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210144440012211 = 32191898911359959
BaseRepresentation
bin101111110010000000010000…
…101100101100110110110011
31000120001121112100020011212200
4233302000100230230312303
5210021001303120342321
62022535004545154243
762156302060555335
oct5762002054546663
91016047470204780
10210144440012211
1160a5a835a29391
121b69b49792b983
1390346c6b0b643
1439c708bd13455
1519465148e2d26
hexbf2010b2cdb3

210144440012211 has 24 divisors (see below), whose sum is σ = 305134812702720. Its totient is φ = 139361152066800.

The previous prime is 210144440012057. The next prime is 210144440012279. The reversal of 210144440012211 is 112210044441012.

210144440012211 is a `hidden beast` number, since 2 + 1 + 0 + 1 + 4 + 4 + 440 + 0 + 1 + 2 + 211 = 666.

It is not a de Polignac number, because 210144440012211 - 211 = 210144440010163 is a prime.

It is not an unprimeable number, because it can be changed into a prime (210144440012011) 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 23 ways as a sum of consecutive naturals, for example, 153842650 + ... + 155202608.

It is an arithmetic number, because the mean of its divisors is an integer number (12713950529280).

Almost surely, 2210144440012211 is an apocalyptic number.

210144440012211 is a deficient number, since it is larger than the sum of its proper divisors (94990372690509).

210144440012211 is a wasteful number, since it uses less digits than its factorization.

210144440012211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1450047 (or 1450044 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

Adding to 210144440012211 its reverse (112210044441012), we get a palindrome (322354484453223).

The spelling of 210144440012211 in words is "two hundred ten trillion, one hundred forty-four billion, four hundred forty million, twelve thousand, two hundred eleven".

Divisors: 1 3 9 191 573 1719 89891 269673 809019 1359959 4079877 12239631 17169181 51507543 154522629 259752169 779256507 2337769521 122248074469 366744223407 1100232670221 23349382223579 70048146670737 210144440012211