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201301111110 = 2351117166321577
BaseRepresentation
bin1011101101111001111…
…0110011000101000110
3201020121000112222101210
42323132132303011012
511244231041023420
6232250525232250
720354300132601
oct2733636630506
9636530488353
10201301111110
117840a258240
123301b402686
1315ca0a55ac8
149a58c11338
1553827d39e0
hex2ede7b3146

201301111110 has 128 divisors (see below), whose sum is σ = 558406877184. Its totient is φ = 45899919360.

The previous prime is 201301111103. The next prime is 201301111117. The reversal of 201301111110 is 11111103102.

201301111110 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (201301111103) and next prime (201301111117).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201301111117) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9318642 + ... + 9340218.

It is an arithmetic number, because the mean of its divisors is an integer number (4362553728).

Almost surely, 2201301111110 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201301111110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279203438592).

201301111110 is an abundant number, since it is smaller than the sum of its proper divisors (357105766074).

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

201301111110 is a wasteful number, since it uses less digits than its factorization.

201301111110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23278.

The product of its (nonzero) digits is 6, while the sum is 12.

Adding to 201301111110 its reverse (11111103102), we get a palindrome (212412214212).

The spelling of 201301111110 in words is "two hundred one billion, three hundred one million, one hundred eleven thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 11 15 17 22 30 33 34 51 55 66 85 102 110 165 170 187 255 330 374 510 561 935 1122 1663 1870 2805 3326 4989 5610 8315 9978 16630 18293 21577 24945 28271 36586 43154 49890 54879 56542 64731 84813 91465 107885 109758 129462 141355 169626 182930 215770 237347 274395 282710 310981 323655 366809 424065 474694 548790 621962 647310 712041 733618 848130 932943 1100427 1186735 1424082 1554905 1834045 1865886 2200854 2373470 3109810 3560205 3668090 4034899 4664715 5502135 7120410 8069798 9329430 11004270 12104697 20174495 24209394 35882551 40348990 60523485 71765102 107647653 121046970 179412755 215295306 358825510 394708061 538238265 610003367 789416122 1076476530 1184124183 1220006734 1830010101 1973540305 2368248366 3050016835 3660020202 3947080610 5920620915 6100033670 6710037037 9150050505 11841241830 13420074074 18300101010 20130111111 33550185185 40260222222 67100370370 100650555555 201301111110