Search a number
-
+
201013101330330 = 23529476263784919
BaseRepresentation
bin101101101101001000000010…
…011111111111111110011010
3222100201122221122112000121010
4231231020002133333332122
5202321344312420032310
61551304051030554350
760224501016454062
oct5555100237777632
9870648848460533
10201013101330330
115905a1a5333673
121a665828b089b6
1388215b9917593
14378d12c0523a2
151838c2aac1320
hexb6d2027fff9a

201013101330330 has 128 divisors (see below), whose sum is σ = 509767487078400. Its totient is φ = 50645772740864.

The previous prime is 201013101330323. The next prime is 201013101330361. The reversal of 201013101330330 is 33033101310102.

It is a junction number, because it is equal to n+sod(n) for n = 201013101330297 and 201013101330306.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 255701611 + ... + 256486529.

It is an arithmetic number, because the mean of its divisors is an integer number (3982558492800).

Almost surely, 2201013101330330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201013101330330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254883743539200).

201013101330330 is an abundant number, since it is smaller than the sum of its proper divisors (308754385748070).

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

201013101330330 is a wasteful number, since it uses less digits than its factorization.

201013101330330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 791268.

The product of its (nonzero) digits is 486, while the sum is 21.

Adding to 201013101330330 its reverse (33033101310102), we get a palindrome (234046202640432).

The spelling of 201013101330330 in words is "two hundred one trillion, thirteen billion, one hundred one million, three hundred thirty thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 15 29 30 47 58 87 94 141 145 174 235 282 290 435 470 705 870 1363 1410 2726 4089 6263 6815 8178 12526 13630 18789 20445 31315 37578 40890 62630 93945 181627 187890 294361 363254 544881 588722 784919 883083 908135 1089762 1471805 1569838 1766166 1816270 2354757 2724405 2943610 3924595 4415415 4709514 5448810 7849190 8536469 8830830 11773785 17072938 22762651 23547570 25609407 36891193 42682345 45525302 51218814 68287953 73782386 85364690 110673579 113813255 128047035 136575906 184455965 221347158 227626510 256094070 341439765 368911930 553367895 682879530 1069844597 1106735790 2139689194 3209533791 4915947697 5349222985 6419067582 9831895394 10698445970 14747843091 16047668955 24579738485 29495686182 32095337910 49159476970 73739215455 142562483213 147478430910 231049541759 285124966426 427687449639 462099083518 693148625277 712812416065 855374899278 1155247708795 1386297250554 1425624832130 2138437248195 2310495417590 3465743126385 4276874496390 6700436711011 6931486252770 13400873422022 20101310133033 33502183555055 40202620266066 67004367110110 100506550665165 201013101330330