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1002240220300 = 2252114337356807
BaseRepresentation
bin11101001010110100010…
…11000001110010001100
310112210221211210102000021
432211122023001302030
5112410041444022200
62044231154111524
7132260306211364
oct16453213016214
93483854712007
101002240220300
11357058526630
121422a827b5a4
1373684440097
1436719b939a4
151b10d27a41a
hexe95a2c1c8c

1002240220300 has 144 divisors (see below), whose sum is σ = 2434303694592. Its totient is φ = 355014777600.

The previous prime is 1002240220271. The next prime is 1002240220327. The reversal of 1002240220300 is 30220422001.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17614497 + ... + 17671303.

It is an arithmetic number, because the mean of its divisors is an integer number (16904886768).

Almost surely, 21002240220300 is an apocalyptic number.

1002240220300 is a gapful number since it is divisible by the number (10) 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 1002240220300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1217151847296).

1002240220300 is an abundant number, since it is smaller than the sum of its proper divisors (1432063474292).

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

1002240220300 is a wasteful number, since it uses less digits than its factorization.

1002240220300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57248 (or 57241 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 1002240220300 its reverse (30220422001), we get a palindrome (1032460642301).

The spelling of 1002240220300 in words is "one trillion, two billion, two hundred forty million, two hundred twenty thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 43 44 50 55 86 100 110 172 215 220 275 373 430 473 550 746 860 946 1075 1100 1492 1865 1892 2150 2365 3730 4103 4300 4730 7460 8206 9325 9460 11825 16039 16412 18650 20515 23650 32078 37300 41030 47300 56807 64156 80195 82060 102575 113614 160390 176429 205150 227228 284035 320780 352858 400975 410300 568070 624877 705716 801950 882145 1136140 1249754 1420175 1603900 1764290 2442701 2499508 2840350 3124385 3528580 4410725 4885402 5680700 6248770 8821450 9770804 12213505 12497540 15621925 17642900 21189011 24427010 26869711 31243850 42378022 48854020 53739422 61067525 62487700 84756044 105945055 107478844 122135050 134348555 211890110 233079121 244270100 268697110 423780220 466158242 529725275 537394220 671742775 911127473 932316484 1059450550 1165395605 1343485550 1822254946 2118901100 2330791210 2686971100 3644509892 4555637365 4661582420 5826978025 9111274730 10022402203 11653956050 18222549460 20044804406 22778186825 23307912100 40089608812 45556373650 50112011015 91112747300 100224022030 200448044060 250560055075 501120110150 1002240220300