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1100200212111 = 3711136110756131
BaseRepresentation
bin10000000000101001000…
…010101111011010001111
310220011210211210121010010
4100000221002233122033
5121011202223241421
62201231444444303
7142325662334220
oct20005102573217
93804724717103
101100200212111
11394657379350
121592869a9693
137c996407c90
143b36dd03247
151d94334d076
hex100290af68f

1100200212111 has 128 divisors (see below), whose sum is σ = 2020622671872. Its totient is φ = 514060992000.

The previous prime is 1100200212103. The next prime is 1100200212149. The reversal of 1100200212111 is 1112120020011.

It is not a de Polignac number, because 1100200212111 - 23 = 1100200212103 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1100200212101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 19572516 + ... + 19628646.

It is an arithmetic number, because the mean of its divisors is an integer number (15786114624).

Almost surely, 21100200212111 is an apocalyptic number.

1100200212111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1100200212111 is a deficient number, since it is larger than the sum of its proper divisors (920422459761).

1100200212111 is a wasteful number, since it uses less digits than its factorization.

1100200212111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56333.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 1100200212111 its reverse (1112120020011), we get a palindrome (2212320232122).

The spelling of 1100200212111 in words is "one trillion, one hundred billion, two hundred million, two hundred twelve thousand, one hundred eleven".

Divisors: 1 3 7 11 13 21 33 39 61 77 91 107 143 183 231 273 321 427 429 671 749 793 1001 1177 1281 1391 2013 2247 2379 3003 3531 4173 4697 5551 6527 8239 8723 9737 14091 15301 16653 19581 24717 26169 29211 45689 45903 56131 61061 71797 84851 107107 137067 168393 183183 215391 254553 321321 392917 502579 593957 617441 729703 933361 1178751 1507737 1781871 1852323 2189109 2800083 3423991 4322087 5107921 6006017 6533527 8026733 10271973 12966261 15323763 18018051 19600581 23967937 24080199 37663901 42042119 44511883 56187131 66066187 71903811 78078221 112991703 126126357 133535649 168561393 198198561 234234663 263647307 311583181 366367037 462463309 489630713 546547547 790941921 858860431 934749543 1099101111 1387389927 1468892139 1639642641 2564569259 2576581293 3427414991 4030037407 4762771481 6012023017 7693707777 10282244973 12090112221 14288314443 18036069051 28210261849 33339400367 52390486291 84630785547 100018201101 157171458873 366733404037 1100200212111