Search a number
-
+
1310243520330 = 234583130314957
BaseRepresentation
bin10011000100010000100…
…110010111111101001010
311122020222010100012110000
4103010100212113331022
5132431334320122310
62441530105503430
7163443025110213
oct23042046277512
94566863305400
101310243520330
11465742344678
12191b25aa1b76
139672b398b84
14475b7bbc40a
15241383874c0
hex13110997f4a

1310243520330 has 160 divisors (see below), whose sum is σ = 3568521204864. Its totient is φ = 344900674944.

The previous prime is 1310243520283. The next prime is 1310243520359. The reversal of 1310243520330 is 330253420131.

1310243520330 is a `hidden beast` number, since 1 + 3 + 102 + 4 + 3 + 520 + 3 + 30 = 666.

It is a super-2 number, since 2×13102435203302 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1310243520294 and 1310243520303.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 87593212 + ... + 87608168.

Almost surely, 21310243520330 is an apocalyptic number.

1310243520330 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 1310243520330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1784260602432).

1310243520330 is an abundant number, since it is smaller than the sum of its proper divisors (2258277684534).

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

1310243520330 is a wasteful number, since it uses less digits than its factorization.

1310243520330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16362 (or 16353 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

Adding to 1310243520330 its reverse (330253420131), we get a palindrome (1640496940461).

The spelling of 1310243520330 in words is "one trillion, three hundred ten billion, two hundred forty-three million, five hundred twenty thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 83 90 135 162 166 249 270 405 415 498 747 810 830 1245 1303 1494 2241 2490 2606 3735 3909 4482 6515 6723 7470 7818 11205 11727 13030 13446 14957 19545 22410 23454 29914 33615 35181 39090 44871 58635 67230 70362 74785 89742 105543 108149 117270 134613 149570 175905 211086 216298 224355 269226 324447 351810 403839 448710 527715 540745 648894 673065 807678 973341 1055430 1081490 1211517 1241431 1346130 1622235 1946682 2019195 2423034 2482862 2920023 3244470 3724293 4038390 4866705 5840046 6057585 6207155 7448586 8760069 9733410 11172879 12115170 12414310 14600115 17520138 18621465 19488971 22345758 29200230 33518637 37242930 38977942 43800345 55864395 58466913 67037274 87600690 97444855 100555911 111728790 116933826 167593185 175400739 194889710 201111822 292334565 335186370 350801478 502779555 526202217 584669130 877003695 1005559110 1052404434 1578606651 1617584593 1754007390 2631011085 3157213302 3235169186 4852753779 5262022170 7893033255 8087922965 9705507558 14558261337 15786066510 16175845930 24263768895 29116522674 43674784011 48527537790 72791306685 87349568022 131024352033 145582613370 218373920055 262048704066 436747840110 655121760165 1310243520330