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11310210022113 = 3217223377097207
BaseRepresentation
bin1010010010010101110100…
…0011001111101011100001
31111001020121222112120100200
42210211131003033223201
52440301302231201423
640015501100535413
72245064355646212
oct244453503175341
944036558476320
1011310210022113
1136706a6778a12
121327bb2551569
136407185c6062
142b15ba6ab409
151493103aed43
hexa495d0cfae1

11310210022113 has 144 divisors (see below), whose sum is σ = 18627290722560. Its totient is φ = 6594363021312.

The previous prime is 11310210022087. The next prime is 11310210022127. The reversal of 11310210022113 is 31122001201311.

11310210022113 is a `hidden beast` number, since 11 + 310 + 210 + 0 + 22 + 113 = 666.

11310210022113 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11310210022113 - 25 = 11310210022081 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11310210020113) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1569333156 + ... + 1569340362.

Almost surely, 211310210022113 is an apocalyptic number.

It is an amenable number.

11310210022113 is a deficient number, since it is larger than the sum of its proper divisors (7317080700447).

11310210022113 is a wasteful number, since it uses less digits than its factorization.

11310210022113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8016 (or 7996 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 11310210022113 its reverse (31122001201311), we get a palindrome (42432211223424).

The spelling of 11310210022113 in words is "eleven trillion, three hundred ten billion, two hundred ten million, twenty-two thousand, one hundred thirteen".

Divisors: 1 3 9 17 23 37 51 69 111 153 207 289 333 391 629 709 851 867 1173 1887 2127 2553 2601 3519 5661 6381 6647 7207 7659 10693 12053 14467 16307 19941 21621 26233 32079 36159 43401 48921 59823 64863 78699 96237 108477 122519 130203 146763 165761 204901 236097 245939 266659 277219 367557 445961 497283 603359 614703 737817 799977 831657 1102671 1337883 1491849 1810077 1844109 2082823 2213451 2399931 2494971 2817937 4013649 4533203 4712723 5109763 5430231 6133157 6248469 7581337 8453811 10257103 13599609 14138169 15329289 18399471 18745407 22744011 25361433 30771309 40798827 42414507 45987867 47904929 55198413 68232033 77064451 86865971 92313927 104263669 117524549 143714787 174370751 189061231 231193353 260597913 312791007 352573647 431144361 523112253 567183693 693580059 781793739 938373021 1057720941 1476721507 1569336759 1701551079 1772482373 1997917333 3214040927 4348408313 4430164521 5317447119 5993751999 9642122781 13045224939 13290493563 15952341357 17981255997 28926368343 33964594661 39135674817 54638695759 73922941321 101893783983 163916087277 221768823963 305681351949 491748261831 665306471889 1256690002457 3770070007371 11310210022113