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200351661113142 = 232711715120214497
BaseRepresentation
bin101101100011100000000001…
…100101110011111100110110
3222021101102122202001112210100
4231203200001211303330312
5202230030200221110032
61550040141003334530
760125633635414320
oct5543400145637466
9867342582045710
10200351661113142
11589247315a5580
121a5795b1b21446
1387a410803ca96
143769101d38610
151826916d6497c
hexb63801973f36

200351661113142 has 96 divisors (see below), whose sum is σ = 541285391821824. Its totient is φ = 52032112704000.

The previous prime is 200351661113063. The next prime is 200351661113143. The reversal of 200351661113142 is 241311166153002.

200351661113142 is a `hidden beast` number, since 2 + 0 + 0 + 3 + 5 + 1 + 6 + 611 + 1 + 31 + 4 + 2 = 666.

200351661113142 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2003516611131423 (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 200351661113097 and 200351661113106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200351661113143) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 195963 + ... + 20018534.

It is an arithmetic number, because the mean of its divisors is an integer number (5638389498144).

Almost surely, 2200351661113142 is an apocalyptic number.

200351661113142 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

200351661113142 is an abundant number, since it is smaller than the sum of its proper divisors (340933730708682).

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

200351661113142 is a wasteful number, since it uses less digits than its factorization.

200351661113142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20221674 (or 20221671 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 200351661113142 in words is "two hundred trillion, three hundred fifty-one billion, six hundred sixty-one million, one hundred thirteen thousand, one hundred forty-two".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 63 66 77 99 126 154 198 231 462 693 1386 7151 14302 21453 42906 50057 64359 78661 100114 128718 150171 157322 235983 300342 450513 471966 550627 707949 901026 1101254 1415898 1651881 3303762 4955643 9911286 20214497 40428994 60643491 121286982 141501479 181930473 222359467 283002958 363860946 424504437 444718934 667078401 849008874 1273513311 1334156802 1556516269 2001235203 2547026622 3113032538 4002470406 4669548807 9339097614 14008646421 28017292842 144553868047 289107736094 433661604141 867323208282 1011877076329 1300984812423 1590092548517 2023754152658 2601969624846 3035631228987 3180185097034 4770277645551 6071262457974 9106893686961 9540555291102 11130647839619 14310832936653 18213787373922 22261295679238 28621665873306 33391943518857 66783887037714 100175830556571 200351661113142