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1020323253 = 34110380537
BaseRepresentation
bin111100110100001…
…110010110110101
32122002220210101010
4330310032112311
54042200321003
6245125022433
734166414235
oct7464162665
92562823333
101020323253
11483a44a64
12245854a19
13133504791
149971bcc5
155e898003
hex3cd0e5b5

1020323253 has 16 divisors (see below), whose sum is σ = 1407159936. Its totient is φ = 657173760.

The previous prime is 1020323231. The next prime is 1020323333. The reversal of 1020323253 is 3523230201.

It is not a de Polignac number, because 1020323253 - 28 = 1020322997 is a prime.

It is a super-3 number, since 3×10203232533 (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020323453) 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 15 ways as a sum of consecutive naturals, for example, 27600 + ... + 52937.

It is an arithmetic number, because the mean of its divisors is an integer number (87947496).

Almost surely, 21020323253 is an apocalyptic number.

It is an amenable number.

1020323253 is a deficient number, since it is larger than the sum of its proper divisors (386836683).

1020323253 is a wasteful number, since it uses less digits than its factorization.

1020323253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80684.

The product of its (nonzero) digits is 1080, while the sum is 21.

The square root of 1020323253 is about 31942.4991664710. The cubic root of 1020323253 is about 1006.7290361754.

Adding to 1020323253 its reverse (3523230201), we get a palindrome (4543553454).

The spelling of 1020323253 in words is "one billion, twenty million, three hundred twenty-three thousand, two hundred fifty-three".

Divisors: 1 3 41 103 123 309 4223 12669 80537 241611 3302017 8295311 9906051 24885933 340107751 1020323253