Search a number
-
+
212033020117 is a prime number
BaseRepresentation
bin1100010101111000100…
…1110010000011010101
3202021021221112102221011
43011132021302003111
511433220423120432
6241223455252221
721214242635212
oct3053611620325
9667257472834
10212033020117
1181a17126326
123511551a071
1316cc1275519
14a396256b09
1557aea68847
hex315e2720d5

212033020117 has 2 divisors, whose sum is σ = 212033020118. Its totient is φ = 212033020116.

The previous prime is 212033020063. The next prime is 212033020169. The reversal of 212033020117 is 711020330212.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 154512672561 + 57520347556 = 393081^2 + 239834^2 .

It is a cyclic number.

It is not a de Polignac number, because 212033020117 - 215 = 212032987349 is a prime.

It is a super-2 number, since 2×2120330201172 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (212033027117) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106016510058 + 106016510059.

It is an arithmetic number, because the mean of its divisors is an integer number (106016510059).

Almost surely, 2212033020117 is an apocalyptic number.

It is an amenable number.

212033020117 is a deficient number, since it is larger than the sum of its proper divisors (1).

212033020117 is an equidigital number, since it uses as much as digits as its factorization.

212033020117 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 504, while the sum is 22.

Adding to 212033020117 its reverse (711020330212), we get a palindrome (923053350329).

The spelling of 212033020117 in words is "two hundred twelve billion, thirty-three million, twenty thousand, one hundred seventeen".