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2003000212300 = 22521719910935417
BaseRepresentation
bin11101001001011100000…
…111011011101101001100
321002111002112021102112011
4131021130013123231030
5230304121023243200
64132055433551004
7264466132613503
oct35113407335514
97074075242464
102003000212300
1170251644678a
12284240875464
13116b60cc1419
146cd3510d83a
15371815b45ba
hex1d25c1dbb4c

2003000212300 has 144 divisors (see below), whose sum is σ = 4630400510400. Its totient is φ = 749456547840.

The previous prime is 2003000212289. The next prime is 2003000212337. The reversal of 2003000212300 is 32120003002.

It is a happy number.

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, 369759192 + ... + 369764608.

It is an arithmetic number, because the mean of its divisors is an integer number (32155559100).

Almost surely, 22003000212300 is an apocalyptic number.

2003000212300 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 2003000212300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2315200255200).

2003000212300 is an abundant number, since it is smaller than the sum of its proper divisors (2627400298100).

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

2003000212300 is a wasteful number, since it uses less digits than its factorization.

2003000212300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6740 (or 6733 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

Adding to 2003000212300 its reverse (32120003002), we get a palindrome (2035120215302).

The spelling of 2003000212300 in words is "two trillion, three billion, two hundred twelve thousand, three hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 199 340 398 425 796 850 995 1093 1700 1990 2186 3383 3980 4372 4975 5417 5465 6766 9950 10834 10930 13532 16915 18581 19900 21668 21860 27085 27325 33830 37162 54170 54650 67660 74324 84575 92089 92905 108340 109300 135425 169150 184178 185810 217507 270850 338300 368356 371620 435014 460445 464525 541700 870028 920890 929050 1077983 1087535 1841780 1858100 2155966 2175070 2302225 3697619 4311932 4350140 4604450 5389915 5437675 5920781 7395238 9208900 10779830 10875350 11841562 14790476 18325711 18488095 21559660 21750700 23683124 26949575 29603905 36651422 36976190 53899150 59207810 73302844 73952380 91628555 92440475 100653277 107798300 118415620 148019525 183257110 184880950 201306554 296039050 366514220 369761900 402613108 458142775 503266385 592078100 916285550 1006532770 1178235419 1832571100 2013065540 2356470838 2516331925 4712941676 5032663850 5891177095 10065327700 11782354190 20030002123 23564708380 29455885475 40060004246 58911770950 80120008492 100150010615 117823541900 200300021230 400600042460 500750053075 1001500106150 2003000212300