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2003113332 = 22321117223761
BaseRepresentation
bin111011101100101…
…0001010101110100
312011121012200220200
41313121101111310
513100244111312
6530433400500
7100432116363
oct16731212564
95147180820
102003113332
11938783770
1247aa09130
1325bcc747c
141500697da
15bacca0dc
hex77651574

2003113332 has 216 divisors, whose sum is σ = 6130942272. Its totient is φ = 545740800.

The previous prime is 2003113331. The next prime is 2003113421. The reversal of 2003113332 is 2333113002.

2003113332 is a `hidden beast` number, since 20 + 0 + 311 + 3 + 332 = 666.

It is a super-2 number, since 2×20031133322 = 8024926041672284448, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2003113331) 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 71 ways as a sum of consecutive naturals, for example, 2631832 + ... + 2632592.

It is an arithmetic number, because the mean of its divisors is an integer number (28383992).

Almost surely, 22003113332 is an apocalyptic number.

2003113332 is a gapful number since it is divisible by the number (22) 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 2003113332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3065471136).

2003113332 is an abundant number, since it is smaller than the sum of its proper divisors (4127828940).

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

2003113332 is a wasteful number, since it uses less digits than its factorization.

2003113332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 839 (or 817 counting only the distinct ones).

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

The square root of 2003113332 is about 44756.1541243213. The cubic root of 2003113332 is about 1260.5744697136.

Adding to 2003113332 its reverse (2333113002), we get a palindrome (4336226334).

The spelling of 2003113332 in words is "two billion, three million, one hundred thirteen thousand, three hundred thirty-two".