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11100010000100 = 22527181761115123
BaseRepresentation
bin1010000110000110110000…
…1001110010111011100100
31110022011001210010002010012
42201201230021302323210
52423330310030000400
635335135120545352
72223643411151540
oct241415411627344
943264053102105
1011100010000100
11359a5402a525a
1212b330aa82258
1362695a0253c8
142a5359a7aa20
15143b0b71bd35
hexa186c272ee4

11100010000100 has 144 divisors (see below), whose sum is σ = 27716727432576. Its totient is φ = 3779685504000.

The previous prime is 11100010000073. The next prime is 11100010000159. The reversal of 11100010000100 is 100001000111.

It is a Harshad number since it is a multiple of its sum of digits (5).

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, 96361139 + ... + 96476261.

Almost surely, 211100010000100 is an apocalyptic number.

11100010000100 is a gapful number since it is divisible by the number (10) 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 11100010000100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13858363716288).

11100010000100 is an abundant number, since it is smaller than the sum of its proper divisors (16616717432476).

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

11100010000100 is a wasteful number, since it uses less digits than its factorization.

11100010000100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116086 (or 116079 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 5.

Adding to 11100010000100 its reverse (100001000111), we get a palindrome (11200011000211).

The spelling of 11100010000100 in words is "eleven trillion, one hundred billion, ten million, one hundred", and thus it is an aban number.

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 181 350 362 700 724 761 905 1267 1522 1810 2534 3044 3620 3805 4525 5068 5327 6335 7610 9050 10654 12670 15220 18100 19025 21308 25340 26635 31675 38050 53270 63350 76100 106540 115123 126700 133175 137741 230246 266350 275482 460492 532700 550964 575615 688705 805861 964187 1151230 1377410 1611722 1928374 2302460 2754820 2878075 3223444 3443525 3856748 4029305 4820935 5756150 6887050 8058610 9641870 11512300 13774100 16117220 19283740 20146525 20837263 24104675 40293050 41674526 48209350 80586100 83349052 87608603 96418700 104186315 145860841 175217206 208372630 291721682 350434412 416745260 438043015 520931575 583443364 613260221 729304205 876086030 1041863150 1226520442 1458608410 1752172060 2083726300 2190215075 2453040884 2917216820 3066301105 3646521025 4380430150 6132602210 7293042050 8760860300 12265204420 14586084100 15331505525 15857157143 30663011050 31714314286 61326022100 63428628572 79285785715 111000100001 158571571430 222000200002 317143142860 396428928575 444000400004 555000500005 792857857150 1110001000010 1585715714300 2220002000020 2775002500025 5550005000050 11100010000100