Search a number
-
+
221202021201 = 37314736719699
BaseRepresentation
bin1100111000000010101…
…0101111101101010001
3210010221221121221211220
43032000222233231101
512111010204134301
6245341354555253
721660410104620
oct3160052575521
9703857557756
10221202021201
11858a1857577
1236a54138b29
1317b22a48255
14a9c5ca16b7
155b499c9936
hex3380aafb51

221202021201 has 64 divisors (see below), whose sum is σ = 356332339200. Its totient is φ = 119388790080.

The previous prime is 221202021199. The next prime is 221202021233. The reversal of 221202021201 is 102120202122.

221202021201 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 221202021201 - 21 = 221202021199 is a prime.

It is not an unprimeable number, because it can be changed into a prime (221202021281) 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 63 ways as a sum of consecutive naturals, for example, 11219250 + ... + 11238948.

It is an arithmetic number, because the mean of its divisors is an integer number (5567692800).

Almost surely, 2221202021201 is an apocalyptic number.

221202021201 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

221202021201 is a deficient number, since it is larger than the sum of its proper divisors (135130317999).

221202021201 is a wasteful number, since it uses less digits than its factorization.

221202021201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20154.

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 221202021201 its reverse (102120202122), we get a palindrome (323322223323).

The spelling of 221202021201 in words is "two hundred twenty-one billion, two hundred two million, twenty-one thousand, two hundred one".

Divisors: 1 3 7 21 31 47 93 141 217 329 367 651 987 1101 1457 2569 4371 7707 10199 11377 17249 19699 30597 34131 51747 59097 79639 120743 137893 238917 362229 413679 534719 610669 925853 1604157 1832007 2777559 3743033 4274683 6480971 7229533 11229099 12824049 19442913 21688599 28701443 50606731 86104329 151820193 200910101 224115523 339788051 602730303 672346569 1019364153 1568808661 2378516357 4706425983 7135549071 10533429581 31600288743 73734007067 221202021201