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2300106444220 = 2251343613372689
BaseRepresentation
bin100001011110001001000…
…001110000110110111100
322010212222101001210201201
4201132021001300312330
5300141104222203340
64520353155345244
7325114532122414
oct41361101606674
98125871053651
102300106444220
11807519140212
12311938bb2224
13138b8c451a10
147d47bbbd644
153ec6ebb579a
hex21789070dbc

2300106444220 has 96 divisors (see below), whose sum is σ = 5410010612160. Its totient is φ = 815920680960.

The previous prime is 2300106444203. The next prime is 2300106444227. The reversal of 2300106444220 is 224446010032.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2300106444227) 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 31 ways as a sum of consecutive naturals, for example, 1004365 + ... + 2368324.

It is an arithmetic number, because the mean of its divisors is an integer number (56354277210).

Almost surely, 22300106444220 is an apocalyptic number.

2300106444220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2300106444220 is an abundant number, since it is smaller than the sum of its proper divisors (3109904167940).

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

2300106444220 is a wasteful number, since it uses less digits than its factorization.

2300106444220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3372815 (or 3372813 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

The spelling of 2300106444220 in words is "two trillion, three hundred billion, one hundred six million, four hundred forty-four thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 43 52 61 65 86 122 130 172 215 244 260 305 430 559 610 793 860 1118 1220 1586 2236 2623 2795 3172 3965 5246 5590 7930 10492 11180 13115 15860 26230 34099 52460 68198 136396 170495 340990 681980 3372689 6745378 13490756 16863445 33726890 43844957 67453780 87689914 145025627 175379828 205734029 219224785 290051254 411468058 438449570 580102508 725128135 822936116 876899140 1028670145 1450256270 1885333151 2057340290 2674542377 2900512540 3770666302 4114680580 5349084754 7541332604 8846563247 9426665755 10698169508 13372711885 17693126494 18853331510 26745423770 35386252988 37706663020 44232816235 53490847540 88465632470 115005322211 176931264940 230010644422 460021288844 575026611055 1150053222110 2300106444220