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111205245401 = 3718116605233
BaseRepresentation
bin110011110010001011…
…0010110000111011001
3101122001002021210020122
41213210112112013121
53310222020323101
6123030442203025
711014524663305
oct1474426260731
9348032253218
10111205245401
1143186509898
12196764b3475
13a643109a73
14554d2bad05
152d5cd1c51b
hex19e45961d9

111205245401 has 8 divisors (see below), whose sum is σ = 114841798344. Its totient is φ = 107601903360.

The previous prime is 111205245383. The next prime is 111205245409. The reversal of 111205245401 is 104542502111.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 3306135001 + 107899110400 = 57499^2 + 328480^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 111205245401 - 214 = 111205229017 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (111205245409) 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 7 ways as a sum of consecutive naturals, for example, 8295920 + ... + 8309313.

It is an arithmetic number, because the mean of its divisors is an integer number (14355224793).

Almost surely, 2111205245401 is an apocalyptic number.

It is an amenable number.

111205245401 is a deficient number, since it is larger than the sum of its proper divisors (3636552943).

111205245401 is a wasteful number, since it uses less digits than its factorization.

111205245401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16605451.

The product of its (nonzero) digits is 1600, while the sum is 26.

Adding to 111205245401 its reverse (104542502111), we get a palindrome (215747747512).

The spelling of 111205245401 in words is "one hundred eleven billion, two hundred five million, two hundred forty-five thousand, four hundred one".

Divisors: 1 37 181 6697 16605233 614393621 3005547173 111205245401