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2003133020 = 225723622091
BaseRepresentation
bin111011101100101…
…0110001001011100
312011121020200220212
41313121112021130
513100300224040
6530434031552
7100432230650
oct16731261134
95147220825
102003133020
11938797539
1247aa185b8
1325c003415
14150072a60
15bacd0d65
hex7765625c

2003133020 has 48 divisors (see below), whose sum is σ = 5016549888. Its totient is φ = 656927040.

The previous prime is 2003133019. The next prime is 2003133053. The reversal of 2003133020 is 203313002.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 2003132986 and 2003133004.

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 15 ways as a sum of consecutive naturals, for example, 307826 + ... + 314265.

It is an arithmetic number, because the mean of its divisors is an integer number (104511456).

Almost surely, 22003133020 is an apocalyptic number.

2003133020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2003133020 is an abundant number, since it is smaller than the sum of its proper divisors (3013416868).

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

2003133020 is a wasteful number, since it uses less digits than its factorization.

2003133020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 622130 (or 622128 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 14.

The square root of 2003133020 is about 44756.3740711868. The cubic root of 2003133020 is about 1260.5785996362.

Adding to 2003133020 its reverse (203313002), we get a palindrome (2206446022).

The spelling of 2003133020 in words is "two billion, three million, one hundred thirty-three thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 23 28 35 46 70 92 115 140 161 230 322 460 644 805 1610 3220 622091 1244182 2488364 3110455 4354637 6220910 8709274 12441820 14308093 17418548 21773185 28616186 43546370 57232372 71540465 87092740 100156651 143080930 200313302 286161860 400626604 500783255 1001566510 2003133020