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2002111721 is a prime number
BaseRepresentation
bin111011101010101…
…1100110011101001
312011112022210221222
41313111130303221
513100020033341
6530400111425
7100420445261
oct16725346351
95145283858
102002111721
1193815a195
1247a605575
1325ba365bc
1414dc887a1
15bab7d44b
hex7755cce9

2002111721 has 2 divisors, whose sum is σ = 2002111722. Its totient is φ = 2002111720.

The previous prime is 2002111711. The next prime is 2002111763. The reversal of 2002111721 is 1271112002.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1206589696 + 795522025 = 34736^2 + 28205^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2002111721 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2002111721.

It is not a weakly prime, because it can be changed into another prime (2002111711) 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 as a sum of consecutive naturals, namely, 1001055860 + 1001055861.

It is an arithmetic number, because the mean of its divisors is an integer number (1001055861).

Almost surely, 22002111721 is an apocalyptic number.

It is an amenable number.

2002111721 is a deficient number, since it is larger than the sum of its proper divisors (1).

2002111721 is an equidigital number, since it uses as much as digits as its factorization.

2002111721 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 56, while the sum is 17.

The square root of 2002111721 is about 44744.9630796585. The cubic root of 2002111721 is about 1260.3643275416.

Adding to 2002111721 its reverse (1271112002), we get a palindrome (3273223723).

The spelling of 2002111721 in words is "two billion, two million, one hundred eleven thousand, seven hundred twenty-one".