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2102005056 = 263412571039
BaseRepresentation
bin111110101001010…
…0000110101000000
312102111021220212010
41331102200311000
513301103130211
6544325132520
7103042514424
oct17522406500
95374256763
102102005056
11989588568
124a7b5a140
13276640698
1415d24cb84
15c48114a6
hex7d4a0d40

2102005056 has 112 divisors (see below), whose sum is σ = 5724875520. Its totient is φ = 680263680.

The previous prime is 2102005043. The next prime is 2102005063. The reversal of 2102005056 is 6505002012.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 2022585 + ... + 2023623.

It is an arithmetic number, because the mean of its divisors is an integer number (51114960).

Almost surely, 22102005056 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 2102005056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2862437760).

2102005056 is an abundant number, since it is smaller than the sum of its proper divisors (3622870464).

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

2102005056 is a wasteful number, since it uses less digits than its factorization.

2102005056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1352 (or 1342 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 2102005056 is about 45847.6286845896. The cubic root of 2102005056 is about 1280.9865961286.

Adding to 2102005056 its reverse (6505002012), we get a palindrome (8607007068).

The spelling of 2102005056 in words is "two billion, one hundred two million, five thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 64 82 96 123 164 192 246 257 328 492 514 656 771 984 1028 1039 1312 1542 1968 2056 2078 2624 3084 3117 3936 4112 4156 6168 6234 7872 8224 8312 10537 12336 12468 16448 16624 21074 24672 24936 31611 33248 42148 42599 49344 49872 63222 66496 84296 85198 99744 126444 127797 168592 170396 199488 252888 255594 267023 337184 340792 505776 511188 534046 674368 681584 801069 1011552 1022376 1068092 1363168 1602138 2023104 2044752 2136184 2726336 3204276 4089504 4272368 6408552 8179008 8544736 10947943 12817104 17089472 21895886 25634208 32843829 43791772 51268416 65687658 87583544 131375316 175167088 262750632 350334176 525501264 700668352 1051002528 2102005056