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213003223129 is a prime number
BaseRepresentation
bin1100011001011111111…
…0110100000001011001
3202100210120010212021001
43012113332310001121
511442212311120004
6241504034145001
721250263344344
oct3062776640131
9670716125231
10213003223129
11823748481a4
1235346422161
131711727bc48
14a44904945b
155819d111a4
hex3197fb4059

213003223129 has 2 divisors, whose sum is σ = 213003223130. Its totient is φ = 213003223128.

The previous prime is 213003223127. The next prime is 213003223151. The reversal of 213003223129 is 921322300312.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 148980560400 + 64022662729 = 385980^2 + 253027^2 .

It is a cyclic number.

It is not a de Polignac number, because 213003223129 - 21 = 213003223127 is a prime.

Together with 213003223127, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 213003223097 and 213003223106.

It is not a weakly prime, because it can be changed into another prime (213003223127) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106501611564 + 106501611565.

It is an arithmetic number, because the mean of its divisors is an integer number (106501611565).

Almost surely, 2213003223129 is an apocalyptic number.

It is an amenable number.

213003223129 is a deficient number, since it is larger than the sum of its proper divisors (1).

213003223129 is an equidigital number, since it uses as much as digits as its factorization.

213003223129 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3888, while the sum is 28.

The spelling of 213003223129 in words is "two hundred thirteen billion, three million, two hundred twenty-three thousand, one hundred twenty-nine".