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1020303331 = 17288720789
BaseRepresentation
bin111100110100001…
…001011111100011
32122002212210001021
4330310021133203
54042144201311
6245124350311
734166302165
oct7464113743
92562783037
101020303331
11483a30aa3
12245845397
131334c86a8
1499714935
155e892171
hex3cd097e3

1020303331 has 8 divisors (see below), whose sum is σ = 1080747360. Its totient is φ = 959906688.

The previous prime is 1020303293. The next prime is 1020303337. The reversal of 1020303331 is 1333030201.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1020303331 - 219 = 1019779043 is a prime.

It is a super-3 number, since 3×10203033313 (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1020303337) 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 7 ways as a sum of consecutive naturals, for example, 38685 + ... + 59473.

It is an arithmetic number, because the mean of its divisors is an integer number (135093420).

Almost surely, 21020303331 is an apocalyptic number.

1020303331 is a deficient number, since it is larger than the sum of its proper divisors (60444029).

1020303331 is a wasteful number, since it uses less digits than its factorization.

1020303331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23693.

The product of its (nonzero) digits is 162, while the sum is 16.

The square root of 1020303331 is about 31942.1873233503. The cubic root of 1020303331 is about 1006.7224839426.

Adding to 1020303331 its reverse (1333030201), we get a palindrome (2353333532).

The spelling of 1020303331 in words is "one billion, twenty million, three hundred three thousand, three hundred thirty-one".

Divisors: 1 17 2887 20789 49079 353413 60017843 1020303331