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1020033020 = 225373793637
BaseRepresentation
bin111100110011000…
…111011111111100
32122002101001020202
4330303013133330
54042112024040
6245114503032
734164065126
oct7463073774
92562331222
101020033020
114838669a6
12245734a78
13133432646
1499684216
155e83c015
hex3ccc77fc

1020033020 has 48 divisors (see below), whose sum is σ = 2206374240. Its totient is φ = 395829504.

The previous prime is 1020033011. The next prime is 1020033023. The reversal of 1020033020 is 203300201.

1020033020 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 1020032992 and 1020033010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020033023) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 278642 + ... + 282278.

It is an arithmetic number, because the mean of its divisors is an integer number (45966130).

Almost surely, 21020033020 is an apocalyptic number.

1020033020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1020033020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1103187120).

1020033020 is an abundant number, since it is smaller than the sum of its proper divisors (1186341220).

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

1020033020 is a wasteful number, since it uses less digits than its factorization.

1020033020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4062 (or 4060 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 11.

The square root of 1020033020 is about 31937.9557893113. The cubic root of 1020033020 is about 1006.6335717572.

Adding to 1020033020 its reverse (203300201), we get a palindrome (1223333221).

The spelling of 1020033020 in words is "one billion, twenty million, thirty-three thousand, twenty".

Divisors: 1 2 4 5 10 20 37 74 148 185 370 379 740 758 1516 1895 3637 3790 7274 7580 14023 14548 18185 28046 36370 56092 70115 72740 134569 140230 269138 280460 538276 672845 1345690 1378423 2691380 2756846 5513692 6892115 13784230 27568460 51001651 102003302 204006604 255008255 510016510 1020033020