Search a number
-
+
211333100031149 is a prime number
BaseRepresentation
bin110000000011010011010010…
…010110110100110010101101
31000201021020200002202120021112
4300003103102112310302231
5210144440142101444044
62025245030314441405
762341212141200165
oct6003232226646255
91021236602676245
10211333100031149
11613789565858a8
121b85192b733265
1390bc819c12b85
143a2881034b5a5
1519673d3c8409e
hexc034d25b4cad

211333100031149 has 2 divisors, whose sum is σ = 211333100031150. Its totient is φ = 211333100031148.

The previous prime is 211333100031113. The next prime is 211333100031161. The reversal of 211333100031149 is 941130001333112.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 211211518801924 + 121581229225 = 14533118^2 + 348685^2 .

It is a cyclic number.

It is not a de Polignac number, because 211333100031149 - 28 = 211333100030893 is a prime.

It is a super-3 number, since 3×2113331000311493 (a number of 44 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (211333100031049) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105666550015574 + 105666550015575.

It is an arithmetic number, because the mean of its divisors is an integer number (105666550015575).

Almost surely, 2211333100031149 is an apocalyptic number.

It is an amenable number.

211333100031149 is a deficient number, since it is larger than the sum of its proper divisors (1).

211333100031149 is an equidigital number, since it uses as much as digits as its factorization.

211333100031149 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5832, while the sum is 32.

The spelling of 211333100031149 in words is "two hundred eleven trillion, three hundred thirty-three billion, one hundred million, thirty-one thousand, one hundred forty-nine".