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2103211120 = 245312233803
BaseRepresentation
bin111110101011100…
…0111010001110000
312102120120012021011
41331113013101300
513301410223440
6544411040304
7103055666563
oct17527072160
95376505234
102103211120
1198a23170a
124a8440094
1327697362a
1415d4844da
15c499d9ea
hex7d5c7470

2103211120 has 80 divisors (see below), whose sum is σ = 5071675392. Its totient is φ = 810282240.

The previous prime is 2103210983. The next prime is 2103211129. The reversal of 2103211120 is 211123012.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2103211120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2103211129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 551139 + ... + 554941.

Almost surely, 22103211120 is an apocalyptic number.

2103211120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2103211120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2535837696).

2103211120 is an abundant number, since it is smaller than the sum of its proper divisors (2968464272).

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

2103211120 is a wasteful number, since it uses less digits than its factorization.

2103211120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4070 (or 4064 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

The square root of 2103211120 is about 45860.7797578715. The cubic root of 2103211120 is about 1281.2315458139.

Adding to 2103211120 its reverse (211123012), we get a palindrome (2314334132).

The spelling of 2103211120 in words is "two billion, one hundred three million, two hundred eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 31 40 62 80 124 155 223 248 310 446 496 620 892 1115 1240 1784 2230 2480 3568 3803 4460 6913 7606 8920 13826 15212 17840 19015 27652 30424 34565 38030 55304 60848 69130 76060 110608 117893 138260 152120 235786 276520 304240 471572 553040 589465 848069 943144 1178930 1696138 1886288 2357860 3392276 4240345 4715720 6784552 8480690 9431440 13569104 16961380 26290139 33922760 52580278 67845520 105160556 131450695 210321112 262901390 420642224 525802780 1051605560 2103211120