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201011201012010 = 2353110119583109279
BaseRepresentation
bin101101101101000110010001…
…001110110111000100101010
3222100201111001012201211221010
4231231012101032313010222
5202321331414424341020
61551303134304324350
760224402643150324
oct5555062116670452
9870644035654833
10201011201012010
115905940a690364
121a6653986136b6
138821376001b7c
14378cdcb904614
151838b68d4dde0
hexb6d1913b712a

201011201012010 has 128 divisors (see below), whose sum is σ = 502949908316160. Its totient is φ = 51357163104000.

The previous prime is 201011201011997. The next prime is 201011201012033. The reversal of 201011201012010 is 10210102110102.

201011201012010 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 1839376551 + ... + 1839485829.

It is an arithmetic number, because the mean of its divisors is an integer number (3929296158720).

Almost surely, 2201011201012010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201011201012010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251474954158080).

201011201012010 is an abundant number, since it is smaller than the sum of its proper divisors (301938707304150).

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

201011201012010 is a wasteful number, since it uses less digits than its factorization.

201011201012010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129004.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 201011201012010 its reverse (10210102110102), we get a palindrome (211221303122112).

The spelling of 201011201012010 in words is "two hundred one trillion, eleven billion, two hundred one million, twelve thousand, ten".

Divisors: 1 2 3 5 6 10 15 30 31 62 93 101 155 186 202 303 310 465 505 606 930 1010 1515 3030 3131 6262 9393 15655 18786 19583 31310 39166 46965 58749 93930 97915 109279 117498 195830 218558 293745 327837 546395 587490 607073 655674 1092790 1214146 1639185 1821219 1977883 3035365 3278370 3387649 3642438 3955766 5933649 6070730 6775298 9106095 9889415 10162947 11037179 11867298 16938245 18212190 19778830 20325894 22074358 29668245 33111537 33876490 50814735 55185895 59336490 61314373 66223074 101629470 110371790 122628746 165557685 183943119 306571865 331115370 342152549 367886238 613143730 684305098 919715595 1026457647 1710762745 1839431190 2052915294 2140010657 3421525490 4280021314 5132288235 6420031971 10264576470 10700053285 12840063942 21400106570 32100159855 64200319710 66340330367 132680660734 199020991101 216141076357 331701651835 398041982202 432282152714 648423229071 663403303670 995104955505 1080705381785 1296846458142 1990209911010 2161410763570 3242116145355 6484232290710 6700373367067 13400746734134 20101120101201 33501866835335 40202240202402 67003733670670 100505600506005 201011201012010