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211300201112 = 23711133156131
BaseRepresentation
bin1100010011001001111…
…0010011001010011000
3202012101212121101020112
43010302132103022120
511430220322413422
6241023040343452
721160134034520
oct3046236231230
9665355541215
10211300201112
1181680500590
1234b50014b88
1316c054b5000
14a326bb8680
15576a561ee2
hex3132793298

211300201112 has 128 divisors (see below), whose sum is σ = 535095590400. Its totient is φ = 75991593600.

The previous prime is 211300201109. The next prime is 211300201121. The reversal of 211300201112 is 211102003112.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1275287 + ... + 1431417.

It is an arithmetic number, because the mean of its divisors is an integer number (4180434300).

Almost surely, 2211300201112 is an apocalyptic number.

211300201112 is a gapful number since it is divisible by the number (22) 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 211300201112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267547795200).

211300201112 is an abundant number, since it is smaller than the sum of its proper divisors (323795389288).

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

211300201112 is a wasteful number, since it uses less digits than its factorization.

211300201112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156194 (or 156164 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 211300201112 its reverse (211102003112), we get a palindrome (422402204224).

The spelling of 211300201112 in words is "two hundred eleven billion, three hundred million, two hundred one thousand, one hundred twelve".

Divisors: 1 2 4 7 8 11 13 14 22 26 28 44 52 56 77 88 91 104 143 154 169 182 286 308 338 364 572 616 676 728 1001 1144 1183 1352 1859 2002 2197 2366 3718 4004 4394 4732 7436 8008 8788 9464 13013 14872 15379 17576 24167 26026 30758 48334 52052 61516 96668 104104 123032 156131 169169 193336 312262 338338 624524 676676 1092917 1249048 1353352 1717441 2029703 2185834 3434882 4059406 4371668 6869764 8118812 8743336 12022087 13739528 14207921 16237624 22326733 24044174 26386139 28415842 44653466 48088348 52772278 56831684 89306932 96176696 105544556 113663368 156287131 178613864 184702973 211089112 290247529 312574262 343019807 369405946 580495058 625148524 686039614 738811892 1160990116 1250297048 1372079228 1477623784 2031732703 2321980232 2401138649 2744158456 3773217877 4063465406 4802277298 7546435754 8126930812 9604554596 15092871508 16253861624 19209109192 26412525139 30185743016 52825050278 105650100556 211300201112