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201102220999955 = 5112313958710091931
BaseRepresentation
bin101101101110011011000010…
…011100100011110100010011
3222101001011222112220022110202
4231232123002130203310103
5202324324322033444310
61551413030202445415
760234104336243552
oct5556330234436423
9871034875808422
10201102220999955
1159093a780374a0
121a67ab5ab0386b
138829b2023c0c2
143793584073d99
15183b1e4a093a5
hexb6e6c2723d13

201102220999955 has 128 divisors (see below), whose sum is σ = 277573240627200. Its totient is φ = 138444980889600.

The previous prime is 201102220999921. The next prime is 201102220999963. The reversal of 201102220999955 is 559999022201102.

It is a happy number.

It is not a de Polignac number, because 201102220999955 - 238 = 200827343093011 is a prime.

It is a super-2 number, since 2×2011022209999552 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 201102220999955.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 104144080340 + ... + 104144082270.

It is an arithmetic number, because the mean of its divisors is an integer number (2168540942400).

Almost surely, 2201102220999955 is an apocalyptic number.

201102220999955 is a deficient number, since it is larger than the sum of its proper divisors (76471019627245).

201102220999955 is a wasteful number, since it uses less digits than its factorization.

201102220999955 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3705.

The product of its (nonzero) digits is 2624400, while the sum is 56.

The spelling of 201102220999955 in words is "two hundred one trillion, one hundred two billion, two hundred twenty million, nine hundred ninety-nine thousand, nine hundred fifty-five".

Divisors: 1 5 11 23 55 115 139 253 587 695 1009 1265 1529 1931 2935 3197 5045 6457 7645 9655 11099 13501 15985 21241 23207 32285 35167 44413 55495 67505 81593 106205 116035 140251 148511 175835 222065 255277 268409 407965 488543 592283 701255 742555 897523 1133497 1276385 1342045 1542761 1876639 1948379 2442715 2952499 2961415 3225773 4487615 5667485 6173407 6515113 7713805 9383195 9741895 12468467 13622509 14762495 16128865 20643029 21432169 26070431 30867035 32575565 35483503 44812717 62342335 67907477 68112545 82327337 103215145 107160845 130352155 149847599 157556083 177417515 224063585 270824681 286774741 339537385 411636685 492939887 749237995 787780415 905600707 1143698473 1354123405 1433873705 1733116913 1893528751 2464699435 2979071491 3623789909 4528003535 5718492365 6228967663 8665584565 9467643755 12580683203 14895357455 18118949545 20828816261 26305064879 31144838315 39861688999 62903416015 68518644293 104144081305 131525324395 158974087747 199308444995 289355713669 342593221465 794870438735 1446778568345 1748714965217 3656404018181 8743574826085 18282020090905 40220444199991 201102220999955