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1324221222330 = 232529581387281
BaseRepresentation
bin10011010001010001101…
…111000100110110111010
311200121001020212000220200
4103101101233010312322
5133144001113103310
62452201104303030
7164446302446046
oct23212157046672
94617036760820
101324221222330
114706653a3006
12194787011a76
1397b4819b666
144814232d026
15246a55639c0
hex13451bc4dba

1324221222330 has 96 divisors (see below), whose sum is σ = 3562351986960. Its totient is φ = 340886353920.

The previous prime is 1324221222329. The next prime is 1324221222341. The reversal of 1324221222330 is 332221224231.

1324221222330 is a `hidden beast` number, since 1 + 3 + 2 + 422 + 1 + 2 + 2 + 233 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1118008054881 + 206213167449 = 1057359^2 + 454107^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1324221222294 and 1324221222303.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15128290 + ... + 15215570.

Almost surely, 21324221222330 is an apocalyptic number.

1324221222330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1324221222330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1781175993480).

1324221222330 is an abundant number, since it is smaller than the sum of its proper divisors (2238130764630).

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

1324221222330 is a wasteful number, since it uses less digits than its factorization.

1324221222330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93136 (or 93133 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 1324221222330 its reverse (332221224231), we get a palindrome (1656442446561).

The spelling of 1324221222330 in words is "one trillion, three hundred twenty-four billion, two hundred twenty-one million, two hundred twenty-two thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 29 30 45 58 87 90 145 174 261 290 435 522 870 1305 2610 5813 11626 17439 29065 34878 52317 58130 87195 87281 104634 168577 174390 174562 261585 261843 337154 436405 505731 523170 523686 785529 842885 872810 1011462 1309215 1517193 1571058 1685770 2528655 2531149 2618430 3034386 3927645 5057310 5062298 7585965 7593447 7855290 12655745 15171930 15186894 22780341 25311490 37967235 45560682 75934470 113901705 227803410 507364453 1014728906 1522093359 2536822265 3044186718 4566280077 5073644530 7610466795 9132560154 14713569137 15220933590 22831400385 29427138274 44140707411 45662800770 73567845685 88281414822 132422122233 147135691370 220703537055 264844244466 441407074110 662110611165 1324221222330