Search a number
-
+
133222100311 is a prime number
BaseRepresentation
bin111110000010010100…
…1111110110101010111
3110201212110212220022101
41330010221332311113
54140314324202221
6141111255542531
712424240111546
oct1740451766527
9421773786271
10133222100311
1151554447853
122199b98aa47
13c7415b0771
14663b3a815d
1536eab79d91
hex1f04a7ed57

133222100311 has 2 divisors, whose sum is σ = 133222100312. Its totient is φ = 133222100310.

The previous prime is 133222100309. The next prime is 133222100321. The reversal of 133222100311 is 113001222331.

It is a weak prime.

It is an emirp because it is prime and its reverse (113001222331) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 133222100311 - 21 = 133222100309 is a prime.

It is a super-2 number, since 2×1332221003112 (a number of 23 digits) contains 22 as substring.

Together with 133222100309, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (133222100321) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 66611050155 + 66611050156.

It is an arithmetic number, because the mean of its divisors is an integer number (66611050156).

Almost surely, 2133222100311 is an apocalyptic number.

133222100311 is a deficient number, since it is larger than the sum of its proper divisors (1).

133222100311 is an equidigital number, since it uses as much as digits as its factorization.

133222100311 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 133222100311 its reverse (113001222331), we get a palindrome (246223322642).

The spelling of 133222100311 in words is "one hundred thirty-three billion, two hundred twenty-two million, one hundred thousand, three hundred eleven".