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201202202111300 = 2252137511669123479
BaseRepresentation
bin101101101111111000001001…
…110010001110110101000100
3222101101202001102000000100122
4231233320021302032311010
5202332444102220030200
61551531003213001112
760244244063542235
oct5557701162166504
9871352042000318
10201202202111300
1159122413841235
121a696402483198
138836394b67210
14379834a7b908c
15183dae7262385
hexb6fe09c8ed44

201202202111300 has 144 divisors (see below), whose sum is σ = 471106072281600. Its totient is φ = 74146069440000.

The previous prime is 201202202111297. The next prime is 201202202111311. The reversal of 201202202111300 is 3111202202102.

It is a super-2 number, since 2×2012022021113002 (a number of 29 digits) contains 22 as substring.

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, 1629382961 + ... + 1629506439.

It is an arithmetic number, because the mean of its divisors is an integer number (3271569946400).

Almost surely, 2201202202111300 is an apocalyptic number.

201202202111300 is a gapful number since it is divisible by the number (20) 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 201202202111300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235553036140800).

201202202111300 is an abundant number, since it is smaller than the sum of its proper divisors (269903870170300).

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

201202202111300 is a wasteful number, since it uses less digits than its factorization.

201202202111300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125926 (or 125919 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 201202202111300 its reverse (3111202202102), we get a palindrome (204313404313402).

The spelling of 201202202111300 in words is "two hundred one trillion, two hundred two billion, two hundred two million, one hundred eleven thousand, three hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 650 751 1300 1502 1669 3004 3338 3755 6676 7510 8345 9763 15020 16690 18775 19526 21697 33380 37550 39052 41725 43394 48815 75100 83450 86788 97630 108485 123479 166900 195260 216970 244075 246958 433940 488150 493916 542425 617395 976300 1084850 1234790 1253419 1605227 2169700 2469580 2506838 3086975 3210454 5013676 6173950 6267095 6420908 8026135 12347900 12534190 16052270 16294447 25068380 31335475 32104540 32588894 40130675 62670950 65177788 80261350 81472235 92732729 125341900 160522700 162944470 185465458 206086451 325888940 370930916 407361175 412172902 463663645 814722350 824345804 927327290 1030432255 1205525477 1629444700 1854654580 2060864510 2318318225 2411050954 2679123863 4121729020 4636636450 4822101908 5152161275 5358247726 6027627385 9273272900 10304322550 10716495452 12055254770 13395619315 20608645100 24110509540 26791238630 30138136925 53582477260 60276273850 66978096575 120552547700 133956193150 154770924701 267912386300 309541849402 619083698804 773854623505 1547709247010 2012022021113 3095418494020 3869273117525 4024044042226 7738546235050 8048088084452 10060110105565 15477092470100 20120220211130 40240440422260 50300550527825 100601101055650 201202202111300