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2300010111200 = 255210727797001
BaseRepresentation
bin100001011110000011010…
…010010010000011100000
322010212201122210120200002
4201132003102102003200
5300140410042024300
64520335434515132
7325112252242214
oct41360322220340
98125648716602
102300010111200
1180747982384a
12311910895aa8
13138b754c3329
147d46d0a4944
153ec664d75d5
hex217834920e0

2300010111200 has 144 divisors (see below), whose sum is σ = 5687893857744. Its totient is φ = 908106240000.

The previous prime is 2300010111173. The next prime is 2300010111209. The reversal of 2300010111200 is 21110100032.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2300010111209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23662700 + ... + 23759700.

It is an arithmetic number, because the mean of its divisors is an integer number (39499262901).

Almost surely, 22300010111200 is an apocalyptic number.

2300010111200 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 2300010111200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2843946928872).

2300010111200 is an abundant number, since it is smaller than the sum of its proper divisors (3387883746544).

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

2300010111200 is a wasteful number, since it uses less digits than its factorization.

2300010111200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97405 (or 97392 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 2300010111200 its reverse (21110100032), we get a palindrome (2321120211232).

The spelling of 2300010111200 in words is "two trillion, three hundred billion, ten million, one hundred eleven thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 107 160 200 214 277 400 428 535 554 800 856 1070 1108 1385 1712 2140 2216 2675 2770 3424 4280 4432 5350 5540 6925 8560 8864 10700 11080 13850 17120 21400 22160 27700 29639 42800 44320 55400 59278 85600 97001 110800 118556 148195 194002 221600 237112 296390 388004 474224 485005 592780 740975 776008 948448 970010 1185560 1481950 1552016 1940020 2371120 2425025 2963900 3104032 3880040 4742240 4850050 5927800 7760080 9700100 10379107 11855600 15520160 19400200 20758214 23711200 26869277 38800400 41516428 51895535 53738554 77600800 83032856 103791070 107477108 134346385 166065712 207582140 214954216 259477675 268692770 332131424 415164280 429908432 518955350 537385540 671731925 830328560 859816864 1037910700 1074771080 1343463850 1660657120 2075821400 2149542160 2686927700 2875012639 4151642800 4299084320 5373855400 5750025278 8303285600 10747710800 11500050556 14375063195 21495421600 23000101112 28750126390 46000202224 57500252780 71875315975 92000404448 115000505560 143750631950 230001011120 287501263900 460002022240 575002527800 1150005055600 2300010111200