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20432100114 = 232173713912983
BaseRepresentation
bin10011000001110110…
…010001101100010010
31221201221121020011200
4103001312101230102
5313321104200424
613215242452030
71322216661666
oct230166215422
957657536150
1020432100114
11873542a258
123b62804016
131c0807808a
14dbb8448a6
157e8b708c9
hex4c1d91b12

20432100114 has 96 divisors (see below), whose sum is σ = 48490565760. Its totient is φ = 6191479296.

The previous prime is 20432100113. The next prime is 20432100181. The reversal of 20432100114 is 41100123402.

20432100114 is a `hidden beast` number, since 20 + 432 + 100 + 114 = 666.

20432100114 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (20432100113) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1567267 + ... + 1580249.

It is an arithmetic number, because the mean of its divisors is an integer number (505110060).

Almost surely, 220432100114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20432100114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24245282880).

20432100114 is an abundant number, since it is smaller than the sum of its proper divisors (28058465646).

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

20432100114 is a wasteful number, since it uses less digits than its factorization.

20432100114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13184 (or 13181 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 20432100114 its reverse (41100123402), we get a palindrome (61532223516).

The spelling of 20432100114 in words is "twenty billion, four hundred thirty-two million, one hundred thousand, one hundred fourteen".

Divisors: 1 2 3 6 9 17 18 34 37 51 74 102 111 139 153 222 278 306 333 417 629 666 834 1251 1258 1887 2363 2502 3774 4726 5143 5661 7089 10286 11322 12983 14178 15429 21267 25966 30858 38949 42534 46287 77898 87431 92574 116847 174862 220711 233694 262293 441422 480371 524586 662133 786879 960742 1324266 1441113 1573758 1804637 1986399 2882226 3609274 3972798 4323339 5413911 8166307 8646678 10827822 16241733 16332614 24498921 30678829 32483466 48997842 61357658 66771569 73496763 92036487 133543138 146993526 184072974 200314707 276109461 400629414 552218922 600944121 1135116673 1201888242 2270233346 3405350019 6810700038 10216050057 20432100114