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2100420300 = 22352115231217
BaseRepresentation
bin111110100110001…
…1101111011001100
312102101022101222110
41331030131323030
513300201422200
6544231144020
7103023164226
oct17514357314
95371271873
102100420300
119886a5950
124a7515010
13276207264
1415cd59416
15c45ebb50
hex7d31decc

2100420300 has 144 divisors (see below), whose sum is σ = 6647824512. Its totient is φ = 507801600.

The previous prime is 2100420277. The next prime is 2100420353. The reversal of 2100420300 is 30240012.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1725292 + ... + 1726508.

It is an arithmetic number, because the mean of its divisors is an integer number (46165448).

Almost surely, 22100420300 is an apocalyptic number.

2100420300 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 2100420300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3323912256).

2100420300 is an abundant number, since it is smaller than the sum of its proper divisors (4547404212).

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

2100420300 is a wasteful number, since it uses less digits than its factorization.

2100420300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1768 (or 1761 counting only the distinct ones).

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

The square root of 2100420300 is about 45830.3425690884. The cubic root of 2100420300 is about 1280.6645922128.

Adding to 2100420300 its reverse (30240012), we get a palindrome (2130660312).

The spelling of 2100420300 in words is "two billion, one hundred million, four hundred twenty thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 523 550 660 825 1046 1100 1217 1569 1650 2092 2434 2615 3138 3300 3651 4868 5230 5753 6085 6276 7302 7845 10460 11506 12170 13075 13387 14604 15690 17259 18255 23012 24340 26150 26774 28765 30425 31380 34518 36510 39225 40161 52300 53548 57530 60850 66935 69036 73020 78450 80322 86295 91275 115060 121700 133870 143825 156900 160644 172590 182550 200805 267740 287650 334675 345180 365100 401610 431475 575300 636491 669350 803220 862950 1004025 1272982 1338700 1725900 1909473 2008050 2545964 3182455 3818946 4016100 6364910 7001401 7637892 9547365 12729820 14002802 15912275 19094730 21004203 28005604 31824550 35007005 38189460 42008406 47736825 63649100 70014010 84016812 95473650 105021015 140028020 175035025 190947300 210042030 350070050 420084060 525105075 700140100 1050210150 2100420300