Search a number
-
+
22203132132321 = 337615189371141
BaseRepresentation
bin1010000110001100100011…
…10011011011101111100001
32220121121011110020211221000
411003012101303123233201
510402234003311213241
6115115551133422213
74451060212121040
oct503062163335741
986547143224830
1022203132132321
117090328288428
1225a714803a969
13c50991a329ba
1456a8ccb8c557
1528784b27beb6
hex143191cdbbe1

22203132132321 has 64 divisors (see below), whose sum is σ = 38216343283200. Its totient is φ = 12477073593600.

The previous prime is 22203132132301. The next prime is 22203132132329. The reversal of 22203132132321 is 12323123130222.

22203132132321 is a `hidden beast` number, since 2 + 2 + 2 + 0 + 313 + 2 + 1 + 323 + 21 = 666.

It is not a de Polignac number, because 22203132132321 - 211 = 22203132130273 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (22203132132329) 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, 59638411 + ... + 60009551.

It is an arithmetic number, because the mean of its divisors is an integer number (597130363800).

Almost surely, 222203132132321 is an apocalyptic number.

22203132132321 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

22203132132321 is a deficient number, since it is larger than the sum of its proper divisors (16013211150879).

22203132132321 is a wasteful number, since it uses less digits than its factorization.

22203132132321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376407 (or 376401 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 22203132132321 its reverse (12323123130222), we get a palindrome (34526255262543).

The spelling of 22203132132321 in words is "twenty-two trillion, two hundred three billion, one hundred thirty-two million, one hundred thirty-two thousand, three hundred twenty-one".

Divisors: 1 3 7 9 21 27 61 63 183 189 427 549 1281 1647 3843 5189 11529 15567 36323 46701 108969 140103 316529 326907 371141 949587 980721 1113423 2215703 2597987 2848761 3340269 6647109 7793961 8546283 10020807 19941327 22639601 23381883 59823981 67918803 70145649 158477207 203756409 475431621 611269227 1426294863 1925850649 4278884589 5777551947 13480954543 17332655841 40442863629 51997967523 117476889589 121328590887 352430668767 363985772661 822338227123 1057292006301 2467014681369 3171876018903 7401044044107 22203132132321