Search a number
-
+
22501041241213 is a prime number
BaseRepresentation
bin1010001110110111011101…
…00100011111110001111101
32221200002010020210121021201
411013123232210133301331
510422124113024204323
6115504500255455501
74511434530555103
oct507335644376175
987602106717251
1022501041241213
1171957021a8247
122634a29227591
13c72aba612822
1457b0b0335c73
152904850c28ad
hex1476ee91fc7d

22501041241213 has 2 divisors, whose sum is σ = 22501041241214. Its totient is φ = 22501041241212.

The previous prime is 22501041241141. The next prime is 22501041241241. The reversal of 22501041241213 is 31214214010522.

It is a happy number.

It is an a-pointer prime, because the next prime (22501041241241) can be obtained adding 22501041241213 to its sum of digits (28).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 16295576621284 + 6205464619929 = 4036778^2 + 2491077^2 .

It is a cyclic number.

It is not a de Polignac number, because 22501041241213 - 233 = 22492451306621 is a prime.

It is a super-2 number, since 2×225010412412132 (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 (22501041242213) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11250520620606 + 11250520620607.

It is an arithmetic number, because the mean of its divisors is an integer number (11250520620607).

Almost surely, 222501041241213 is an apocalyptic number.

It is an amenable number.

22501041241213 is a deficient number, since it is larger than the sum of its proper divisors (1).

22501041241213 is an equidigital number, since it uses as much as digits as its factorization.

22501041241213 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3840, while the sum is 28.

Adding to 22501041241213 its reverse (31214214010522), we get a palindrome (53715255251735).

The spelling of 22501041241213 in words is "twenty-two trillion, five hundred one billion, forty-one million, two hundred forty-one thousand, two hundred thirteen".