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200000222110101 = 371719475311836817
BaseRepresentation
bin101101011110011000101110…
…001100011010000110010101
3222020010211112100120102100110
4231132120232030122012111
5202203300423330010401
61545210500022033233
760061352643240030
oct5536305614320625
9866124470512313
10200000222110101
11587a9688427a16
121a521471878819
138779c2b2b7b8a
1437560c3320017
15181c6e88149d6
hexb5e62e31a195

200000222110101 has 128 divisors (see below), whose sum is σ = 353445491589120. Its totient is φ = 97852022341632.

The previous prime is 200000222110081. The next prime is 200000222110109. The reversal of 200000222110101 is 101011222000002.

200000222110101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 200000222110101 - 214 = 200000222093717 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200000222110109) 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, 10978045 + ... + 22814861.

It is an arithmetic number, because the mean of its divisors is an integer number (2761292903040).

Almost surely, 2200000222110101 is an apocalyptic number.

200000222110101 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

200000222110101 is a deficient number, since it is larger than the sum of its proper divisors (153445269479019).

200000222110101 is a wasteful number, since it uses less digits than its factorization.

200000222110101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11836963.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 200000222110101 its reverse (101011222000002), we get a palindrome (301011444110103).

The spelling of 200000222110101 in words is "two hundred trillion, two hundred twenty-two million, one hundred ten thousand, one hundred one".

Divisors: 1 3 7 17 19 21 47 51 53 57 119 133 141 159 323 329 357 371 399 799 893 901 969 987 1007 1113 2261 2397 2491 2679 2703 3021 5593 6251 6307 6783 7049 7473 15181 16779 17119 17437 18753 18921 21147 42347 45543 47329 51357 52311 106267 119833 127041 141987 296429 318801 331303 359499 804593 889287 993909 2413779 5632151 11836817 16896453 35510451 82857719 201225889 224899523 248573157 556330399 603677667 627351301 674698569 1408581223 1574296661 1668991197 1882053903 3823291891 3894312793 4225743669 4391459107 4722889983 9457616783 10570277581 10664972117 11469875673 11682938379 11919674719 13174377321 26763043237 28372850349 29485511147 31710832743 31994916351 35759024157 66203317481 73991943067 74654804819 80289129711 83437723033 88456533441 179694718877 198609952443 202634470223 206398578029 221975829201 223964414457 250313169099 501253689499 539084156631 560224711793 607903410669 619195734087 1257863032139 1418441291561 1503761068497 1680674135379 3508775826493 3773589096417 3921572982551 4255323874683 9523820100481 10526327479479 11764718947653 28571460301443 66666740703367 200000222110101