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321134201244 = 2232171103475729
BaseRepresentation
bin1001010110001010001…
…01110000100110011100
31010200220101122200121100
410223011011300212130
520230140323414434
6403305500233100
732126001446403
oct4530505604634
91120811580540
10321134201244
1111421298051a
12522a323b790
132438a4a052c
1411785d0a63a
158547cb9699
hex4ac517099c

321134201244 has 72 divisors (see below), whose sum is σ = 860287296960. Its totient is φ = 100656433152.

The previous prime is 321134201221. The next prime is 321134201257. The reversal of 321134201244 is 442102431123.

321134201244 is a `hidden beast` number, since 3 + 2 + 113 + 420 + 124 + 4 = 666.

It is a super-2 number, since 2×3211342012442 (a number of 24 digits) contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 437172 + ... + 912900.

It is an arithmetic number, because the mean of its divisors is an integer number (11948434680).

Almost surely, 2321134201244 is an apocalyptic number.

321134201244 is a gapful number since it is divisible by the number (34) 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 321134201244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430143648480).

321134201244 is an abundant number, since it is smaller than the sum of its proper divisors (539153095716).

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

321134201244 is a wasteful number, since it uses less digits than its factorization.

321134201244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476859 (or 476854 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 321134201244 its reverse (442102431123), we get a palindrome (763236632367).

The spelling of 321134201244 in words is "three hundred twenty-one billion, one hundred thirty-four million, two hundred one thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 1103 2206 3309 4412 6618 9927 13236 18751 19854 37502 39708 56253 75004 112506 168759 225012 337518 475729 675036 951458 1427187 1902916 2854374 4281561 5708748 8087393 8563122 16174786 17126244 24262179 32349572 48524358 72786537 97048716 145573074 291146148 524729087 1049458174 1574187261 2098916348 3148374522 4722561783 6296749044 8920394479 9445123566 17840788958 18890247132 26761183437 35681577916 53522366874 80283550311 107044733748 160567100622 321134201244