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210110220100001 = 13382117317244261
BaseRepresentation
bin101111110001100000011001…
…000010000110000110100001
31000112221100012111102112012202
4233301200121002012012201
5210014421212321200001
62022511145205502545
762153651060243414
oct5761403102060641
91015840174375182
10210110220100001
1160a47275758901
121b694927711a55
1390314023b8390
1439c556326bb7b
1519456b05a496b
hexbf18190861a1

210110220100001 has 16 divisors (see below), whose sum is σ = 226345759440528. Its totient is φ = 193885146374400.

The previous prime is 210110220099977. The next prime is 210110220100031. The reversal of 210110220100001 is 100001022011012.

It can be written as a sum of positive squares in 8 ways, for example, as 65243744569600 + 144866475530401 = 8077360^2 + 12036049^2 .

It is a de Polignac number, because none of the positive numbers 2k-210110220100001 is a prime.

It is not an unprimeable number, because it can be changed into a prime (210110220100031) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 860065211 + ... + 860309471.

It is an arithmetic number, because the mean of its divisors is an integer number (14146609965033).

Almost surely, 2210110220100001 is an apocalyptic number.

It is an amenable number.

210110220100001 is a deficient number, since it is larger than the sum of its proper divisors (16235539340527).

210110220100001 is a wasteful number, since it uses less digits than its factorization.

210110220100001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265412.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 210110220100001 its reverse (100001022011012), we get a palindrome (310111242111013).

The spelling of 210110220100001 in words is "two hundred ten trillion, one hundred ten billion, two hundred twenty million, one hundred thousand, one".

Divisors: 1 13 3821 17317 49673 225121 244261 3175393 66168257 860187341 933321281 4229867737 12133176653 54988280581 16162324623077 210110220100001