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1243313412 = 22311191034813
BaseRepresentation
bin100101000011011…
…0111010100000100
310012122111212100220
41022012313110010
510021242012122
6323212304340
742544663305
oct11206672404
93178455326
101243313412
115888aa850
122a84720b0
1316a77b213
14bb1a67ac
157424425c
hex4a1b7504

1243313412 has 96 divisors (see below), whose sum is σ = 3364408320. Its totient is φ = 353393280.

The previous prime is 1243313389. The next prime is 1243313417. The reversal of 1243313412 is 2143133421.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (1243313417) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 255918 + ... + 260730.

It is an arithmetic number, because the mean of its divisors is an integer number (35045920).

Almost surely, 21243313412 is an apocalyptic number.

1243313412 is a gapful number since it is divisible by the number (12) 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 1243313412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1682204160).

1243313412 is an abundant number, since it is smaller than the sum of its proper divisors (2121094908).

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

1243313412 is a wasteful number, since it uses less digits than its factorization.

1243313412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4953 (or 4951 counting only the distinct ones).

The product of its digits is 1728, while the sum is 24.

The square root of 1243313412 is about 35260.6496253260. The cubic root of 1243313412 is about 1075.2931342659.

Adding to 1243313412 its reverse (2143133421), we get a palindrome (3386446833).

Subtracting 1243313412 from its reverse (2143133421), we obtain a square (899820009 = 299972).

The spelling of 1243313412 in words is "one billion, two hundred forty-three million, three hundred thirteen thousand, four hundred twelve".

Divisors: 1 2 3 4 6 11 12 19 22 33 38 44 57 66 76 103 114 132 206 209 228 309 412 418 618 627 836 1133 1236 1254 1957 2266 2508 3399 3914 4532 4813 5871 6798 7828 9626 11742 13596 14439 19252 21527 23484 28878 43054 52943 57756 64581 86108 91447 105886 129162 158829 182894 211772 258324 274341 317658 365788 495739 548682 635316 991478 1005917 1097364 1487217 1982956 2011834 2974434 3017751 4023668 5453129 5948868 6035502 9419041 10906258 12071004 16359387 18838082 21812516 28257123 32718774 37676164 56514246 65437548 103609451 113028492 207218902 310828353 414437804 621656706 1243313412