Search a number
-
+
221123021140413 = 3376431819538219
BaseRepresentation
bin110010010001110000110111…
…001000000111000110111101
31001222221011011112111102202000
4302101300313020013012331
5212440334421402443123
62102142302532052513
764401416412462420
oct6221606710070675
91058834145442660
10221123021140413
116450282384a957
1220973158464139
13964ca718cc552
143c865a897b9b7
151a86db59aeb43
hexc91c372071bd

221123021140413 has 32 divisors (see below), whose sum is σ = 374970436377600. Its totient is φ = 126159501883248.

The previous prime is 221123021140403. The next prime is 221123021140471. The reversal of 221123021140413 is 314041120321122.

221123021140413 is a `hidden beast` number, since 2 + 2 + 1 + 1 + 2 + 30 + 211 + 4 + 0 + 413 = 666.

It is not a de Polignac number, because 221123021140413 - 25 = 221123021140381 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221123021140403) 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 31 ways as a sum of consecutive naturals, for example, 909647583 + ... + 909890636.

It is an arithmetic number, because the mean of its divisors is an integer number (11717826136800).

Almost surely, 2221123021140413 is an apocalyptic number.

It is an amenable number.

221123021140413 is a deficient number, since it is larger than the sum of its proper divisors (153847415237187).

221123021140413 is a wasteful number, since it uses less digits than its factorization.

221123021140413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1819538878 (or 1819538872 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 221123021140413 its reverse (314041120321122), we get a palindrome (535164141461535).

The spelling of 221123021140413 in words is "two hundred twenty-one trillion, one hundred twenty-three billion, twenty-one million, one hundred forty thousand, four hundred thirteen".

Divisors: 1 3 7 9 21 27 63 189 643 1929 4501 5787 13503 17361 40509 121527 1819538219 5458614657 12736767533 16375843971 38210302599 49127531913 114630907797 343892723391 1169963074817 3509889224451 8189741523719 10529667673353 24569224571157 31589003020059 73707673713471 221123021140413