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242452311101 = 721113172035379
BaseRepresentation
bin1110000111001101001…
…0001010110000111101
3212011210220210112101222
43201303102022300331
512433020242423401
6303214150243125
723342123432600
oct3416322126075
9764726715358
10242452311101
1193907010930
123aba49564a5
1319b2b4746a0
14ba40248337
1564903b6c1b
hex387348ac3d

242452311101 has 48 divisors (see below), whose sum is σ = 350834379840. Its totient is φ = 164132881920.

The previous prime is 242452311089. The next prime is 242452311103. The reversal of 242452311101 is 101113254242.

It is a happy number.

242452311101 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 242452311101 - 218 = 242452048957 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242452311103) 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 47 ways as a sum of consecutive naturals, for example, 898571 + ... + 1136808.

It is an arithmetic number, because the mean of its divisors is an integer number (7309049580).

Almost surely, 2242452311101 is an apocalyptic number.

It is an amenable number.

242452311101 is a deficient number, since it is larger than the sum of its proper divisors (108382068739).

242452311101 is a wasteful number, since it uses less digits than its factorization.

242452311101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2035434 (or 2035427 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

Adding to 242452311101 its reverse (101113254242), we get a palindrome (343565565343).

The spelling of 242452311101 in words is "two hundred forty-two billion, four hundred fifty-two million, three hundred eleven thousand, one hundred one".

Divisors: 1 7 11 13 17 49 77 91 119 143 187 221 539 637 833 1001 1309 1547 2431 7007 9163 10829 17017 119119 2035379 14247653 22389169 26459927 34601443 99733571 156724183 185219489 242210101 291059197 380615873 449818759 1097069281 1296536423 1695470707 2037414379 2664311111 3148731313 4948006349 14261900653 18650177777 22041119191 34636044443 242452311101