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1004003114220 = 2232579199354799
BaseRepresentation
bin11101001110000110011…
…11111011110011101100
310112222111200222200211200
432213003033323303230
5112422144244123340
62045122131045500
7132352063442661
oct16470317736354
93488450880750
101004003114220
11357882646957
121426ba740890
13738a573a892
1436845d6ba68
151b1b2e04330
hexe9c33fbcec

1004003114220 has 144 divisors (see below), whose sum is σ = 3099532800000. Its totient is φ = 263016014976.

The previous prime is 1004003114197. The next prime is 1004003114227. The reversal of 1004003114220 is 224113004001.

1004003114220 is a `hidden beast` number, since 1 + 0 + 0 + 400 + 31 + 14 + 220 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1004003114193 and 1004003114202.

It is not an unprimeable number, because it can be changed into a prime (1004003114227) 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, 2652381 + ... + 3007179.

Almost surely, 21004003114220 is an apocalyptic number.

1004003114220 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 1004003114220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1549766400000).

1004003114220 is an abundant number, since it is smaller than the sum of its proper divisors (2095529685780).

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

1004003114220 is a wasteful number, since it uses less digits than its factorization.

1004003114220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355092 (or 355087 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 1004003114220 its reverse (224113004001), we get a palindrome (1228116118221).

The spelling of 1004003114220 in words is "one trillion, four billion, three million, one hundred fourteen thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 79 90 158 180 199 237 316 395 398 474 597 711 790 796 948 995 1185 1194 1422 1580 1791 1990 2370 2388 2844 2985 3555 3582 3980 4740 5970 7110 7164 8955 11940 14220 15721 17910 31442 35820 47163 62884 78605 94326 141489 157210 188652 235815 282978 314420 354799 471630 565956 707445 709598 943260 1064397 1414890 1419196 1773995 2128794 2829780 3193191 3547990 4257588 5321985 6386382 7095980 10643970 12772764 15965955 21287940 28029121 31931910 56058242 63863820 70605001 84087363 112116484 140145605 141210002 168174726 211815003 252262089 280291210 282420004 336349452 353025005 420436815 423630006 504524178 560582420 635445009 706050010 840873630 847260012 1009048356 1059075015 1261310445 1270890018 1412100020 1681747260 2118150030 2522620890 2541780036 3177225045 4236300060 5045241780 5577795079 6354450090 11155590158 12708900180 16733385237 22311180316 27888975395 33466770474 50200155711 55777950790 66933540948 83666926185 100400311422 111555901580 167333852370 200800622844 251000778555 334667704740 502001557110 1004003114220