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210212220012201 = 321125317772049589
BaseRepresentation
bin101111110010111111011000…
…101100111000011010101001
31000120022002111001020221020200
4233302333120230320122221
5210023104111310342301
62023030054413542413
762164221530216631
oct5762773054703251
91016262431227220
10210212220012201
1160a86557a80600
121b6b06531a4a09
13903ac09341204
1439ca47bb636c1
151948180185c86
hexbf2fd8b386a9

210212220012201 has 72 divisors (see below), whose sum is σ = 340241671453320. Its totient is φ = 124927143644160.

The previous prime is 210212220012143. The next prime is 210212220012247. The reversal of 210212220012201 is 102210022212012.

It is a happy number.

210212220012201 is a `hidden beast` number, since 2 + 10 + 212 + 220 + 0 + 1 + 220 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 75326759451801 + 134885460560400 = 8679099^2 + 11614020^2 .

It is not a de Polignac number, because 210212220012201 - 219 = 210212219487913 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (210212220012001) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 101538315 + ... + 103587903.

It is an arithmetic number, because the mean of its divisors is an integer number (4725578770185).

Almost surely, 2210212220012201 is an apocalyptic number.

It is an amenable number.

210212220012201 is a deficient number, since it is larger than the sum of its proper divisors (130029451441119).

210212220012201 is a wasteful number, since it uses less digits than its factorization.

210212220012201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2051447 (or 2051433 counting only the distinct ones).

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

Adding to 210212220012201 its reverse (102210022212012), we get a palindrome (312422242224213).

The spelling of 210212220012201 in words is "two hundred ten trillion, two hundred twelve billion, two hundred twenty million, twelve thousand, two hundred one".

Divisors: 1 3 9 11 33 53 99 121 159 363 477 583 1089 1749 1777 5247 5331 6413 15993 19239 19547 57717 58641 94181 175923 215017 282543 645051 847629 1035991 1935153 2049589 3107973 6148767 9323919 11395901 18446301 22545479 34187703 67636437 102563109 108628217 202909311 248000269 325884651 744000807 977653953 1194910387 2232002421 3584731161 3642119653 10754193483 10926358959 13144014257 32779076877 39432042771 40063316183 118296128313 120189948549 193032341609 360569845647 440696478013 579097024827 1322089434039 1737291074481 2123355757699 3966268302117 6370067273097 19110201819291 23356913334689 70070740004067 210212220012201