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4121205431 = 71989348163
BaseRepresentation
bin1111010110100100…
…1001101010110111
3101122012202221001012
43311221021222313
531420012033211
61520535422435
7204061445120
oct36551115267
911565687035
104121205431
111825349702
12970224a1b
13508a7b1c5
142b14a5047
15191c17d8b
hexf5a49ab7

4121205431 has 16 divisors (see below), whose sum is σ = 5013561600. Its totient is φ = 3308931648.

The previous prime is 4121205427. The next prime is 4121205461. The reversal of 4121205431 is 1345021214.

It is a cyclic number.

It is not a de Polignac number, because 4121205431 - 22 = 4121205427 is a prime.

It is a super-2 number, since 2×41212054312 = 33968668409007791522, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 4121205397 and 4121205406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4121205461) 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 15 ways as a sum of consecutive naturals, for example, 162245 + ... + 185918.

It is an arithmetic number, because the mean of its divisors is an integer number (313347600).

Almost surely, 24121205431 is an apocalyptic number.

4121205431 is a deficient number, since it is larger than the sum of its proper divisors (892356169).

4121205431 is a wasteful number, since it uses less digits than its factorization.

4121205431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348278.

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 4121205431 is about 64196.6154170140. The cubic root of 4121205431 is about 1603.2752480555.

Adding to 4121205431 its reverse (1345021214), we get a palindrome (5466226645).

The spelling of 4121205431 in words is "four billion, one hundred twenty-one million, two hundred five thousand, four hundred thirty-one".

Divisors: 1 7 19 89 133 623 1691 11837 348163 2437141 6615097 30986507 46305679 216905549 588743633 4121205431