Search a number
-
+
201102112200210 = 235134794021267721
BaseRepresentation
bin101101101110011010111011…
…111101100001011000010010
3222101001011200222011201021120
4231232122323331201120102
5202324324111210401320
61551413011314503110
760234101545411254
oct5556327375413022
9871034628151246
10201102112200210
1159093a21685651
121a67ab2a594a96
138829b03837160
143793573831cd4
15183b1da1b7440
hexb6e6bbf61612

201102112200210 has 128 divisors (see below), whose sum is σ = 520988211394560. Its totient is φ = 49386244147200.

The previous prime is 201102112200191. The next prime is 201102112200211. The reversal of 201102112200210 is 12002211201102.

201102112200210 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 201102112200210.

It is not an unprimeable number, because it can be changed into a prime (201102112200211) 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, 751029150 + ... + 751296870.

It is an arithmetic number, because the mean of its divisors is an integer number (4070220401520).

Almost surely, 2201102112200210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201102112200210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260494105697280).

201102112200210 is an abundant number, since it is smaller than the sum of its proper divisors (319886099194350).

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

201102112200210 is a wasteful number, since it uses less digits than its factorization.

201102112200210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272244.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 201102112200210 its reverse (12002211201102), we get a palindrome (213104323401312).

The spelling of 201102112200210 in words is "two hundred one trillion, one hundred two billion, one hundred twelve million, two hundred thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 195 390 479 958 1437 2395 2874 4021 4790 6227 7185 8042 12063 12454 14370 18681 20105 24126 31135 37362 40210 52273 60315 62270 93405 104546 120630 156819 186810 261365 267721 313638 522730 535442 784095 803163 1338605 1568190 1606326 1926059 2677210 3480373 3852118 4015815 5778177 6960746 8031630 9630295 10441119 11556354 17401865 19260590 20882238 25038767 28890885 34803730 50077534 52205595 57781770 75116301 104411190 125193835 128238359 150232602 250387670 256476718 375581505 384715077 641191795 751163010 769430154 1076506141 1282383590 1667098667 1923575385 2153012282 3229518423 3334197334 3847150770 5001296001 5382530705 6459036846 8335493335 10002592002 10765061410 13994579833 16147592115 16670986670 25006480005 27989159666 32295184230 41983739499 50012960010 69972899165 83967478998 139945798330 209918697495 419837394990 515646441539 1031292883078 1546939324617 2578232207695 3093878649234 5156464415390 6703403740007 7734696623085 13406807480014 15469393246170 20110211220021 33517018700035 40220422440042 67034037400070 100551056100105 201102112200210