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1213322320 = 24572309521
BaseRepresentation
bin100100001010001…
…1101010001010000
310010120002011022201
41020110131101100
54441102303240
6320221412544
742032032600
oct11024352120
93116064281
101213322320
11572986021
1229a40a154
131644aa302
14b71dac00
15717bcd9a
hex4851d450

1213322320 has 60 divisors (see below), whose sum is σ = 3281552244. Its totient is φ = 415994880.

The previous prime is 1213322293. The next prime is 1213322333. The reversal of 1213322320 is 232233121.

It can be written as a sum of positive squares in 2 ways, for example, as 504271936 + 709050384 = 22456^2 + 26628^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 150841 + ... + 158680.

Almost surely, 21213322320 is an apocalyptic number.

1213322320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1213322320 is an abundant number, since it is smaller than the sum of its proper divisors (2068229924).

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

1213322320 is a wasteful number, since it uses less digits than its factorization.

1213322320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309548 (or 309535 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

The square root of 1213322320 is about 34832.7765186756. The cubic root of 1213322320 is about 1066.5766269484.

Adding to 1213322320 its reverse (232233121), we get a palindrome (1445555441).

It can be divided in two parts, 12133 and 22320, that added together give a triangular number (34453 = T262).

The spelling of 1213322320 in words is "one billion, two hundred thirteen million, three hundred twenty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 49 56 70 80 98 112 140 196 245 280 392 490 560 784 980 1960 3920 309521 619042 1238084 1547605 2166647 2476168 3095210 4333294 4952336 6190420 8666588 10833235 12380840 15166529 17333176 21666470 24761680 30333058 34666352 43332940 60666116 75832645 86665880 121332232 151665290 173331760 242664464 303330580 606661160 1213322320