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211239054057 = 310918117592029
BaseRepresentation
bin1100010010111011010…
…1000010101011101001
3202012020121112210020210
43010232311002223221
511430104144212212
6241013014011333
721155462222313
oct3045665025351
9665217483223
10211239054057
1181649a36929
1234b33646b49
1316bc5925c15
14a31ca1c7b3
155764ed453c
hex312ed42ae9

211239054057 has 32 divisors (see below), whose sum is σ = 286109824000. Its totient is φ = 138615909120.

The previous prime is 211239054049. The next prime is 211239054097. The reversal of 211239054057 is 750450932112.

211239054057 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 211239054057 - 23 = 211239054049 is a prime.

It is the 459608-th Hogben number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (211239054007) by changing a digit.

It is a nontrivial repunit in base 459607.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 104108919 + ... + 104110947.

It is an arithmetic number, because the mean of its divisors is an integer number (8940932000).

Almost surely, 2211239054057 is an apocalyptic number.

It is an amenable number.

211239054057 is a deficient number, since it is larger than the sum of its proper divisors (74870769943).

211239054057 is a wasteful number, since it uses less digits than its factorization.

211239054057 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4081.

The product of its (nonzero) digits is 75600, while the sum is 39.

Adding to 211239054057 its reverse (750450932112), we get a palindrome (961689986169).

The spelling of 211239054057 in words is "two hundred eleven billion, two hundred thirty-nine million, fifty-four thousand, fifty-seven".

Divisors: 1 3 109 181 327 543 1759 2029 5277 6087 19729 59187 191731 221161 318379 367249 575193 663483 955137 1101747 3569011 10707033 34703311 40030141 104109933 120090423 389022199 645990991 1167066597 1937972973 70413018019 211239054057