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113232066516 = 22323179922193
BaseRepresentation
bin110100101110100101…
…0000011011111010100
3101211021100002222010100
41221131022003133110
53323344402112031
6124003524054100
711115665453622
oct1513512033724
9354240088110
10113232066516
1144026605568
1219b41234330
13a8a6cb51ba
1456a2558512
152e2ac2bde6
hex1a5d2837d4

113232066516 has 36 divisors (see below), whose sum is σ = 287128449972. Its totient is φ = 37624952064.

The previous prime is 113232066511. The next prime is 113232066533. The reversal of 113232066516 is 615660232311.

113232066516 is a `hidden beast` number, since 1 + 132 + 3 + 2 + 0 + 6 + 6 + 516 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 45139251600 + 68092814916 = 212460^2 + 260946^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113232066511) 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 11 ways as a sum of consecutive naturals, for example, 4949685 + ... + 4972508.

It is an arithmetic number, because the mean of its divisors is an integer number (7975790277).

Almost surely, 2113232066516 is an apocalyptic number.

It is an amenable number.

113232066516 is an abundant number, since it is smaller than the sum of its proper divisors (173896383456).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

113232066516 is a wasteful number, since it uses less digits than its factorization.

113232066516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9922520 (or 9922515 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

Adding to 113232066516 its reverse (615660232311), we get a palindrome (728892298827).

The spelling of 113232066516 in words is "one hundred thirteen billion, two hundred thirty-two million, sixty-six thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 317 634 951 1268 1902 2853 3804 5706 11412 9922193 19844386 29766579 39688772 59533158 89299737 119066316 178599474 357198948 3145335181 6290670362 9436005543 12581340724 18872011086 28308016629 37744022172 56616033258 113232066516