Search a number
-
+
1313412012 = 22321119227769
BaseRepresentation
bin100111001001001…
…0001001110101100
310101112102020120100
41032102101032230
510142213141022
6334154551100
744355550353
oct11622211654
93345366510
101313412012
11614428980
12307a38490
1317c152893
14c661299a
157a48e1ac
hex4e4913ac

1313412012 has 144 divisors (see below), whose sum is σ = 3834230400. Its totient is φ = 374906880.

The previous prime is 1313412007. The next prime is 1313412017. The reversal of 1313412012 is 2102143131.

It is an interprime number because it is at equal distance from previous prime (1313412007) and next prime (1313412017).

It is a super-2 number, since 2×13134120122 = 3450102226531776288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1313412017) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1707564 + ... + 1708332.

It is an arithmetic number, because the mean of its divisors is an integer number (26626600).

Almost surely, 21313412012 is an apocalyptic number.

1313412012 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 1313412012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1917115200).

1313412012 is an abundant number, since it is smaller than the sum of its proper divisors (2520818388).

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

1313412012 is a wasteful number, since it uses less digits than its factorization.

1313412012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1036 (or 1031 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 1313412012 is about 36241.0266410873. The cubic root of 1313412012 is about 1095.1333246055.

Adding to 1313412012 its reverse (2102143131), we get a palindrome (3415555143).

It can be divided in two parts, 131 and 3412012, that added together give a palindrome (3412143).

The spelling of 1313412012 in words is "one billion, three hundred thirteen million, four hundred twelve thousand, twelve".

Divisors: 1 2 3 4 6 9 11 12 18 19 22 33 36 38 44 57 66 76 99 114 132 171 198 209 227 228 342 396 418 454 627 681 684 769 836 908 1254 1362 1538 1881 2043 2307 2497 2508 2724 3076 3762 4086 4313 4614 4994 6921 7491 7524 8172 8459 8626 9228 9988 12939 13842 14611 14982 16918 17252 22473 25377 25878 27684 29222 29964 33836 38817 43833 44946 47443 50754 51756 58444 76131 77634 87666 89892 94886 101508 131499 142329 152262 155268 160721 174563 175332 189772 262998 284658 304524 321442 349126 426987 482163 523689 525996 569316 642884 698252 853974 964326 1047378 1446489 1571067 1707948 1920193 1928652 2094756 2892978 3142134 3316697 3840386 5760579 5785956 6284268 6633394 7680772 9950091 11521158 13266788 17281737 19900182 23042316 29850273 34563474 36483667 39800364 59700546 69126948 72967334 109451001 119401092 145934668 218902002 328353003 437804004 656706006 1313412012