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201134612105020 = 2251110124413708301
BaseRepresentation
bin101101101110111001001101…
…000110110100011100111100
3222101011021120221110221100201
4231232321031012310130330
5202330342141144330040
61551435544252333244
760236332122141316
oct5556711506643474
9871137527427321
10201134612105020
11590a6789a68110
121a68529a774224
13882cbb2ac7269
143794d77ca47b6
15183be8d4eda9a
hexb6ee4d1b473c

201134612105020 has 96 divisors (see below), whose sum is σ = 465534062465472. Its totient is φ = 72386016000000.

The previous prime is 201134612104999. The next prime is 201134612105051. The reversal of 201134612105020 is 20501216431102.

It is a self number, because there is not a number n which added to its sum of digits gives 201134612105020.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52384870 + ... + 56093170.

It is an arithmetic number, because the mean of its divisors is an integer number (4849313150682).

Almost surely, 2201134612105020 is an apocalyptic number.

201134612105020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201134612105020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232767031232736).

201134612105020 is an abundant number, since it is smaller than the sum of its proper divisors (264399450360452).

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

201134612105020 is a wasteful number, since it uses less digits than its factorization.

201134612105020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3710863 (or 3710861 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

Adding to 201134612105020 its reverse (20501216431102), we get a palindrome (221635828536122).

The spelling of 201134612105020 in words is "two hundred one trillion, one hundred thirty-four billion, six hundred twelve million, one hundred five thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 101 110 202 220 404 505 1010 1111 2020 2222 2441 4444 4882 5555 9764 11110 12205 22220 24410 26851 48820 53702 107404 134255 246541 268510 493082 537020 986164 1232705 2465410 2711951 3708301 4930820 5423902 7416602 10847804 13559755 14833204 18541505 27119510 37083010 40791311 54239020 74166020 81582622 163165244 203956555 374538401 407913110 749076802 815826220 1498153604 1872692005 3745384010 4119922411 7490768020 8239844822 9051962741 16479689644 18103925482 20599612055 36207850964 41199224110 45259813705 82398448220 90519627410 99571590151 181039254820 199143180302 398286360604 497857950755 914248236841 995715901510 1828496473682 1991431803020 3656992947364 4571241184205 9142482368410 10056730605251 18284964736820 20113461210502 40226922421004 50283653026255 100567306052510 201134612105020