Search a number
-
+
300010031022120 = 23359672719195083
BaseRepresentation
bin100010000110110111000011…
…1010101000000000000101000
31110100020200022220002022022220
41010031232013111000000220
5303310331020420201440
62542022412223514040
7120123003146655366
oct10415560725000050
91410220286068286
10300010031022120
11876575a32a2951
1229793b54458920
13cb52a94664573
1454127c4b52636
1524a3e392e88d0
hex110db87540028

300010031022120 has 128 divisors (see below), whose sum is σ = 901003448125440. Its totient is φ = 79916162376960.

The previous prime is 300010031022113. The next prime is 300010031022139. The reversal of 300010031022120 is 21220130010003.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 300010031022120.

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 31 ways as a sum of consecutive naturals, for example, 3155196099 + ... + 3155291181.

It is an arithmetic number, because the mean of its divisors is an integer number (7039089438480).

Almost surely, 2300010031022120 is an apocalyptic number.

300010031022120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

300010031022120 is an abundant number, since it is smaller than the sum of its proper divisors (600993417103320).

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

300010031022120 is a wasteful number, since it uses less digits than its factorization.

300010031022120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123255 (or 123251 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 300010031022120 its reverse (21220130010003), we get a palindrome (321230161032123).

The spelling of 300010031022120 in words is "three hundred trillion, ten billion, thirty-one million, twenty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 967 1934 2901 3868 4835 5802 7736 9670 11604 14505 19340 23208 27191 29010 38680 54382 58020 81573 95083 108764 116040 135955 163146 190166 217528 271910 285249 326292 380332 407865 475415 543820 570498 652584 760664 815730 950830 1087640 1140996 1426245 1631460 1901660 2281992 2852490 3262920 3803320 5704980 11409960 26293697 52587394 78881091 91945261 105174788 131468485 157762182 183890522 210349576 262936970 275835783 315524364 367781044 394405455 459726305 525873940 551671566 631048728 735562088 788810910 919452610 1051747880 1103343132 1379178915 1577621820 1838905220 2206686264 2585401853 2758357830 3155243640 3677810440 5170803706 5516715660 7756205559 10341607412 11033431320 12927009265 15512411118 20683214824 25854018530 31024822236 38781027795 51708037060 62049644472 77562055590 103416074120 155124111180 310248222360 2500083591851 5000167183702 7500250775553 10000334367404 12500417959255 15000501551106 20000668734808 25000835918510 30001003102212 37501253877765 50001671837020 60002006204424 75002507755530 100003343674040 150005015511060 300010031022120