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2101222320 = 243510098677
BaseRepresentation
bin111110100111110…
…0001101110110000
312102102211011010220
41331033201232300
513300403103240
6544300253040
7103033044411
oct17517415660
95372734126
102101222320
119890a347a
124a7841180
13276428322
1415d0c7808
15c47095d0
hex7d3e1bb0

2101222320 has 80 divisors (see below), whose sum is σ = 6520996320. Its totient is φ = 559706112.

The previous prime is 2101222307. The next prime is 2101222327. The reversal of 2101222320 is 232221012.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2101222320.

It is not an unprimeable number, because it can be changed into a prime (2101222327) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 237822 + ... + 246498.

It is an arithmetic number, because the mean of its divisors is an integer number (81512454).

Almost surely, 22101222320 is an apocalyptic number.

2101222320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2101222320 is an abundant number, since it is smaller than the sum of its proper divisors (4419774000).

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

2101222320 is a wasteful number, since it uses less digits than its factorization.

2101222320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9702 (or 9696 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 2101222320 is about 45839.0916140362. The cubic root of 2101222320 is about 1280.8275735477.

Adding to 2101222320 its reverse (232221012), we get a palindrome (2333443332).

The spelling of 2101222320 in words is "two billion, one hundred one million, two hundred twenty-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 1009 2018 3027 4036 5045 6054 8072 8677 10090 12108 15135 16144 17354 20180 24216 26031 30270 34708 40360 43385 48432 52062 60540 69416 80720 86770 104124 121080 130155 138832 173540 208248 242160 260310 347080 416496 520620 694160 1041240 2082480 8755093 17510186 26265279 35020372 43775465 52530558 70040744 87550930 105061116 131326395 140081488 175101860 210122232 262652790 350203720 420244464 525305580 700407440 1050611160 2101222320