Search a number
-
+
212201022211011 = 3210110691783122477
BaseRepresentation
bin110000001111111011100110…
…100011001100001111000011
31000211100012221002110112202100
4300033323212203030033003
5210303200143141223021
62031151445343121443
762461006102043211
oct6017734643141703
91024305832415670
10212201022211011
1161682a47a72639
121b971b90ba3283
1391536169b3702
143a58827373cb1
15197ec80051626
hexc0fee68cc3c3

212201022211011 has 48 divisors (see below), whose sum is σ = 310013236952640. Its totient is φ = 139856030265600.

The previous prime is 212201022210973. The next prime is 212201022211051. The reversal of 212201022211011 is 110112220102212.

212201022211011 is a `hidden beast` number, since 21 + 220 + 102 + 221 + 101 + 1 = 666.

It is a de Polignac number, because none of the positive numbers 2k-212201022211011 is a prime.

It is not an unprimeable number, because it can be changed into a prime (212201022211051) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1732517305 + ... + 1732639781.

It is an arithmetic number, because the mean of its divisors is an integer number (6458609103180).

Almost surely, 2212201022211011 is an apocalyptic number.

212201022211011 is a deficient number, since it is larger than the sum of its proper divisors (97812214741629).

212201022211011 is a wasteful number, since it uses less digits than its factorization.

212201022211011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125436 (or 125433 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 212201022211011 its reverse (110112220102212), we get a palindrome (322313242313223).

The spelling of 212201022211011 in words is "two hundred twelve trillion, two hundred one billion, twenty-two million, two hundred eleven thousand, eleven".

Divisors: 1 3 9 101 303 909 1069 1783 3207 5349 9621 16047 107969 122477 180083 323907 367431 540249 971721 1102293 1620747 1906027 5718081 12370177 17154243 37110531 111331593 130927913 192508727 218376491 392783739 577526181 655129473 1178351217 1732578543 1965388419 13223719213 22056025591 39671157639 66168076773 119013472917 198504230319 233444468879 700333406637 2101000219911 23577891356779 70733674070337 212201022211011