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222021020112102 = 2321011072928738971
BaseRepresentation
bin110010011110110101001100…
…000010010101010011100110
31002010010000001121222202011200
4302132311030002111103212
5213100043022122041402
62104111014254343330
764523326565006241
oct6236651402252346
91063100047882150
10222021020112102
1164819649860542
1220a991b24bab46
1396b6652941223
143cb7c362bc258
151aa04224c421c
hexc9ed4c0954e6

222021020112102 has 96 divisors (see below), whose sum is σ = 490377961592064. Its totient is φ = 72585116712000.

The previous prime is 222021020112043. The next prime is 222021020112127. The reversal of 222021020112102 is 201211020120222.

It is a happy number.

222021020112102 is a `hidden beast` number, since 2 + 220 + 210 + 20 + 1 + 1 + 210 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 5697063477 + ... + 5697102447.

It is an arithmetic number, because the mean of its divisors is an integer number (5108103766584).

Almost surely, 2222021020112102 is an apocalyptic number.

222021020112102 is an abundant number, since it is smaller than the sum of its proper divisors (268356941479962).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

222021020112102 is a wasteful number, since it uses less digits than its factorization.

222021020112102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68474 (or 68471 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 222021020112102 its reverse (201211020120222), we get a palindrome (423232040232324).

The spelling of 222021020112102 in words is "two hundred twenty-two trillion, twenty-one billion, twenty million, one hundred twelve thousand, one hundred two".

Divisors: 1 2 3 6 9 18 101 107 202 214 303 321 606 642 909 963 1818 1926 10807 21614 29287 32421 38971 58574 64842 77942 87861 97263 116913 175722 194526 233826 263583 350739 527166 701478 2957987 3133709 3936071 4169897 5915974 6267418 7872142 8339794 8873961 9401127 11808213 12509691 17747922 18802254 23616426 25019382 26621883 28203381 35424639 37529073 53243766 56406762 70849278 75058146 316504609 421159597 633009218 842319194 949513827 1141343677 1263478791 1899027654 2282687354 2526957582 2848541481 3424031031 3790436373 5697082962 6848062062 7580872746 10272093093 20544186186 115275711377 122123773439 230551422754 244247546878 345827134131 366371320317 691654268262 732742640634 1037481402393 1099113960951 2074962804786 2198227921902 12334501117339 24669002234678 37003503352017 74007006704034 111010510056051 222021020112102