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112132100333 = 1126115191993
BaseRepresentation
bin110100001101110011…
…0000001000011101101
3101201102200022220012002
41220123212001003231
53314121304202313
6123302432022045
711046511061261
oct1503346010355
9351380286162
10112132100333
1143611713700
1219894991925
13a760146a36
1455da4280a1
152db43a1058
hex1a1b9810ed

112132100333 has 12 divisors (see below), whose sum is σ = 125273182524. Its totient is φ = 100267147200.

The previous prime is 112132100303. The next prime is 112132100387. The reversal of 112132100333 is 333001231211.

It can be written as a sum of positive squares in 2 ways, for example, as 2235209284 + 109896891049 = 47278^2 + 331507^2 .

It is not a de Polignac number, because 112132100333 - 214 = 112132083949 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112132100303) 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 11 ways as a sum of consecutive naturals, for example, 7588616 + ... + 7603377.

It is an arithmetic number, because the mean of its divisors is an integer number (10439431877).

Almost surely, 2112132100333 is an apocalyptic number.

It is an amenable number.

112132100333 is a deficient number, since it is larger than the sum of its proper divisors (13141082191).

112132100333 is a wasteful number, since it uses less digits than its factorization.

112132100333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15192076 (or 15192065 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 112132100333 its reverse (333001231211), we get a palindrome (445133331544).

The spelling of 112132100333 in words is "one hundred twelve billion, one hundred thirty-two million, one hundred thousand, three hundred thirty-three".

Divisors: 1 11 61 121 671 7381 15191993 167111923 926711573 1838231153 10193827303 112132100333