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201000122121123 = 331331233331239521
BaseRepresentation
bin101101101100111011111100…
…111000001111101110100011
3222100200102110002211212202000
4231230323330320033232203
5202321141222230333443
61551254103101255043
760223531255141023
oct5554737470175643
9870612402755660
10201000122121123
1159054744969696
121a663206264483
1388202cb944c30
14378c65a379a83
15183871b3c98d3
hexb6cefce0fba3

201000122121123 has 128 divisors (see below), whose sum is σ = 333455093637120. Its totient is φ = 118827979776000.

The previous prime is 201000122121091. The next prime is 201000122121163. The reversal of 201000122121123 is 321121221000102.

It is not a de Polignac number, because 201000122121123 - 25 = 201000122121091 is a prime.

It is a super-2 number, since 2×2010001221211232 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 201000122121096 and 201000122121105.

It is not an unprimeable number, because it can be changed into a prime (201000122121163) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 839055603 + ... + 839295123.

It is an arithmetic number, because the mean of its divisors is an integer number (2605117919040).

Almost surely, 2201000122121123 is an apocalyptic number.

201000122121123 is a deficient number, since it is larger than the sum of its proper divisors (132454971515997).

201000122121123 is a wasteful number, since it uses less digits than its factorization.

201000122121123 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240138 (or 240132 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 201000122121123 its reverse (321121221000102), we get a palindrome (522121343121225).

The spelling of 201000122121123 in words is "two hundred one trillion, one hundred twenty-two million, one hundred twenty-one thousand, one hundred twenty-three".

Divisors: 1 3 9 13 27 31 39 93 117 233 279 331 351 403 699 837 993 1209 2097 2979 3029 3627 4303 6291 7223 8937 9087 10261 10881 12909 21669 27261 30783 38727 65007 77123 81783 92349 93899 116181 133393 195021 231369 239521 277047 281697 400179 694107 718563 845091 1002599 1200537 2082321 2155689 2390813 2535273 3007797 3113773 3601611 6467067 7172439 7425151 9023391 9341319 21517317 22275453 27070173 28023957 31080569 55808393 64551951 66826359 79281451 84071871 93241707 96526963 167425179 200479077 237844353 279725121 289580889 502275537 713533059 725509109 839175363 868742667 1030658863 1506826611 1730060183 2140599177 2176527327 2457724981 2606228001 3091976589 5190180549 6529581981 7373174943 9275929767 15570541647 18472578083 19588745943 22119524829 22490782379 27827789301 31950424753 46711624941 55417734249 66358574487 67472347137 95851274259 166253202747 202417041411 240143515079 287553822777 498759608241 572649920573 607251124233 720430545237 862661468331 1717949761719 2161291635711 5153849285157 6483874907133 7444448967449 15461547855471 22333346902347 67000040707041 201000122121123