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10010110201200 = 2432522780586167
BaseRepresentation
bin1001000110101010100100…
…0100000000110101110000
31022102221211210100200120200
42101222221010000311300
52303001201202414300
633142325305435200
72052130601546454
oct221525104006560
938387753320520
1010010110201200
11320a29a2778aa
12115803979bb00
13577c4591b7b5
142686c5b7a664
151255bc81d200
hex91aa9100d70

10010110201200 has 90 divisors (see below), whose sum is σ = 34737862996824. Its totient is φ = 2669362719360.

The previous prime is 10010110201163. The next prime is 10010110201207. The reversal of 10010110201200 is 210201101001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10010110201207) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1390289484 + ... + 1390296683.

Almost surely, 210010110201200 is an apocalyptic number.

10010110201200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10010110201200 is an abundant number, since it is smaller than the sum of its proper divisors (24727752795624).

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

10010110201200 is a wasteful number, since it uses less digits than its factorization.

10010110201200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2780586191 (or 2780586177 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 10010110201200 its reverse (210201101001), we get a palindrome (10220311302201).

The spelling of 10010110201200 in words is "ten trillion, ten billion, one hundred ten million, two hundred one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 36 40 45 48 50 60 72 75 80 90 100 120 144 150 180 200 225 240 300 360 400 450 600 720 900 1200 1800 3600 2780586167 5561172334 8341758501 11122344668 13902930835 16683517002 22244689336 25025275503 27805861670 33367034004 41708792505 44489378672 50050551006 55611723340 66734068008 69514654175 83417585010 100101102012 111223446680 125126377515 133468136016 139029308350 166835170020 200202204024 208543962525 222446893360 250252755030 278058616700 333670340040 400404408048 417087925050 500505510060 556117233400 625631887575 667340680080 834175850100 1001011020120 1112234466800 1251263775150 1668351700200 2002022040240 2502527550300 3336703400400 5005055100600 10010110201200