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11205100244214 = 23215312389170197
BaseRepresentation
bin1010001100001110010000…
…0001010000110011110110
31110200012022200221121120200
42203003210001100303312
52432041021130303324
635455315121341330
72234353554405102
oct243034401206366
943605280847520
1011205100244214
113630068a76078
12130b759497846
1363383729c7c6
142aa488b70902
1514670c786ec9
hexa30e4050cf6

11205100244214 has 48 divisors (see below), whose sum is σ = 24303886348560. Its totient is φ = 3731009480640.

The previous prime is 11205100244213. The next prime is 11205100244249. The reversal of 11205100244214 is 41244200150211.

11205100244214 is a `hidden beast` number, since 1 + 1 + 205 + 1 + 0 + 0 + 2 + 442 + 14 = 666.

It is a super-3 number, since 3×112051002442143 (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11205100244213) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 65750964 + ... + 65921160.

It is an arithmetic number, because the mean of its divisors is an integer number (506330965595).

Almost surely, 211205100244214 is an apocalyptic number.

11205100244214 is an abundant number, since it is smaller than the sum of its proper divisors (13098786104346).

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

11205100244214 is a wasteful number, since it uses less digits than its factorization.

11205100244214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174125 (or 174122 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

Adding to 11205100244214 its reverse (41244200150211), we get a palindrome (52449300394425).

The spelling of 11205100244214 in words is "eleven trillion, two hundred five billion, one hundred million, two hundred forty-four thousand, two hundred fourteen".

Divisors: 1 2 3 6 9 18 1531 2389 3062 4593 4778 7167 9186 13779 14334 21501 27558 43002 170197 340394 510591 1021182 1531773 3063546 3657559 7315118 10972677 21945354 32918031 65836062 260571607 406600633 521143214 781714821 813201266 1219801899 1563429642 2345144463 2439603798 3659405697 4690288926 7318811394 622505569123 1245011138246 1867516707369 3735033414738 5602550122107 11205100244214