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112131312101 = 2915232538803
BaseRepresentation
bin110100001101110001…
…1000000100111100101
3101201102121211211221022
41220123203000213211
53314121103441401
6123302403100525
711046501266234
oct1503343004745
9351377754838
10112131312101
1143611225476
1219894671745
13a75cc2c023
1455da2a0b1b
152db429771b
hex1a1b8c09e5

112131312101 has 8 divisors (see below), whose sum is σ = 116074118880. Its totient is φ = 108193586032.

The previous prime is 112131312079. The next prime is 112131312151. The reversal of 112131312101 is 101213131211.

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-112131312101 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 112131312101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112131312151) 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 7 ways as a sum of consecutive naturals, for example, 1225235 + ... + 1313568.

It is an arithmetic number, because the mean of its divisors is an integer number (14509264860).

Almost surely, 2112131312101 is an apocalyptic number.

It is an amenable number.

112131312101 is a deficient number, since it is larger than the sum of its proper divisors (3942806779).

112131312101 is a wasteful number, since it uses less digits than its factorization.

112131312101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2540355.

The product of its (nonzero) digits is 36, while the sum is 17.

Adding to 112131312101 its reverse (101213131211), we get a palindrome (213344443312).

It can be divided in two parts, 11213131210 and 1, that added together give a palindrome (11213131211).

The spelling of 112131312101 in words is "one hundred twelve billion, one hundred thirty-one million, three hundred twelve thousand, one hundred one".

Divisors: 1 29 1523 44167 2538803 73625287 3866596969 112131312101