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2023030000200 = 2335211227865427
BaseRepresentation
bin11101011100000101111…
…111000000101001001000
321011101210102212002002110
4131130011333000221020
5231121131140001300
64145211145502320
7266105366163546
oct35340577005110
97141712762073
102023030000200
1170aa64770900
122880b07a19a0
13118a038c8621
146dcb534ad96
1537954c66550
hex1d705fc0a48

2023030000200 has 144 divisors (see below), whose sum is σ = 6893349578640. Its totient is φ = 490431497600.

The previous prime is 2023030000183. The next prime is 2023030000219. The reversal of 2023030000200 is 20000303202.

It is a Harshad number since it is a multiple of its sum of digits (12).

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 35 ways as a sum of consecutive naturals, for example, 13860114 + ... + 14005313.

It is an arithmetic number, because the mean of its divisors is an integer number (47870483185).

Almost surely, 22023030000200 is an apocalyptic number.

2023030000200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2023030000200 is an abundant number, since it is smaller than the sum of its proper divisors (4870319578440).

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

2023030000200 is a wasteful number, since it uses less digits than its factorization.

2023030000200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27865468 (or 27865448 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 12.

Adding to 2023030000200 its reverse (20000303202), we get a palindrome (2043030303402).

The spelling of 2023030000200 in words is "two trillion, twenty-three billion, thirty million, two hundred", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 25 30 33 40 44 50 55 60 66 75 88 100 110 120 121 132 150 165 200 220 242 264 275 300 330 363 440 484 550 600 605 660 726 825 968 1100 1210 1320 1452 1650 1815 2200 2420 2904 3025 3300 3630 4840 6050 6600 7260 9075 12100 14520 18150 24200 36300 72600 27865427 55730854 83596281 111461708 139327135 167192562 222923416 278654270 306519697 334385124 417981405 557308540 613039394 668770248 696635675 835962810 919559091 1114617080 1226078788 1393271350 1532598485 1671925620 1839118182 2089907025 2452157576 2786542700 3065196970 3343851240 3371716667 3678236364 4179814050 4597795455 5573085400 6130393940 6743433334 7356472728 7662992425 8359628100 9195590910 10115150001 12260787880 13486866668 15325984850 16719256200 16858583335 18391181820 20230300002 22988977275 26973733336 30651969700 33717166670 36782363640 40460600004 45977954550 50575750005 61303939400 67434333340 80921200008 84292916675 91955909100 101151500010 134868666680 168585833350 183911818200 202303000020 252878750025 337171666700 404606000040 505757500050 674343333400 1011515000100 2023030000200