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2130222203120 = 245114733511453
BaseRepresentation
bin11110111111111011001…
…000110100000011110000
321112122110211220011222002
4132333323020310003300
5234400143340444440
64310335514433132
7306621614652644
oct36777310640360
97478424804862
102130222203120
11751470998460
122a4a271327a8
13125b5749832b
147516367ac24
153a62a5d4115
hex1effb2340f0

2130222203120 has 80 divisors (see below), whose sum is σ = 5404170262752. Its totient is φ = 774461076480.

The previous prime is 2130222203063. The next prime is 2130222203143. The reversal of 2130222203120 is 213022220312.

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 (20).

It is a junction number, because it is equal to n+sod(n) for n = 2130222203092 and 2130222203101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3909314 + ... + 4420766.

Almost surely, 22130222203120 is an apocalyptic number.

2130222203120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2130222203120 is an abundant number, since it is smaller than the sum of its proper divisors (3273948059632).

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

2130222203120 is a wasteful number, since it uses less digits than its factorization.

2130222203120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516210 (or 516204 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 2130222203120 its reverse (213022220312), we get a palindrome (2343244423432).

It can be divided in two parts, 213022 and 2203120, that added together give a palindrome (2416142).

The spelling of 2130222203120 in words is "two trillion, one hundred thirty billion, two hundred twenty-two million, two hundred three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 4733 9466 18932 23665 37864 47330 52063 75728 94660 104126 189320 208252 260315 378640 416504 511453 520630 833008 1022906 1041260 2045812 2082520 2557265 4091624 4165040 5114530 5625983 8183248 10229060 11251966 20458120 22503932 28129915 40916240 45007864 56259830 90015728 112519660 225039320 450078640 2420707049 4841414098 9682828196 12103535245 19365656392 24207070490 26627777539 38731312784 48414140980 53255555078 96828281960 106511110156 133138887695 193656563920 213022220312 266277775390 426044440624 532555550780 1065111101560 2130222203120