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21212222101002 = 23219280692209699
BaseRepresentation
bin1001101001010110110101…
…11101101001011000001010
32210002212110020012200021200
410310223122331221120022
510240020112324213002
6113040432120445030
74316350431615312
oct464533275513012
983085406180250
1021212222101002
116839064413549
1224670a2319776
13bab3c4a5806a
14534969a9a442
1526bba2a64b1c
hex134adaf6960a

21212222101002 has 48 divisors (see below), whose sum is σ = 48380497620000. Its totient is φ = 6698354774112.

The previous prime is 21212222100991. The next prime is 21212222101009. The reversal of 21212222101002 is 20010122221212.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (21212222101009) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 8494749 + ... + 10704447.

It is an arithmetic number, because the mean of its divisors is an integer number (1007927033750).

Almost surely, 221212222101002 is an apocalyptic number.

21212222101002 is an abundant number, since it is smaller than the sum of its proper divisors (27168275518998).

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

21212222101002 is a wasteful number, since it uses less digits than its factorization.

21212222101002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2237795 (or 2237792 counting only the distinct ones).

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

Adding to 21212222101002 its reverse (20010122221212), we get a palindrome (41222344322214).

It can be divided in two parts, 2121222 and 2101002, that added together give a palindrome (4222224).

The spelling of 21212222101002 in words is "twenty-one trillion, two hundred twelve billion, two hundred twenty-two million, one hundred one thousand, two".

Divisors: 1 2 3 6 9 18 19 38 57 114 171 342 28069 56138 84207 168414 252621 505242 533311 1066622 1599933 2209699 3199866 4419398 4799799 6629097 9599598 13258194 19887291 39774582 41984281 83968562 125952843 251905686 377858529 755717058 62024041231 124048082462 186072123693 372144247386 558216371079 1116432742158 1178456783389 2356913566778 3535370350167 7070740700334 10606111050501 21212222101002