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1321224020 = 225174390371
BaseRepresentation
bin100111011000000…
…0100011101010100
310102002010010121222
41032300010131110
510201213132040
6335034225512
744512135034
oct11660043524
93362103558
101321224020
11618884186
1230a585298
1318095957c
14c76878c4
157aed3bb5
hex4ec04754

1321224020 has 48 divisors (see below), whose sum is σ = 3006134208. Its totient is φ = 485829120.

The previous prime is 1321223929. The next prime is 1321224031. The reversal of 1321224020 is 204221231.

It is a super-2 number, since 2×13212240202 = 3491265822049920800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a self number, because there is not a number n which added to its sum of digits gives 1321224020.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30566 + ... + 59805.

It is an arithmetic number, because the mean of its divisors is an integer number (62627796).

Almost surely, 21321224020 is an apocalyptic number.

1321224020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1321224020 is an abundant number, since it is smaller than the sum of its proper divisors (1684910188).

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

1321224020 is a wasteful number, since it uses less digits than its factorization.

1321224020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90440 (or 90438 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 1321224020 is about 36348.6453667809. The cubic root of 1321224020 is about 1097.3002720454.

Adding to 1321224020 its reverse (204221231), we get a palindrome (1525445251).

The spelling of 1321224020 in words is "one billion, three hundred twenty-one million, two hundred twenty-four thousand, twenty".

Divisors: 1 2 4 5 10 17 20 34 43 68 85 86 170 172 215 340 430 731 860 1462 2924 3655 7310 14620 90371 180742 361484 451855 903710 1536307 1807420 3072614 3885953 6145228 7681535 7771906 15363070 15543812 19429765 30726140 38859530 66061201 77719060 132122402 264244804 330306005 660612010 1321224020