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1020852033 = 32322832273
BaseRepresentation
bin111100110110001…
…111011101000001
32122010220122201120
4330312033131001
54042314231113
6245144222453
734204045665
oct7466173501
92563818646
101020852033
11484276273
12245a6aa29
1313365b376
14998188a5
155e94ea23
hex3cd8f741

1020852033 has 24 divisors (see below), whose sum is σ = 1428544992. Its totient is φ = 648392448.

The previous prime is 1020852031. The next prime is 1020852037. The reversal of 1020852033 is 3302580201.

It is not a de Polignac number, because 1020852033 - 21 = 1020852031 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1020851994 and 1020852012.

It is not an unprimeable number, because it can be changed into a prime (1020852031) 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 23 ways as a sum of consecutive naturals, for example, 447985 + ... + 450257.

It is an arithmetic number, because the mean of its divisors is an integer number (59522708).

Almost surely, 21020852033 is an apocalyptic number.

It is an amenable number.

1020852033 is a deficient number, since it is larger than the sum of its proper divisors (407692959).

1020852033 is a wasteful number, since it uses less digits than its factorization.

1020852033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2605 (or 2582 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 1020852033 is about 31950.7751549160. The cubic root of 1020852033 is about 1006.9029177512.

The spelling of 1020852033 in words is "one billion, twenty million, eight hundred fifty-two thousand, thirty-three".

Divisors: 1 3 23 69 283 529 849 1587 2273 6509 6819 19527 52279 149707 156837 449121 643259 1202417 1929777 3607251 14794957 44384871 340284011 1020852033