Search a number
-
+
33212122121197 is a prime number
BaseRepresentation
bin1111000110100110011001…
…01111011100001111101101
311100121001021220011021120101
413203103030233130033231
513323121411230334242
6154345234355551101
76665332230051445
oct743231457341755
9140531256137511
1033212122121197
11a645200110008
1238848945bb491
13156bb748103a6
1482b692291125
153c8dcbcd69b7
hex1e34ccbdc3ed

33212122121197 has 2 divisors, whose sum is σ = 33212122121198. Its totient is φ = 33212122121196.

The previous prime is 33212122121161. The next prime is 33212122121267. The reversal of 33212122121197 is 79112122121233.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 27533380695076 + 5678741426121 = 5247226^2 + 2383011^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-33212122121197 is a prime.

It is a super-2 number, since 2×332121221211972 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (33212122121897) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16606061060598 + 16606061060599.

It is an arithmetic number, because the mean of its divisors is an integer number (16606061060599).

Almost surely, 233212122121197 is an apocalyptic number.

It is an amenable number.

33212122121197 is a deficient number, since it is larger than the sum of its proper divisors (1).

33212122121197 is an equidigital number, since it uses as much as digits as its factorization.

33212122121197 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 18144, while the sum is 37.

The spelling of 33212122121197 in words is "thirty-three trillion, two hundred twelve billion, one hundred twenty-two million, one hundred twenty-one thousand, one hundred ninety-seven".