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210211022200221 = 347252963220509
BaseRepresentation
bin101111110010111110010001…
…010011100101110110011101
31000120021222101120100210010000
4233302332101103211312131
5210023044133140401341
62023025335504404513
762164150044043500
oct5762762123456635
91016258346323100
10210211022200221
1160a85aa2929749
121b6b037a016739
13903aa78134923
1439ca3a6a43137
15194810ee2d8b6
hexbf2f914e5d9d

210211022200221 has 30 divisors (see below), whose sum is σ = 365287331857470. Its totient is φ = 120120584112144.

The previous prime is 210211022200219. The next prime is 210211022200243. The reversal of 210211022200221 is 122002220112012.

It is a happy number.

210211022200221 is a `hidden beast` number, since 2 + 10 + 211 + 0 + 2 + 220 + 0 + 221 = 666.

It can be written as a sum of positive squares in only one way, i.e., 202098608067321 + 8112414132900 = 14216139^2 + 2848230^2 .

It is not a de Polignac number, because 210211022200221 - 21 = 210211022200219 is a prime.

It is a super-2 number, since 2×2102110222002212 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 210211022200194 and 210211022200203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210211022200261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 26481606286 + ... + 26481614223.

It is an arithmetic number, because the mean of its divisors is an integer number (12176244395249).

Almost surely, 2210211022200221 is an apocalyptic number.

210211022200221 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

210211022200221 is a deficient number, since it is larger than the sum of its proper divisors (155076309657249).

210211022200221 is an equidigital number, since it uses as much as digits as its factorization.

210211022200221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52963220535 (or 52963220519 counting only the distinct ones).

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

Adding to 210211022200221 its reverse (122002220112012), we get a palindrome (332213242312233).

The spelling of 210211022200221 in words is "two hundred ten trillion, two hundred eleven billion, twenty-two million, two hundred thousand, two hundred twenty-one".

Divisors: 1 3 7 9 21 27 49 63 81 147 189 441 567 1323 3969 52963220509 158889661527 370742543563 476668984581 1112227630689 1430006953743 2595197804941 3336682892067 4290020861229 7785593414823 10010048676201 23356780244469 30030146028603 70070340733407 210211022200221