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2010002131 = 23725312049
BaseRepresentation
bin111011111001110…
…0011001011010011
312012002011200120101
41313303203023103
513104030032011
6531241153231
7100544510344
oct16763431323
95162150511
102010002131
11941659395
1248118b817
13260569b97
14150d400cb
15bb6db2c1
hex77ce32d3

2010002131 has 8 divisors (see below), whose sum is σ = 2097856800. Its totient is φ = 1922186112.

The previous prime is 2010002069. The next prime is 2010002143. The reversal of 2010002131 is 1312000102.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2010002131 - 221 = 2007904979 is a prime.

It is a super-2 number, since 2×20100021312 = 8080217133249082322, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2010002231) 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 7 ways as a sum of consecutive naturals, for example, 160795 + ... + 172843.

It is an arithmetic number, because the mean of its divisors is an integer number (262232100).

Almost surely, 22010002131 is an apocalyptic number.

2010002131 is a deficient number, since it is larger than the sum of its proper divisors (87854669).

2010002131 is a wasteful number, since it uses less digits than its factorization.

2010002131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19325.

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 2010002131 is about 44833.0473088770. The cubic root of 2010002131 is about 1262.0178742164.

Adding to 2010002131 its reverse (1312000102), we get a palindrome (3322002233).

The spelling of 2010002131 in words is "two billion, ten million, two thousand, one hundred thirty-one".

Divisors: 1 23 7253 12049 166819 277127 87391397 2010002131