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213232312193 is a prime number
BaseRepresentation
bin1100011010010110100…
…0101101111110000001
3202101101112012210101012
43012211220231332001
511443144432442233
6241542500250305
721256044514445
oct3064550557601
9671345183335
10213232312193
11824820991aa
12353ab0a0995
131715287c6c4
14a46b640825
15582eeb4548
hex31a5a2df81

213232312193 has 2 divisors, whose sum is σ = 213232312194. Its totient is φ = 213232312192.

The previous prime is 213232312177. The next prime is 213232312217. The reversal of 213232312193 is 391213232312.

213232312193 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., 160489974544 + 52742337649 = 400612^2 + 229657^2 .

It is a cyclic number.

It is not a de Polignac number, because 213232312193 - 24 = 213232312177 is a prime.

It is a super-3 number, since 3×2132323121933 (a number of 35 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (213232312133) 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, 106616156096 + 106616156097.

It is an arithmetic number, because the mean of its divisors is an integer number (106616156097).

Almost surely, 2213232312193 is an apocalyptic number.

It is an amenable number.

213232312193 is a deficient number, since it is larger than the sum of its proper divisors (1).

213232312193 is an equidigital number, since it uses as much as digits as its factorization.

213232312193 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 11664, while the sum is 32.

The spelling of 213232312193 in words is "two hundred thirteen billion, two hundred thirty-two million, three hundred twelve thousand, one hundred ninety-three".