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2232013210020 = 22325111127279399
BaseRepresentation
bin100000011110101110010…
…110101100000110100100
321220101012211122002210200
4200132232112230012210
5243032130340210040
64425212301150500
7320154240151626
oct40365626540644
97811184562720
102232013210020
117906562a5550
123006b485b430
1313262a069669
147a05c512c16
153d0d6b9c630
hex207ae5ac1a4

2232013210020 has 72 divisors (see below), whose sum is σ = 7385934628800. Its totient is φ = 541094111040.

The previous prime is 2232013210003. The next prime is 2232013210081. The reversal of 2232013210020 is 200123102322.

2232013210020 is a `hidden beast` number, since 2 + 2 + 320 + 1 + 321 + 0 + 0 + 20 = 666.

It is a super-3 number, since 3×22320132100203 (a number of 38 digits) contains 333 as substring.

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 = 2232013209975 and 2232013210002.

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 23 ways as a sum of consecutive naturals, for example, 563637720 + ... + 563641679.

It is an arithmetic number, because the mean of its divisors is an integer number (102582425400).

Almost surely, 22232013210020 is an apocalyptic number.

2232013210020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2232013210020 is an abundant number, since it is smaller than the sum of its proper divisors (5153921418780).

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

2232013210020 is a wasteful number, since it uses less digits than its factorization.

2232013210020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1127279425 (or 1127279420 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 2232013210020 its reverse (200123102322), we get a palindrome (2432136312342).

The spelling of 2232013210020 in words is "two trillion, two hundred thirty-two billion, thirteen million, two hundred ten thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1980 1127279399 2254558798 3381838197 4509117596 5636396995 6763676394 10145514591 11272793990 12400073389 13527352788 16909190985 20291029182 22545587980 24800146778 33818381970 37200220167 40582058364 49600293556 50727572955 62000366945 67636763940 74400440334 101455145910 111600660501 124000733890 148800880668 186001100835 202910291820 223201321002 248001467780 372002201670 446402642004 558003302505 744004403340 1116006605010 2232013210020