Search a number
-
+
1042244220300 = 2235223314872577
BaseRepresentation
bin11110010101010101001…
…10001011010110001100
310200122012210101011110220
433022222212023112030
5114034004010022200
62114444514431340
7135204532462113
oct17125246132614
93618183334426
101042244220300
11372016766958
12149bb1592550
137738b2931ba
1438632ac2c7a
151c1a02a24a0
hexf2aa98b58c

1042244220300 has 144 divisors (see below), whose sum is σ = 3248177436672. Its totient is φ = 257272012800.

The previous prime is 1042244220253. The next prime is 1042244220301. The reversal of 1042244220300 is 30224422401.

1042244220300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (1042244220301) 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, 2222389 + ... + 2650188.

Almost surely, 21042244220300 is an apocalyptic number.

1042244220300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1042244220300 is an abundant number, since it is smaller than the sum of its proper divisors (2205933216372).

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

1042244220300 is a wasteful number, since it uses less digits than its factorization.

1042244220300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4872648 (or 4872641 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 1042244220300 its reverse (30224422401), we get a palindrome (1072468642701).

The spelling of 1042244220300 in words is "one trillion, forty-two billion, two hundred forty-four million, two hundred twenty thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 25 30 31 46 50 60 62 69 75 92 93 100 115 124 138 150 155 186 230 276 300 310 345 372 460 465 575 620 690 713 775 930 1150 1380 1426 1550 1725 1860 2139 2300 2325 2852 3100 3450 3565 4278 4650 6900 7130 8556 9300 10695 14260 17825 21390 35650 42780 53475 71300 106950 213900 4872577 9745154 14617731 19490308 24362885 29235462 48725770 58470924 73088655 97451540 112069271 121814425 146177310 151049887 224138542 243628850 292354620 302099774 336207813 365443275 448277084 453149661 487257700 560346355 604199548 672415626 730886550 755249435 906299322 1120692710 1344831252 1461773100 1510498870 1681039065 1812598644 2241385420 2265748305 2801731775 3020997740 3362078130 3474147401 3776247175 4531496610 5603463550 6724156260 6948294802 7552494350 8405195325 9062993220 10422442203 11206927100 11328741525 13896589604 15104988700 16810390650 17370737005 20844884406 22657483050 33620781300 34741474010 41689768812 45314966100 52112211015 69482948020 86853685025 104224422030 173707370050 208448844060 260561055075 347414740100 521122110150 1042244220300