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10000200201110 = 2572167391131247
BaseRepresentation
bin1001000110000101101001…
…1000010111001110010110
31022102000021010221112010022
42101201122120113032112
52302320402222413420
633134010100025142
72051330166130100
oct221413230271626
938360233845108
1010000200201110
113206074344089
1211561329921b2
13577026783212
14268025964570
151251dc7dbc25
hex9185a617396

10000200201110 has 96 divisors (see below), whose sum is σ = 21070639392768. Its totient is φ = 3407128831680.

The previous prime is 10000200201037. The next prime is 10000200201113. The reversal of 10000200201110 is 1110200200001.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10000200201113) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 320021507 + ... + 320052753.

It is an arithmetic number, because the mean of its divisors is an integer number (219485827008).

Almost surely, 210000200201110 is an apocalyptic number.

10000200201110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10000200201110 is an abundant number, since it is smaller than the sum of its proper divisors (11070439191658).

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

10000200201110 is a wasteful number, since it uses less digits than its factorization.

10000200201110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35346 (or 35339 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 10000200201110 its reverse (1110200200001), we get a palindrome (11110400401111).

The spelling of 10000200201110 in words is "ten trillion, two hundred million, two hundred one thousand, one hundred ten".

Divisors: 1 2 5 7 10 14 35 49 70 98 167 245 334 490 835 1169 1670 2338 3911 5845 7822 8183 11690 16366 19555 27377 31247 39110 40915 54754 62494 81830 136885 156235 191639 218729 273770 312470 383278 437458 653137 958195 1093645 1306274 1531103 1916390 2187290 3062206 3265685 4571959 5218249 6531370 7655515 9143918 10436498 15311030 22859795 26091245 32003713 36527743 45719590 52182490 64007426 73055486 122207017 160018565 182638715 244414034 255694201 320037130 365277430 511388402 611035085 855449119 1222070170 1278471005 1710898238 2556942010 4277245595 5988143833 8554491190 11976287666 20408571839 29940719165 40817143678 59881438330 102042859195 142860002873 204085718390 285720005746 714300014365 1000020020111 1428600028730 2000040040222 5000100100555 10000200201110