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2103307650 = 2325229533041
BaseRepresentation
bin111110101011101…
…1110110110000010
312102120202002200100
41331113132312002
513301421321100
6544413103230
7103056551163
oct17527366602
95376662610
102103307650
1198a298194
124a8487b16
132769a8552
1415d4ab76a
15c49bc400
hex7d5ded82

2103307650 has 144 divisors (see below), whose sum is σ = 5958000360. Its totient is φ = 531148800.

The previous prime is 2103307637. The next prime is 2103307651. The reversal of 2103307650 is 567033012.

It is a happy number.

2103307650 is a `hidden beast` number, since 2 + 1 + 0 + 3 + 3 + 0 + 7 + 650 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 867714849 + 1235592801 = 29457^2 + 35151^2 .

It is not an unprimeable number, because it can be changed into a prime (2103307651) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 690130 + ... + 693170.

Almost surely, 22103307650 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2103307650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2979000180).

2103307650 is an abundant number, since it is smaller than the sum of its proper divisors (3854692710).

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

2103307650 is a wasteful number, since it uses less digits than its factorization.

2103307650 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3141 (or 3133 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The square root of 2103307650 is about 45861.8321701172. The cubic root of 2103307650 is about 1281.2511468560.

The spelling of 2103307650 in words is "two billion, one hundred three million, three hundred seven thousand, six hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 29 30 45 50 53 58 75 87 90 106 145 150 159 174 225 261 265 290 318 435 450 477 522 530 725 795 870 954 1305 1325 1450 1537 1590 2175 2385 2610 2650 3041 3074 3975 4350 4611 4770 6082 6525 7685 7950 9123 9222 11925 13050 13833 15205 15370 18246 23055 23850 27369 27666 30410 38425 45615 46110 54738 69165 76025 76850 88189 91230 115275 136845 138330 152050 161173 176378 228075 230550 264567 273690 322346 345825 440945 456150 483519 529134 684225 691650 793701 805865 881890 967038 1322835 1368450 1450557 1587402 1611730 2204725 2417595 2645670 2901114 3968505 4029325 4409450 4674017 4835190 6614175 7252785 7937010 8058650 9348034 12087975 13228350 14022051 14505570 19842525 23370085 24175950 28044102 36263925 39685050 42066153 46740170 70110255 72527850 84132306 116850425 140220510 210330765 233700850 350551275 420661530 701102550 1051653825 2103307650