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2124012000141 = 321740171356197
BaseRepresentation
bin11110111010001000111…
…110110001001110001101
321112001110001022012000100
4132322020332301032031
5234244434033001031
64303431352321313
7306311666053623
oct36721076611615
97461401265010
102124012000141
11749874445aa9
122a37933a3239
131253a79b2205
1474b34991513
153a3b52c8de6
hex1ee88fb138d

2124012000141 has 12 divisors (see below), whose sum is σ = 3068037226332. Its totient is φ = 1415998818816.

The previous prime is 2124012000133. The next prime is 2124012000157. The reversal of 2124012000141 is 1410002104212.

2124012000141 is a `hidden beast` number, since 21 + 2 + 401 + 200 + 0 + 1 + 41 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1556890044516 + 567121955625 = 1247754^2 + 753075^2 .

It is not a de Polignac number, because 2124012000141 - 23 = 2124012000133 is a prime.

It is a super-2 number, since 2×21240120001412 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2124012000841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 888055 + ... + 2244251.

It is an arithmetic number, because the mean of its divisors is an integer number (255669768861).

Almost surely, 22124012000141 is an apocalyptic number.

It is an amenable number.

2124012000141 is a deficient number, since it is larger than the sum of its proper divisors (944025226191).

2124012000141 is a wasteful number, since it uses less digits than its factorization.

2124012000141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1530220 (or 1530217 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 2124012000141 its reverse (1410002104212), we get a palindrome (3534014104353).

The spelling of 2124012000141 in words is "two trillion, one hundred twenty-four billion, twelve million, one hundred forty-one", and thus it is an aban number.

Divisors: 1 3 9 174017 522051 1356197 1566153 4068591 12205773 236001333349 708004000047 2124012000141