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2100302244 = 2233413311433
BaseRepresentation
bin111110100110000…
…0001000110100100
312102101002102001000
41331030001012210
513300134132434
6544224433300
7103022163105
oct17514010644
95371072030
102100302244
11988625187
124a7478830
132761955c1
1415cd283ac
15c45c6b99
hex7d3011a4

2100302244 has 96 divisors (see below), whose sum is σ = 5598794880. Its totient is φ = 680486400.

The previous prime is 2100302233. The next prime is 2100302257. The reversal of 2100302244 is 4422030012.

It is a super-2 number, since 2×21003022442 = 8822539032302871072, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1464952 + ... + 1466384.

It is an arithmetic number, because the mean of its divisors is an integer number (58320780).

Almost surely, 22100302244 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2100302244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2799397440).

2100302244 is an abundant number, since it is smaller than the sum of its proper divisors (3498492636).

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

2100302244 is a wasteful number, since it uses less digits than its factorization.

2100302244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1818 (or 1810 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 2100302244 is about 45829.0545833099. The cubic root of 2100302244 is about 1280.6405981307.

Adding to 2100302244 its reverse (4422030012), we get a palindrome (6522332256).

The spelling of 2100302244 in words is "two billion, one hundred million, three hundred two thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 41 54 82 108 123 164 246 331 369 492 662 738 993 1107 1324 1433 1476 1986 2214 2866 2979 3972 4299 4428 5732 5958 8598 8937 11916 12897 13571 17196 17874 25794 27142 35748 38691 40713 51588 54284 58753 77382 81426 117506 122139 154764 162852 176259 235012 244278 352518 366417 474323 488556 528777 705036 732834 948646 1057554 1422969 1465668 1586331 1897292 2115108 2845938 3172662 4268907 5691876 6345324 8537814 12806721 17075628 19447243 25613442 38894486 51226884 58341729 77788972 116683458 175025187 233366916 350050374 525075561 700100748 1050151122 2100302244