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1320221020 = 225174618423
BaseRepresentation
bin100111010110000…
…1111100101011100
310102000020011202211
41032230033211130
510200434033040
6335000530204
744500456606
oct11654174534
93360204684
101320221020
11618259658
1230a180964
13180697b91
14c74a6176
157ad868ea
hex4eb0f95c

1320221020 has 48 divisors (see below), whose sum is σ = 2942267328. Its totient is φ = 495887360.

The previous prime is 1320221011. The next prime is 1320221039. The reversal of 1320221020 is 201220231.

It is a congruent number.

It is an unprimeable number.

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, 152529 + ... + 160951.

It is an arithmetic number, because the mean of its divisors is an integer number (61297236).

Almost surely, 21320221020 is an apocalyptic number.

1320221020 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 1320221020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1471133664).

1320221020 is an abundant number, since it is smaller than the sum of its proper divisors (1622046308).

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

1320221020 is a wasteful number, since it uses less digits than its factorization.

1320221020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8910 (or 8908 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 1320221020 is about 36334.8458094981. The cubic root of 1320221020 is about 1097.0225319154.

Adding to 1320221020 its reverse (201220231), we get a palindrome (1521441251).

The spelling of 1320221020 in words is "one billion, three hundred twenty million, two hundred twenty-one thousand, twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 461 922 1844 2305 4610 7837 8423 9220 15674 16846 31348 33692 39185 42115 78370 84230 143191 156740 168460 286382 572764 715955 1431910 2863820 3883003 7766006 15532012 19415015 38830030 66011051 77660060 132022102 264044204 330055255 660110510 1320221020