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1020920031 = 372916097
BaseRepresentation
bin111100110110100…
…000000011011111
32122011001010000000
4330312200003133
54042323420111
6245145505343
734204451145
oct7466400337
92564033000
101020920031
1148431236a
12245aa2253
131336832c1
1499835595
155e964c56
hex3cda00df

1020920031 has 32 divisors (see below), whose sum is σ = 1584043200. Its totient is φ = 657103104.

The previous prime is 1020920029. The next prime is 1020920077. The reversal of 1020920031 is 1300290201.

It is a happy number.

It is not a de Polignac number, because 1020920031 - 21 = 1020920029 is a prime.

It is a super-2 number, since 2×10209200312 = 2084555419394081922, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1020919986 and 1020920013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020920231) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55375 + ... + 71471.

It is an arithmetic number, because the mean of its divisors is an integer number (49501350).

Almost surely, 21020920031 is an apocalyptic number.

1020920031 is a deficient number, since it is larger than the sum of its proper divisors (563123169).

1020920031 is an frugal number, since it uses more digits than its factorization.

1020920031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16147 (or 16129 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 1020920031 is about 31951.8392428355. The cubic root of 1020920031 is about 1006.9252735423.

The spelling of 1020920031 in words is "one billion, twenty million, nine hundred twenty thousand, thirty-one".

Divisors: 1 3 9 27 29 81 87 243 261 729 783 2187 2349 7047 16097 21141 48291 63423 144873 434619 466813 1303857 1400439 3911571 4201317 11734713 12603951 35204139 37811853 113435559 340306677 1020920031