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201221002210221 = 32721121739696323
BaseRepresentation
bin101101110000001001101010…
…010110111010101110101101
3222101110112120121200222202200
4231300021222112322232231
5202333301103031211341
61551543352520212113
760245511006002250
oct5560115226725655
9871415517628680
10201221002210221
115912a390a21874
121a699b8a60a039
13883809ca836c6
143799211599097
15183e3479b1db6
hexb7026a5babad

201221002210221 has 48 divisors (see below), whose sum is σ = 333764470740480. Its totient is φ = 114433056128160.

The previous prime is 201221002210219. The next prime is 201221002210253. The reversal of 201221002210221 is 122012200122102.

It is a happy number.

201221002210221 is a `hidden beast` number, since 2 + 0 + 1 + 221 + 0 + 0 + 221 + 0 + 221 = 666.

It is not a de Polignac number, because 201221002210221 - 21 = 201221002210219 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 201221002210194 and 201221002210203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201221002210201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 288628366 + ... + 289324688.

It is an arithmetic number, because the mean of its divisors is an integer number (6953426473760).

Almost surely, 2201221002210221 is an apocalyptic number.

201221002210221 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

201221002210221 is a deficient number, since it is larger than the sum of its proper divisors (132543468530259).

201221002210221 is a wasteful number, since it uses less digits than its factorization.

201221002210221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 718286 (or 718283 counting only the distinct ones).

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

Adding to 201221002210221 its reverse (122012200122102), we get a palindrome (323233202332323).

The spelling of 201221002210221 in words is "two hundred one trillion, two hundred twenty-one billion, two million, two hundred ten thousand, two hundred twenty-one".

Divisors: 1 3 7 9 21 63 211 633 1477 1899 4431 13293 21739 65217 152173 195651 456519 696323 1369557 2088969 4586929 4874261 6266907 13760787 14622783 32108503 41282361 43868349 96325509 146924153 288976527 440772459 1028469071 1322317377 3085407213 9256221639 15137365697 45412097091 105961559879 136236291273 317884679637 953654038911 3193984162067 9581952486201 22357889134469 28745857458603 67073667403407 201221002210221