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11212101110 = 2572167181757
BaseRepresentation
bin10100111000100101…
…10001010111110110
31001221101112202021002
422130102301113312
5140430244213420
65052322123302
7544563200300
oct123422612766
931841482232
1011212101110
114833a36571
12220aab0532
131098b5a972
14785122970
154594d9075
hex29c4b15f6

11212101110 has 96 divisors (see below), whose sum is σ = 23779199808. Its totient is φ = 3794999040.

The previous prime is 11212101101. The next prime is 11212101113. The reversal of 11212101110 is 1110121211.

It is a super-2 number, since 2×112121011102 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11212101091 and 11212101100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11212101113) 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, 14810852 + ... + 14811608.

It is an arithmetic number, because the mean of its divisors is an integer number (247699998).

Almost surely, 211212101110 is an apocalyptic number.

11212101110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11212101110 is an abundant number, since it is smaller than the sum of its proper divisors (12567098698).

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

11212101110 is a wasteful number, since it uses less digits than its factorization.

11212101110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1126 (or 1119 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 11212101110 its reverse (1110121211), we get a palindrome (12322222321).

The spelling of 11212101110 in words is "eleven billion, two hundred twelve million, one hundred one thousand, one hundred ten".

Divisors: 1 2 5 7 10 14 35 49 70 98 167 181 245 334 362 490 757 835 905 1169 1267 1514 1670 1810 2338 2534 3785 5299 5845 6335 7570 8183 8869 10598 11690 12670 16366 17738 26495 30227 37093 40915 44345 52990 60454 74186 81830 88690 126419 137017 151135 185465 211589 252838 274034 302270 370930 423178 632095 685085 884933 959119 1057945 1264190 1370170 1481123 1769866 1918238 2115890 2962246 4424665 4795595 6194531 6713833 7405615 8849330 9591190 12389062 13427666 14811230 22881839 30972655 33569165 45763678 61945310 67138330 114409195 160172873 228818390 320345746 800864365 1121210111 1601728730 2242420222 5606050555 11212101110