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201101222020221 = 32292101263060009
BaseRepresentation
bin101101101110011010000110…
…111001110000010001111101
3222101001002101221010212220100
4231232122012321300101331
5202324320300314121341
61551412343115111313
760234040516122315
oct5556320671602175
9871032357125810
10201101222020221
1159093605150206
121a67a920442539
1388299c129b433
1437934cb510445
15183b186e7a3b6
hexb6e686e7047d

201101222020221 has 36 divisors (see below), whose sum is σ = 303820106309460. Its totient is φ = 128162835897600.

The previous prime is 201101222020151. The next prime is 201101222020271. The reversal of 201101222020221 is 122020222101102.

It is a happy number.

201101222020221 is a `hidden beast` number, since 201 + 1 + 0 + 1 + 2 + 220 + 20 + 221 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 38293064283321 + 162808157736900 = 6188139^2 + 12759630^2 .

It is not a de Polignac number, because 201101222020221 - 225 = 201101188465789 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 201101222020194 and 201101222020203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201101222020271) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 130765536 + ... + 132294473.

It is an arithmetic number, because the mean of its divisors is an integer number (8439447397485).

Almost surely, 2201101222020221 is an apocalyptic number.

It is an amenable number.

201101222020221 is a deficient number, since it is larger than the sum of its proper divisors (102718884289239).

201101222020221 is a wasteful number, since it uses less digits than its factorization.

201101222020221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263060174 (or 263060142 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 201101222020221 its reverse (122020222101102), we get a palindrome (323121444121323).

The spelling of 201101222020221 in words is "two hundred one trillion, one hundred one billion, two hundred twenty-two million, twenty thousand, two hundred twenty-one".

Divisors: 1 3 9 29 87 101 261 303 841 909 2523 2929 7569 8787 26361 84941 254823 764469 263060009 789180027 2367540081 7628740261 22886220783 26569060909 68658662349 79707182727 221233467569 239121548181 663700402707 770502766361 1991101208121 2311508299083 6934524897249 22344580224469 67033740673407 201101222020221