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221011000101 = 322937131174703
BaseRepresentation
bin1100110111010101001…
…0000011101100100101
3210010110122012002011100
43031311102003230211
512110112304000401
6245310412430313
721652600335033
oct3156522035445
9703418162140
10221011000101
1185803a475a1
1236a00178399
1317ac22b5b08
14a9a8779553
155b37d45b86
hex3375483b25

221011000101 has 48 divisors (see below), whose sum is σ = 341762952960. Its totient is φ = 137357700480.

The previous prime is 221011000073. The next prime is 221011000121. The reversal of 221011000101 is 101000110122.

It is a happy number.

221011000101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 221011000101 - 211 = 221010998053 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221011000121) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1177716 + ... + 1352418.

It is an arithmetic number, because the mean of its divisors is an integer number (7120061520).

Almost surely, 2221011000101 is an apocalyptic number.

It is an amenable number.

221011000101 is a deficient number, since it is larger than the sum of its proper divisors (120751952859).

221011000101 is a wasteful number, since it uses less digits than its factorization.

221011000101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174906 (or 174903 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 221011000101 its reverse (101000110122), we get a palindrome (322011110223).

The spelling of 221011000101 in words is "two hundred twenty-one billion, eleven million, one hundred one", and thus it is an aban number.

Divisors: 1 3 9 29 37 87 111 131 261 333 393 1073 1179 3219 3799 4847 9657 11397 14541 34191 43623 140563 174703 421689 524109 1265067 1572327 5066387 6464011 15199161 19392033 22886093 45597483 58176099 68658279 187456319 205974837 562368957 663696697 846785441 1687106871 1991090091 2540356323 5973270273 7621068969 24556777789 73670333367 221011000101