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112131034241 = 3724116577589
BaseRepresentation
bin110100001101110000…
…1111100110010000001
3101201102121022201210012
41220123201330302001
53314121021043431
6123302353114305
711046466031162
oct1503341746201
9351377281705
10112131034241
1143611055736
1219894558995
13a75cb62705
1455da22b769
152db424022b
hex1a1b87cc81

112131034241 has 16 divisors (see below), whose sum is σ = 115724487120. Its totient is φ = 108567889920.

The previous prime is 112131034219. The next prime is 112131034283. The reversal of 112131034241 is 142430131211.

It can be written as a sum of positive squares in 8 ways, for example, as 534950641 + 111596083600 = 23129^2 + 334060^2 .

It is a cyclic number.

It is not a de Polignac number, because 112131034241 - 218 = 112130772097 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (112131024241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14771675 + ... + 14779263.

It is an arithmetic number, because the mean of its divisors is an integer number (7232780445).

Almost surely, 2112131034241 is an apocalyptic number.

It is an amenable number.

112131034241 is a deficient number, since it is larger than the sum of its proper divisors (3593452879).

112131034241 is a wasteful number, since it uses less digits than its factorization.

112131034241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9524.

The product of its (nonzero) digits is 576, while the sum is 23.

Adding to 112131034241 its reverse (142430131211), we get a palindrome (254561165452).

The spelling of 112131034241 in words is "one hundred twelve billion, one hundred thirty-one million, thirty-four thousand, two hundred forty-one".

Divisors: 1 37 241 1657 7589 8917 61309 280793 399337 1828949 12574973 14775469 67671113 465274001 3030568493 112131034241