Search a number
-
+
212101106210106 = 23177129287642393
BaseRepresentation
bin110000001110011110100011…
…000101111001010100111010
31000210222200000202212210121020
4300032132203011321110322
5210300031031142210411
62031033523020323310
762450541065045061
oct6016364305712472
91023880022783536
10212101106210106
1161644634a9a283
121b9567473a3536
139147082704699
143a53a6953b1d8
15197c3833aa606
hexc0e7a317953a

212101106210106 has 32 divisors (see below), whose sum is σ = 455481414511488. Its totient is φ = 65604318958080.

The previous prime is 212101106210033. The next prime is 212101106210129. The reversal of 212101106210106 is 601012601101212.

212101106210106 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14643813955 + ... + 14643828438.

It is an arithmetic number, because the mean of its divisors is an integer number (14233794203484).

Almost surely, 2212101106210106 is an apocalyptic number.

212101106210106 is an abundant number, since it is smaller than the sum of its proper divisors (243380308301382).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

212101106210106 is a wasteful number, since it uses less digits than its factorization.

212101106210106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29287642486.

The product of its (nonzero) digits is 288, while the sum is 24.

Adding to 212101106210106 its reverse (601012601101212), we get a palindrome (813113707311318).

The spelling of 212101106210106 in words is "two hundred twelve trillion, one hundred one billion, one hundred six million, two hundred ten thousand, one hundred six".

Divisors: 1 2 3 6 17 34 51 71 102 142 213 426 1207 2414 3621 7242 29287642393 58575284786 87862927179 175725854358 497889920681 995779841362 1493669762043 2079422609903 2987339524086 4158845219806 6238267829709 12476535659418 35350184368351 70700368736702 106050553105053 212101106210106