it uses less digits than its factorization.

11332003320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 11332003320 its reverse (2330023311), we get a palindrome (13662026631).

The spelling of 11332003320 in words is "eleven billion, three hundred thirty-two million, three thousand, three hundred twenty".