Search a number
-
+
201215611107 = 3472891493823
BaseRepresentation
bin1011101101100101100…
…0101001000011100011
3201020101001200010110000
42323121120221003203
511244042144023412
6232234232511043
720352211321500
oct2733130510343
9636331603400
10201215611107
1178375a6a885
1232bb684b483
1315c8911b1a4
149a4b7164a7
15537a0454dc
hex2ed96290e3

201215611107 has 120 divisors (see below), whose sum is σ = 356050728000. Its totient is φ = 112895887104.

The previous prime is 201215611087. The next prime is 201215611117. The reversal of 201215611107 is 701116512102.

201215611107 is a `hidden beast` number, since 20 + 1 + 2 + 15 + 611 + 10 + 7 = 666.

201215611107 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 201215611107 - 218 = 201215348963 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (201215611117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 52630998 + ... + 52634820.

It is an arithmetic number, because the mean of its divisors is an integer number (2967089400).

Almost surely, 2201215611107 is an apocalyptic number.

201215611107 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

201215611107 is a deficient number, since it is larger than the sum of its proper divisors (154835116893).

201215611107 is a wasteful number, since it uses less digits than its factorization.

201215611107 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4087 (or 4071 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 27.

The spelling of 201215611107 in words is "two hundred one billion, two hundred fifteen million, six hundred eleven thousand, one hundred seven".

Divisors: 1 3 7 9 21 27 49 63 81 89 147 149 189 267 441 447 567 623 801 1043 1323 1341 1869 2403 3129 3823 3969 4023 4361 5607 7209 7301 9387 11469 12069 13083 13261 16821 21903 26761 28161 34407 39249 39783 50463 65709 80283 84483 92827 103221 117747 119349 187327 197127 240849 278481 309663 340247 353241 358047 561981 569627 591381 649789 722547 835443 1020741 1074141 1685943 1708881 1949367 2167641 2381729 2506329 3062223 3987389 5057829 5126643 5848101 7145187 7518987 9186669 11962167 15173487 15379929 16672103 17544303 21435561 27560007 27911723 35886501 46139787 50016309 50696803 52632909 64306683 83735169 107659503 150048927 152090409 192920049 251205507 322978509 354877621 450146781 456271227 753616521 1064632863 1350440343 1368813681 2260849563 2484143347 3193898589 4106441043 7452430041 9581695767 22357290123 28745087301 67071870369 201215611107