Search a number
-
+
1300442331320 = 2351146115114243
BaseRepresentation
bin10010111011001000011…
…001110011100010111000
311121022200001200012201122
4102323020121303202320
5132301301214100240
62433225344204412
7162645113301146
oct22731031634270
94538601605648
101300442331320
11461572880270
1219004b609708
139582893a752
1446d2820c596
1523c62b9b4b5
hex12ec86738b8

1300442331320 has 128 divisors (see below), whose sum is σ = 3201790394880. Its totient is φ = 471438912000.

The previous prime is 1300442331301. The next prime is 1300442331371. The reversal of 1300442331320 is 231332440031.

It is a self number, because there is not a number n which added to its sum of digits gives 1300442331320.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 306489119 + ... + 306493361.

It is an arithmetic number, because the mean of its divisors is an integer number (25013987460).

Almost surely, 21300442331320 is an apocalyptic number.

1300442331320 is a gapful number since it is divisible by the number (10) 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 1300442331320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1600895197440).

1300442331320 is an abundant number, since it is smaller than the sum of its proper divisors (1901348063560).

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

1300442331320 is a wasteful number, since it uses less digits than its factorization.

1300442331320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6237 (or 6233 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 26.

Adding to 1300442331320 its reverse (231332440031), we get a palindrome (1531774771351).

It can be divided in two parts, 13004 and 42331320, that added together give a palindrome (42344324).

The spelling of 1300442331320 in words is "one trillion, three hundred billion, four hundred forty-two million, three hundred thirty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 461 922 1511 1844 2305 3022 3688 4243 4610 5071 6044 7555 8486 9220 10142 12088 15110 16621 16972 18440 20284 21215 25355 30220 33242 33944 40568 42430 46673 50710 60440 66484 83105 84860 93346 101420 132968 166210 169720 186692 202840 233365 332420 373384 466730 664840 696571 933460 1393142 1866920 1956023 2786284 3482855 3912046 5572568 6411173 6965710 7662281 7824092 9780115 12822346 13931420 15324562 15648184 19560230 21516253 25644692 27862840 30649124 32055865 38311405 39120460 43032506 51289384 61298248 64111730 70522903 76622810 78240920 86065012 107581265 128223460 141045806 153245620 172130024 215162530 256446920 282091612 306491240 352614515 430325060 564183224 705229030 860650120 1410458060 2820916120 2955550753 5911101506 11822203012 14777753765 23644406024 29555507530 32511058283 59111015060 65022116566 118222030120 130044233132 162555291415 260088466264 325110582830 650221165660 1300442331320