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2105420131 = 17479912659
BaseRepresentation
bin111110101111110…
…0010100101100011
312102201201102110101
41331133202211203
513302441421011
6544530243231
7103113530053
oct17537424543
95381642411
102105420131
11990500341
124a9126517
13277267c39
1415d89b563
15c4c882c1
hex7d7e2963

2105420131 has 16 divisors (see below), whose sum is σ = 2279854080. Its totient is φ = 1936725120.

The previous prime is 2105420117. The next prime is 2105420143. The reversal of 2105420131 is 1310245012.

It is a cyclic number.

It is not a de Polignac number, because 2105420131 - 27 = 2105420003 is a prime.

It is a super-2 number, since 2×21054201312 = 8865587856040114322, 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 = 2105420099 and 2105420108.

It is not an unprimeable number, because it can be changed into a prime (2105426131) 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, 790480 + ... + 793138.

It is an arithmetic number, because the mean of its divisors is an integer number (142490880).

Almost surely, 22105420131 is an apocalyptic number.

2105420131 is a deficient number, since it is larger than the sum of its proper divisors (174433949).

2105420131 is a wasteful number, since it uses less digits than its factorization.

2105420131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3714.

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 2105420131 is about 45884.8573169842. The cubic root of 2105420131 is about 1281.6799497256.

Adding to 2105420131 its reverse (1310245012), we get a palindrome (3415665143).

The spelling of 2105420131 in words is "two billion, one hundred five million, four hundred twenty thousand, one hundred thirty-one".

Divisors: 1 17 47 799 991 2659 16847 45203 46577 124973 791809 2124541 2635069 44796173 123848243 2105420131