Search a number
-
+
10000106055099 = 331973991928703
BaseRepresentation
bin1001000110000101010011…
…0001001110010110111011
31022102000000120210102002000
42101201110301032112323
52302320204122230344
633133552454112043
72051324643655656
oct221412461162673
938360016712060
1010000106055099
113206026190866
12115610734b623
1357701010c114
1426801725889d
151251d43e1a69
hex91854c4e5bb

10000106055099 has 64 divisors (see below), whose sum is σ = 15633346560000. Its totient is φ = 6300227228832.

The previous prime is 10000106055097. The next prime is 10000106055103. The reversal of 10000106055099 is 99055060100001.

10000106055099 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 0 + 10 + 6 + 0 + 550 + 99 = 666.

It is not a de Polignac number, because 10000106055099 - 21 = 10000106055097 is a prime.

It is a super-2 number, since 2×100001060550992 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10000106055097) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 348384982 + ... + 348413684.

It is an arithmetic number, because the mean of its divisors is an integer number (244271040000).

Almost surely, 210000106055099 is an apocalyptic number.

10000106055099 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

10000106055099 is a deficient number, since it is larger than the sum of its proper divisors (5633240504901).

10000106055099 is a wasteful number, since it uses less digits than its factorization.

10000106055099 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30389 (or 30383 counting only the distinct ones).

The product of its (nonzero) digits is 12150, while the sum is 36.

The spelling of 10000106055099 in words is "ten trillion, one hundred six million, fifty-five thousand, ninety-nine".

Divisors: 1 3 9 19 27 57 171 513 739 919 2217 2757 6651 8271 14041 17461 19953 24813 28703 42123 52383 86109 126369 157149 258327 379107 471447 545357 679141 774981 1636071 2037423 4908213 6112269 12903679 14724639 18336807 21211517 26378057 38711037 63634551 79134171 116133111 190903653 237402513 348399333 403018823 501183083 572710959 712207539 1209056469 1503549249 3627169407 4510647747 10881508221 13531943241 19493384123 58480152369 175440457107 370374298337 526321371321 1111122895011 3333368685033 10000106055099