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2010000220320 = 253519220394761
BaseRepresentation
bin11101001111111101010…
…110010110000010100000
321010011011101000200022110
4131033331112112002200
5230412440024022240
64135214212235320
7265134451655241
oct35177526260240
97104141020273
102010000220320
117054887a6384
1228567500bb40
131177082cabc1
146d3daa6ccc8
1537440dd0c80
hex1d3fd5960a0

2010000220320 has 96 divisors (see below), whose sum is σ = 6664737602880. Its totient is φ = 507789527040.

The previous prime is 2010000220313. The next prime is 2010000220331. The reversal of 2010000220320 is 230220000102.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a junction number, because it is equal to n+sod(n) for n = 2010000220296 and 2010000220305.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 110188261 + ... + 110206500.

It is an arithmetic number, because the mean of its divisors is an integer number (69424350030).

Almost surely, 22010000220320 is an apocalyptic number.

2010000220320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2010000220320 is an abundant number, since it is smaller than the sum of its proper divisors (4654737382560).

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

2010000220320 is a wasteful number, since it uses less digits than its factorization.

2010000220320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220394798 (or 220394790 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

Adding to 2010000220320 its reverse (230220000102), we get a palindrome (2240220220422).

The spelling of 2010000220320 in words is "two trillion, ten billion, two hundred twenty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 32 38 40 48 57 60 76 80 95 96 114 120 152 160 190 228 240 285 304 380 456 480 570 608 760 912 1140 1520 1824 2280 3040 4560 9120 220394761 440789522 661184283 881579044 1101973805 1322368566 1763158088 2203947610 2644737132 3305921415 3526316176 4187500459 4407895220 5289474264 6611842830 7052632352 8375000918 8815790440 10578948528 12562501377 13223685660 16750001836 17631580880 20937502295 21157897056 25125002754 26447371320 33500003672 35263161760 41875004590 50250005508 52894742640 62812506885 67000007344 83750009180 100500011016 105789485280 125625013770 134000014688 167500018360 201000022032 251250027540 335000036720 402000044064 502500055080 670000073440 1005000110160 2010000220320