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210022221221001 = 3372719417797843
BaseRepresentation
bin101111110000001110011011…
…111001000000110010001001
31000112121221001201000022001000
4233300032123321000302021
5210012001002113033001
62022402513152245213
762144414300151030
oct5760163371006211
91015557051008030
10210022221221001
1160a12a1867a622
121b67b868b40809
13902601a043787
1439c11b603b717
15194325ec5ca86
hexbf039be40c89

210022221221001 has 64 divisors (see below), whose sum is σ = 355812758732800. Its totient is φ = 119938612232448.

The previous prime is 210022221220979. The next prime is 210022221221003. The reversal of 210022221221001 is 100122122220012.

It is a happy number.

210022221221001 is a `hidden beast` number, since 21 + 0 + 0 + 222 + 212 + 210 + 0 + 1 = 666.

It is not a de Polignac number, because 210022221221001 - 213 = 210022221212809 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (210022221221003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2146473786 + ... + 2146571628.

It is an arithmetic number, because the mean of its divisors is an integer number (5559574355200).

Almost surely, 2210022221221001 is an apocalyptic number.

210022221221001 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

210022221221001 is a deficient number, since it is larger than the sum of its proper divisors (145790537511799).

210022221221001 is a wasteful number, since it uses less digits than its factorization.

210022221221001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104755 (or 104749 counting only the distinct ones).

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

Adding to 210022221221001 its reverse (100122122220012), we get a palindrome (310144343441013).

The spelling of 210022221221001 in words is "two hundred ten trillion, twenty-two billion, two hundred twenty-one million, two hundred twenty-one thousand, one".

Divisors: 1 3 7 9 21 27 63 189 2719 4177 8157 12531 19033 24471 29239 37593 57099 73413 87717 97843 112779 171297 263151 293529 513891 684901 789453 880587 2054703 2641761 6164109 11357263 18492327 34071789 79500841 102215367 238502523 266035117 306646101 408690211 715507569 798105351 1226070633 1862245819 2146522707 2394316053 2860831477 3678211899 5586737457 7182948159 8582494431 11034635697 16760212371 25747483293 50280637113 77242449879 1111228683709 3333686051127 7778600785963 10001058153381 23335802357889 30003174460143 70007407073667 210022221221001