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22100213330 = 25131572414493
BaseRepresentation
bin10100100101010001…
…100111111001010010
32010001012110011022122
4110211101213321102
5330230123311310
614052552134242
71411443466556
oct244521477122
963035404278
1022100213330
119410aa3418
124349397382
13211283b910
1410d91c9866
15895326555
hex525467e52

22100213330 has 64 divisors (see below), whose sum is σ = 43301811168. Its totient is φ = 8072663040.

The previous prime is 22100213327. The next prime is 22100213339. The reversal of 22100213330 is 3331200122.

It can be written as a sum of positive squares in 16 ways, for example, as 5356629721 + 16743583609 = 73189^2 + 129397^2 .

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 22100213299 and 22100213308.

It is not an unprimeable number, because it can be changed into a prime (22100213339) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4916564 + ... + 4921056.

Almost surely, 222100213330 is an apocalyptic number.

22100213330 is a deficient number, since it is larger than the sum of its proper divisors (21201597838).

22100213330 is a wasteful number, since it uses less digits than its factorization.

22100213330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4911.

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 22100213330 its reverse (3331200122), we get a palindrome (25431413452).

The spelling of 22100213330 in words is "twenty-two billion, one hundred million, two hundred thirteen thousand, three hundred thirty".

Divisors: 1 2 5 10 13 26 65 130 157 241 314 482 785 1205 1570 2041 2410 3133 4082 4493 6266 8986 10205 15665 20410 22465 31330 37837 44930 58409 75674 116818 189185 292045 378370 491881 584090 705401 983762 1082813 1410802 2165626 2459405 3527005 4918810 5414065 7054010 9170213 10828130 14076569 18340426 28153138 45851065 70382845 91702130 140765690 170001641 340003282 850008205 1700016410 2210021333 4420042666 11050106665 22100213330