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2121353300 = 2252112816863
BaseRepresentation
bin111111001110001…
…0100100001010100
312110211200220122202
41332130110201110
513321031301200
6550255544032
7103366130333
oct17634244124
95424626582
102121353300
119994a3150
124b252b018
1327a656251
14161a47d1a
15c63841d5
hex7e714854

2121353300 has 72 divisors (see below), whose sum is σ = 5040427392. Its totient is φ = 768544000.

The previous prime is 2121353257. The next prime is 2121353303. The reversal of 2121353300 is 33531212.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2121353303) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 305669 + ... + 312531.

It is an arithmetic number, because the mean of its divisors is an integer number (70005936).

Almost surely, 22121353300 is an apocalyptic number.

2121353300 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 2121353300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2520213696).

2121353300 is an abundant number, since it is smaller than the sum of its proper divisors (2919074092).

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

2121353300 is a wasteful number, since it uses less digits than its factorization.

2121353300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7169 (or 7162 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 20.

The square root of 2121353300 is about 46058.1512872586. The cubic root of 2121353300 is about 1284.9049473716.

Adding to 2121353300 its reverse (33531212), we get a palindrome (2154884512).

The spelling of 2121353300 in words is "two billion, one hundred twenty-one million, three hundred fifty-three thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 281 550 562 1100 1124 1405 2810 3091 5620 6182 6863 7025 12364 13726 14050 15455 27452 28100 30910 34315 61820 68630 75493 77275 137260 150986 154550 171575 301972 309100 343150 377465 686300 754930 1509860 1887325 1928503 3774650 3857006 7549300 7714012 9642515 19285030 21213533 38570060 42427066 48212575 84854132 96425150 106067665 192850300 212135330 424270660 530338325 1060676650 2121353300