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2003213030032 = 24732626165309
BaseRepresentation
bin11101001001101000110…
…011010001001010010000
321002111122100201200120101
4131021220303101022100
5230310040013430112
64132132515222144
7264504325544404
oct35115063211220
97074570650511
102003213030032
11702615593905
1228429bba7954
13116b96115986
146cd554ab104
1537195101757
hex1d268cd1290

2003213030032 has 40 divisors (see below), whose sum is σ = 3934602778680. Its totient is φ = 987833134080.

The previous prime is 2003213030029. The next prime is 2003213030083. The reversal of 2003213030032 is 2300303123002.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 129424379536 + 1873788650496 = 359756^2 + 1368864^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2003213029991 and 2003213030009.

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 7 ways as a sum of consecutive naturals, for example, 30640194 + ... + 30705502.

It is an arithmetic number, because the mean of its divisors is an integer number (98365069467).

Almost surely, 22003213030032 is an apocalyptic number.

It is an amenable number.

2003213030032 is a deficient number, since it is larger than the sum of its proper divisors (1931389748648).

2003213030032 is a wasteful number, since it uses less digits than its factorization.

2003213030032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91651 (or 91645 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 19.

Adding to 2003213030032 its reverse (2300303123002), we get a palindrome (4303516153034).

The spelling of 2003213030032 in words is "two trillion, three billion, two hundred thirteen million, thirty thousand, thirty-two".

Divisors: 1 2 4 8 16 73 146 292 584 1168 26261 52522 65309 105044 130618 210088 261236 420176 522472 1044944 1917053 3834106 4767557 7668212 9535114 15336424 19070228 30672848 38140456 76280912 1715079649 3430159298 6860318596 13720637192 27441274384 125200814377 250401628754 500803257508 1001606515016 2003213030032