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201342130110 = 23451167333577
BaseRepresentation
bin1011101110000011101…
…1010001011110111110
3201020200212201221220000
42323200323101132332
511244322041130420
6232254552335130
720355305603532
oct2734073213676
9636625657800
10201342130110
1178430424440
12330310a44a6
1315ca93b83c4
149a6044bbc2
1553861d7690
hex2ee0ed17be

201342130110 has 160 divisors (see below), whose sum is σ = 591498765792. Its totient is φ = 48736235520.

The previous prime is 201342130063. The next prime is 201342130127. The reversal of 201342130110 is 11031243102.

201342130110 is a `hidden beast` number, since 20 + 1 + 342 + 1 + 301 + 1 + 0 = 666.

It is a super-2 number, since 2×2013421301102 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5979642 + ... + 6013218.

Almost surely, 2201342130110 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201342130110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295749382896).

201342130110 is an abundant number, since it is smaller than the sum of its proper divisors (390156635682).

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

201342130110 is a wasteful number, since it uses less digits than its factorization.

201342130110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34280 (or 34271 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 201342130110 its reverse (11031243102), we get a palindrome (212373373212).

The spelling of 201342130110 in words is "two hundred one billion, three hundred forty-two million, one hundred thirty thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 81 90 99 110 135 162 165 198 270 297 330 405 495 594 673 810 891 990 1346 1485 1782 2019 2970 3365 4038 4455 6057 6730 7403 8910 10095 12114 14806 18171 20190 22209 30285 33577 36342 37015 44418 54513 60570 66627 67154 74030 90855 100731 109026 111045 133254 167885 181710 199881 201462 222090 272565 302193 333135 335770 369347 399762 503655 545130 599643 604386 666270 738694 906579 999405 1007310 1108041 1199286 1510965 1813158 1846735 1998810 2216082 2719737 2998215 3021930 3324123 3693470 4532895 5439474 5540205 5996430 6648246 9065790 9972369 11080410 13598685 16620615 19944738 22597321 27197370 29917107 33241230 45194642 49861845 59834214 67791963 99723690 112986605 135583926 149585535 203375889 225973210 248570531 299171070 338959815 406751778 497141062 610127667 677919630 745711593 1016879445 1220255334 1242852655 1491423186 1830383001 2033758890 2237134779 2485705310 3050638335 3660766002 3728557965 4474269558 6101276670 6711404337 7457115930 9151915005 11185673895 13422808674 18303830010 20134213011 22371347790 33557021685 40268426022 67114043370 100671065055 201342130110