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213532055101 is a prime number
BaseRepresentation
bin1100011011011110000…
…0001001011000111101
3202102011102020022100101
43012313200021120331
511444303201230401
6242032325001101
721266344343461
oct3066740113075
9672142208311
10213532055101
1182616307512
1235473553191
131719c9ba481
14a4993884a1
15584b472101
hex31b780963d

213532055101 has 2 divisors, whose sum is σ = 213532055102. Its totient is φ = 213532055100.

The previous prime is 213532055089. The next prime is 213532055167. The reversal of 213532055101 is 101550235312.

213532055101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 200837526201 + 12694528900 = 448149^2 + 112670^2 .

It is a cyclic number.

It is not a de Polignac number, because 213532055101 - 27 = 213532054973 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 213532055101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (213532055701) 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, 106766027550 + 106766027551.

It is an arithmetic number, because the mean of its divisors is an integer number (106766027551).

Almost surely, 2213532055101 is an apocalyptic number.

It is an amenable number.

213532055101 is a deficient number, since it is larger than the sum of its proper divisors (1).

213532055101 is an equidigital number, since it uses as much as digits as its factorization.

213532055101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4500, while the sum is 28.

The spelling of 213532055101 in words is "two hundred thirteen billion, five hundred thirty-two million, fifty-five thousand, one hundred one".