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200011013111331 = 323711327141946811
BaseRepresentation
bin101101011110100010110001…
…011000110011111000100011
3222020011212101101202002011200
4231132202301120303320203
5202203440023324030311
61545215442502412243
760062214234236022
oct5536426130637043
9866155341662150
10200011013111331
1158803215696954
121a523583731083
13877ac5ab272c6
1437568285488b9
15181cb2ad6d556
hexb5e8b1633e23

200011013111331 has 96 divisors (see below), whose sum is σ = 301166866990080. Its totient is φ = 127805769907200.

The previous prime is 200011013111219. The next prime is 200011013111447. The reversal of 200011013111331 is 133111310110002.

200011013111331 is a `hidden beast` number, since 20 + 0 + 0 + 1 + 1 + 0 + 1 + 311 + 1 + 331 = 666.

It is not a de Polignac number, because 200011013111331 - 235 = 199976653372963 is a prime.

It is a super-2 number, since 2×2000110131113312 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (200011013111131) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4272711916 + ... + 4272758726.

It is an arithmetic number, because the mean of its divisors is an integer number (3137154864480).

Almost surely, 2200011013111331 is an apocalyptic number.

200011013111331 is a deficient number, since it is larger than the sum of its proper divisors (101155853878749).

200011013111331 is a wasteful number, since it uses less digits than its factorization.

200011013111331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47657 (or 47654 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 200011013111331 its reverse (133111310110002), we get a palindrome (333122323221333).

The spelling of 200011013111331 in words is "two hundred trillion, eleven billion, thirteen million, one hundred eleven thousand, three hundred thirty-one".

Divisors: 1 3 9 37 111 113 271 333 339 419 813 1017 1257 2439 3771 4181 10027 12543 15503 30081 30623 37629 46509 46811 47347 90243 91869 113549 139527 140433 142041 275607 340647 421299 426123 1021941 1133051 1732007 1751839 3399153 4201313 5196021 5255517 5289643 10197459 12603939 12685781 12831037 15588063 15766551 15868929 19613809 37811817 38057343 38493111 47606787 58841427 114172029 115479333 176524281 195716791 469373897 474748369 587150373 725710933 1408121691 1424245107 1433493253 1761451119 2177132799 2216360417 4224365073 4272735321 4300479759 5315342239 6531398397 6649081251 12901439277 15946026717 19947243753 47838080151 53039250361 82005335429 159117751083 196667662843 246016006287 477353253249 590002988529 600633673007 738048018861 1770008965587 1801901019021 5405703057063 22223445901259 66670337703777 200011013111331