Search a number
-
+
201011111012010 = 23513799676746863
BaseRepresentation
bin101101101101000110001011…
…110111100010011010101010
3222100201110210221101101010210
4231231012023313202122222
5202321331223404341020
61551303121331321550
760224400501154545
oct5555061367423252
9870643727341123
10201011111012010
11590593738a9aa2
121a6653724502b6
13882136047cc30
14378cdbd99785c
151838b60ec23e0
hexb6d18bde26aa

201011111012010 has 128 divisors (see below), whose sum is σ = 526656965345280. Its totient is φ = 48802805565696.

The previous prime is 201011111011967. The next prime is 201011111012029. The reversal of 201011111012010 is 10210111110102.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26419839 + ... + 33166701.

It is an arithmetic number, because the mean of its divisors is an integer number (4114507541760).

Almost surely, 2201011111012010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201011111012010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263328482672640).

201011111012010 is an abundant number, since it is smaller than the sum of its proper divisors (325645854333270).

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

201011111012010 is a wasteful number, since it uses less digits than its factorization.

201011111012010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6747932.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 201011111012010 its reverse (10210111110102), we get a palindrome (211221222122112).

The spelling of 201011111012010 in words is "two hundred one trillion, eleven billion, one hundred eleven million, twelve thousand, ten".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 79 130 158 195 237 390 395 474 790 967 1027 1185 1934 2054 2370 2901 3081 4835 5135 5802 6162 9670 10270 12571 14505 15405 25142 29010 30810 37713 62855 75426 76393 125710 152786 188565 229179 377130 381965 458358 763930 993109 1145895 1986218 2291790 2979327 4965545 5958654 6746863 9931090 13493726 14896635 20240589 29793270 33734315 40481178 67468630 87709219 101202945 175418438 202405890 263127657 438546095 526255314 533002177 877092190 1066004354 1315638285 1599006531 2631276570 2665010885 3198013062 5330021770 6524216521 6929028301 7995032655 13048433042 13858056602 15990065310 19572649563 20787084903 32621082605 34645141505 39145299126 41574169806 65242165210 69290283010 84814814773 97863247815 103935424515 169629629546 195726495630 207870849030 254444444319 424074073865 508888888638 515413105159 848148147730 1030826210318 1272222221595 1546239315477 2544444443190 2577065525795 3092478630954 5154131051590 6700370367067 7731196577385 13400740734134 15462393154770 20101111101201 33501851835335 40202222202402 67003703670670 100505555506005 201011111012010