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210122102212010 = 251715710853725393
BaseRepresentation
bin101111110001101011011101…
…010000110000010110101010
31000112222110212120201100122022
4233301223131100300112222
5210020120031131241020
62022520432224424442
762154551400443402
oct5761533520602652
91015873776640568
10210122102212010
1160a5131291048a
121b6970a2a78122
139032576cb53a1
1439c5d6d35d802
151945b587da625
hexbf1add4305aa

210122102212010 has 64 divisors (see below), whose sum is σ = 403056448159392. Its totient is φ = 78593588576256.

The previous prime is 210122102212007. The next prime is 210122102212013. The reversal of 210122102212010 is 10212201221012.

It is an interprime number because it is at equal distance from previous prime (210122102212007) and next prime (210122102212013).

It can be written as a sum of positive squares in 16 ways, for example, as 42812249213449 + 167309852998561 = 6543107^2 + 12934831^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a self number, because there is not a number n which added to its sum of digits gives 210122102212010.

It is not an unprimeable number, because it can be changed into a prime (210122102212013) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 289303874 + ... + 290029266.

Almost surely, 2210122102212010 is an apocalyptic number.

210122102212010 is a deficient number, since it is larger than the sum of its proper divisors (192934345947382).

210122102212010 is a wasteful number, since it uses less digits than its factorization.

210122102212010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 736427.

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 210122102212010 its reverse (10212201221012), we get a palindrome (220334303433022).

The spelling of 210122102212010 in words is "two hundred ten trillion, one hundred twenty-two billion, one hundred two million, two hundred twelve thousand, ten".

Divisors: 1 2 5 10 17 34 85 157 170 314 785 1570 2669 5338 10853 13345 21706 26690 54265 108530 184501 369002 725393 922505 1450786 1703921 1845010 3407842 3626965 7253930 8519605 12331681 17039210 24663362 28966657 57933314 61658405 113886701 123316810 144833285 227773402 289666570 569433505 1138867010 1936073917 3872147834 7872690229 9680369585 15745380458 19360739170 39363451145 78726902290 133835733893 267671467786 669178669465 1236012365953 1338357338930 2472024731906 6180061829765 12360123659530 21012210221201 42024420442402 105061051106005 210122102212010