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21121102002212 = 22171574334568989
BaseRepresentation
bin1001100110101101000111…
…10010000011100000100100
32202210011020220200001110222
410303112203302003200210
510232022004103032322
6112530522244503512
74306643411555522
oct463264362034044
982704226601428
1021121102002212
1168034554aa683
1224514b23aab98
13ba2932b68a44
145303a410b312
1526961d1d1e42
hex1335a3c83824

21121102002212 has 48 divisors (see below), whose sum is σ = 39476402567280. Its totient is φ = 9853223657472.

The previous prime is 21121102002199. The next prime is 21121102002257. The reversal of 21121102002212 is 21220020112112.

It can be written as a sum of positive squares in 8 ways, for example, as 34123695076 + 21086978307136 = 184726^2 + 4592056^2 .

It is a super-2 number, since 2×211211020022122 (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

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, 2338214 + ... + 6907202.

It is an arithmetic number, because the mean of its divisors is an integer number (822425053485).

Almost surely, 221121102002212 is an apocalyptic number.

It is an amenable number.

21121102002212 is a deficient number, since it is larger than the sum of its proper divisors (18355300565068).

21121102002212 is a wasteful number, since it uses less digits than its factorization.

21121102002212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4569600 (or 4569598 counting only the distinct ones).

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

Adding to 21121102002212 its reverse (21220020112112), we get a palindrome (42341122114324).

The spelling of 21121102002212 in words is "twenty-one trillion, one hundred twenty-one billion, one hundred two million, two thousand, two hundred twelve".

Divisors: 1 2 4 17 34 68 157 314 433 628 866 1732 2669 5338 7361 10676 14722 29444 67981 135962 271924 1155677 2311354 4568989 4622708 9137978 18275956 77672813 155345626 310691252 717331273 1434662546 1978372237 2869325092 3956744474 7913488948 12194631641 24389263282 33632328029 48778526564 67264656058 134529312116 310604441209 621208882418 1242417764836 5280275500553 10560551001106 21121102002212