Search a number
-
+
21242243452401 = 321312137535649
BaseRepresentation
bin1001101010001110110000…
…11000000000110111110001
32210012201221110200100021100
410311013120120000313301
510241013103310434101
6113102315114315013
74321462411112166
oct465073030006761
983181843610240
1021242243452401
11684a86a710164
122470a80428a69
13bb119a68770a
145361b6ca206d
1526c85d4a9e86
hex1351d8600df1

21242243452401 has 18 divisors (see below), whose sum is σ = 30919251940850. Its totient is φ = 14053392512640.

The previous prime is 21242243452357. The next prime is 21242243452421. The reversal of 21242243452401 is 10425434224212.

21242243452401 is a `hidden beast` number, since 2 + 1 + 2 + 4 + 2 + 243 + 4 + 5 + 2 + 401 = 666.

It can be written as a sum of positive squares in only one way, i.e., 20998206464400 + 244036988001 = 4582380^2 + 494001^2 .

It is not a de Polignac number, because 21242243452401 - 213 = 21242243444209 is a prime.

It is a super-4 number, since 4×212422434524014 (a number of 54 digits) contains 4444 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (21242243452421) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 68613376 + ... + 68922273.

Almost surely, 221242243452401 is an apocalyptic number.

It is an amenable number.

21242243452401 is a deficient number, since it is larger than the sum of its proper divisors (9677008488449).

21242243452401 is a wasteful number, since it uses less digits than its factorization.

21242243452401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137535917 (or 137535783 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 36.

Adding to 21242243452401 its reverse (10425434224212), we get a palindrome (31667677676613).

The spelling of 21242243452401 in words is "twenty-one trillion, two hundred forty-two billion, two hundred forty-three million, four hundred fifty-two thousand, four hundred one".

Divisors: 1 3 9 131 393 1179 17161 51483 154449 137535649 412606947 1237820841 18017170019 54051510057 162154530171 2360249272489 7080747817467 21242243452401