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2001230302320 = 2432519913967269
BaseRepresentation
bin11101000111110010100…
…111110000110001110000
321002022112011212200110200
4131013302213300301300
5230242004424133240
64131204050355200
7264404231621214
oct35076247606160
97068464780420
102001230302320
11701798374167
12283a27b8bb00
1311693b408302
146cc0802a944
15370cb001930
hex1d1f29f0c70

2001230302320 has 120 divisors (see below), whose sum is σ = 6754571772000. Its totient is φ = 530979660288.

The previous prime is 2001230302307. The next prime is 2001230302361. The reversal of 2001230302320 is 232030321002.

It is a happy number.

2001230302320 is a `hidden beast` number, since 2 + 0 + 0 + 12 + 30 + 302 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

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 = 2001230302293 and 2001230302302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6840355 + ... + 7126914.

It is an arithmetic number, because the mean of its divisors is an integer number (56288098100).

Almost surely, 22001230302320 is an apocalyptic number.

2001230302320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2001230302320 is an abundant number, since it is smaller than the sum of its proper divisors (4753341469680).

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

2001230302320 is a wasteful number, since it uses less digits than its factorization.

2001230302320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13967487 (or 13967478 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 2001230302320 its reverse (232030321002), we get a palindrome (2233260623322).

The spelling of 2001230302320 in words is "two trillion, one billion, two hundred thirty million, three hundred two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 199 240 360 398 597 720 796 995 1194 1592 1791 1990 2388 2985 3184 3582 3980 4776 5970 7164 7960 8955 9552 11940 14328 15920 17910 23880 28656 35820 47760 71640 143280 13967269 27934538 41901807 55869076 69836345 83803614 111738152 125705421 139672690 167607228 209509035 223476304 251410842 279345380 335214456 419018070 502821684 558690760 628527105 670428912 838036140 1005643368 1117381520 1257054210 1676072280 2011286736 2514108420 2779486531 3352144560 5028216840 5558973062 8338459593 10056433680 11117946124 13897432655 16676919186 22235892248 25015378779 27794865310 33353838372 41692297965 44471784496 50030757558 55589730620 66707676744 83384595930 100061515116 111179461240 125076893895 133415353488 166769191860 200123030232 222358922480 250153787790 333538383720 400246060464 500307575580 667076767440 1000615151160 2001230302320