Search a number
-
+
2121113132197 is a prime number
BaseRepresentation
bin11110110111011100001…
…100011101110010100101
321111202222000120102202221
4132313130030131302211
5234223014430212242
64302231555432341
7306150106066603
oct36673414356245
97452860512687
102121113132197
1174861707a674
122a31045b56b1
13125035249837
147493b992873
153a295a60167
hex1eddc31dca5

2121113132197 has 2 divisors, whose sum is σ = 2121113132198. Its totient is φ = 2121113132196.

The previous prime is 2121113132167. The next prime is 2121113132227. The reversal of 2121113132197 is 7912313111212.

It is a balanced prime because it is at equal distance from previous prime (2121113132167) and next prime (2121113132227).

It can be written as a sum of positive squares in only one way, i.e., 1877774161761 + 243338970436 = 1370319^2 + 493294^2 .

It is a cyclic number.

It is not a de Polignac number, because 2121113132197 - 239 = 1571357318309 is a prime.

It is a super-3 number, since 3×21211131321973 (a number of 38 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2121113132107) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1060556566098 + 1060556566099.

It is an arithmetic number, because the mean of its divisors is an integer number (1060556566099).

Almost surely, 22121113132197 is an apocalyptic number.

It is an amenable number.

2121113132197 is a deficient number, since it is larger than the sum of its proper divisors (1).

2121113132197 is an equidigital number, since it uses as much as digits as its factorization.

2121113132197 is an evil number, because the sum of its binary digits is even.

The product of its digits is 4536, while the sum is 34.

The spelling of 2121113132197 in words is "two trillion, one hundred twenty-one billion, one hundred thirteen million, one hundred thirty-two thousand, one hundred ninety-seven".