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2002112929 is a prime number
BaseRepresentation
bin111011101010101…
…1101000110100001
312011112022212121201
41313111131012201
513100020103204
6530400121201
7100420451635
oct16725350641
95145285551
102002112929
11938160093
1247a606201
1325ba3700b
1414dc88dc5
15bab7d9a4
hex7755d1a1

2002112929 has 2 divisors, whose sum is σ = 2002112930. Its totient is φ = 2002112928.

The previous prime is 2002112927. The next prime is 2002112953. The reversal of 2002112929 is 9292112002.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1643086225 + 359026704 = 40535^2 + 18948^2 .

It is a cyclic number.

It is not a de Polignac number, because 2002112929 - 21 = 2002112927 is a prime.

Together with 2002112927, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 2002112897 and 2002112906.

It is not a weakly prime, because it can be changed into another prime (2002112921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1001056464 + 1001056465.

It is an arithmetic number, because the mean of its divisors is an integer number (1001056465).

Almost surely, 22002112929 is an apocalyptic number.

It is an amenable number.

2002112929 is a deficient number, since it is larger than the sum of its proper divisors (1).

2002112929 is an equidigital number, since it uses as much as digits as its factorization.

2002112929 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1296, while the sum is 28.

The square root of 2002112929 is about 44744.9765783825. The cubic root of 2002112929 is about 1260.3645810272.

The spelling of 2002112929 in words is "two billion, two million, one hundred twelve thousand, nine hundred twenty-nine".