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2002211381 is a prime number
BaseRepresentation
bin111011101010111…
…0101001000110101
312011112111212200002
41313111311020311
513100031231011
6530402201045
7100421341652
oct16725651065
95145455602
102002211381
11938218055
1247a653185
1325ba6ca81
1414dcb2c29
15bab9cc3b
hex77575235

2002211381 has 2 divisors, whose sum is σ = 2002211382. Its totient is φ = 2002211380.

The previous prime is 2002211311. The next prime is 2002211383. The reversal of 2002211381 is 1831122002.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1403626225 + 598585156 = 37465^2 + 24466^2 .

It is a cyclic number.

It is not a de Polignac number, because 2002211381 - 230 = 928469557 is a prime.

It is a super-2 number, since 2×20022113812 = 8017700828411854322, which contains 22 as substring.

Together with 2002211383, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2002211383) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1001105690 + 1001105691.

It is an arithmetic number, because the mean of its divisors is an integer number (1001105691).

Almost surely, 22002211381 is an apocalyptic number.

It is an amenable number.

2002211381 is a deficient number, since it is larger than the sum of its proper divisors (1).

2002211381 is an equidigital number, since it uses as much as digits as its factorization.

2002211381 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 192, while the sum is 20.

The square root of 2002211381 is about 44746.0767107017. The cubic root of 2002211381 is about 1260.3852397653.

Adding to 2002211381 its reverse (1831122002), we get a palindrome (3833333383).

The spelling of 2002211381 in words is "two billion, two million, two hundred eleven thousand, three hundred eighty-one".