Search a number
-
+
11122022022201 = 335317373960793
BaseRepresentation
bin1010000111011000110000…
…1010111111110000111001
31110101020212211121122211000
42201312030022333300321
52424210400114202301
635353215242555213
72225353034231226
oct241661412776071
943336784548730
1011122022022201
1135a8906532262
1212b7632808b09
13628a574c645c
142a644726a94d
15144498e22786
hexa1d8c2bfc39

11122022022201 has 64 divisors (see below), whose sum is σ = 16908124550400. Its totient is φ = 7222824940032.

The previous prime is 11122022022191. The next prime is 11122022022203. The reversal of 11122022022201 is 10222022022111.

It is a happy number.

11122022022201 is a `hidden beast` number, since 1 + 1 + 1 + 220 + 220 + 2 + 220 + 1 = 666.

It is not a de Polignac number, because 11122022022201 - 213 = 11122022014009 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11122022022203) 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 63 ways as a sum of consecutive naturals, for example, 182918661 + ... + 182979453.

It is an arithmetic number, because the mean of its divisors is an integer number (264189446100).

Almost surely, 211122022022201 is an apocalyptic number.

It is an amenable number.

11122022022201 is a deficient number, since it is larger than the sum of its proper divisors (5786102528199).

11122022022201 is a wasteful number, since it uses less digits than its factorization.

11122022022201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61767 (or 61761 counting only the distinct ones).

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

Adding to 11122022022201 its reverse (10222022022111), we get a palindrome (21344044044312).

The spelling of 11122022022201 in words is "eleven trillion, one hundred twenty-two billion, twenty-two million, twenty-two thousand, two hundred one".

Divisors: 1 3 9 27 53 159 173 477 519 739 1431 1557 2217 4671 6651 9169 19953 27507 39167 60793 82521 117501 127847 182379 247563 352503 383541 547137 1057509 1150623 1641411 3222029 3451869 6775891 9666087 10517189 20327673 28998261 31551567 44926027 60983019 86994783 94654701 134778081 182949057 283964103 404334243 557411017 1213002729 1672233051 2381079431 5016699153 7143238293 7772202671 15050097459 21429714879 23316608013 64289144637 69949824039 209849472117 411926741563 1235780224689 3707340674067 11122022022201