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112366001741 = 722293183709
BaseRepresentation
bin110100010100110001…
…0010001111001001101
3101202000222110022121012
41220221202101321031
53320111144023431
6123341545215005
711055351153500
oct1505142217115
9352028408535
10112366001741
1143721751254
121993b191465
13a799740a36
14561d513137
152dc9ba522b
hex1a29891e4d

112366001741 has 6 divisors (see below), whose sum is σ = 130711471470. Its totient is φ = 96313715736.

The previous prime is 112366001731. The next prime is 112366001807. The reversal of 112366001741 is 147100663211.

It can be written as a sum of positive squares in only one way, i.e., 105517777225 + 6848224516 = 324835^2 + 82754^2 .

It is not a de Polignac number, because 112366001741 - 214 = 112365985357 is a prime.

It is a super-3 number, since 3×1123660017413 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 112366001698 and 112366001707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112366001731) 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 5 ways as a sum of consecutive naturals, for example, 1146591806 + ... + 1146591903.

It is an arithmetic number, because the mean of its divisors is an integer number (21785245245).

Almost surely, 2112366001741 is an apocalyptic number.

It is an amenable number.

112366001741 is a deficient number, since it is larger than the sum of its proper divisors (18345469729).

112366001741 is an equidigital number, since it uses as much as digits as its factorization.

112366001741 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2293183723 (or 2293183716 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 32.

Adding to 112366001741 its reverse (147100663211), we get a palindrome (259466664952).

The spelling of 112366001741 in words is "one hundred twelve billion, three hundred sixty-six million, one thousand, seven hundred forty-one".

Divisors: 1 7 49 2293183709 16052285963 112366001741