Search a number
-
+
21683444242357 is a prime number
BaseRepresentation
bin1001110111000100100011…
…11111011101011110110101
32211202220202111210200220201
410323202101333131132311
510320230143211223412
6114041123050400501
74365401651002312
oct473422177353665
984686674720821
1021683444242357
1169aa995a96897
122522491730131
13c13980a881c1
1454d6accc9d09
15279081ecee57
hex13b891fdd7b5

21683444242357 has 2 divisors, whose sum is σ = 21683444242358. Its totient is φ = 21683444242356.

The previous prime is 21683444242333. The next prime is 21683444242381. The reversal of 21683444242357 is 75324244438612.

It is a balanced prime because it is at equal distance from previous prime (21683444242333) and next prime (21683444242381).

It can be written as a sum of positive squares in only one way, i.e., 20754165594276 + 929278648081 = 4555674^2 + 963991^2 .

It is a cyclic number.

It is not a de Polignac number, because 21683444242357 - 215 = 21683444209589 is a prime.

It is a super-3 number, since 3×216834442423573 (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 21683444242298 and 21683444242307.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (21683444242307) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10841722121178 + 10841722121179.

It is an arithmetic number, because the mean of its divisors is an integer number (10841722121179).

Almost surely, 221683444242357 is an apocalyptic number.

It is an amenable number.

21683444242357 is a deficient number, since it is larger than the sum of its proper divisors (1).

21683444242357 is an equidigital number, since it uses as much as digits as its factorization.

21683444242357 is an evil number, because the sum of its binary digits is even.

The product of its digits is 30965760, while the sum is 55.

The spelling of 21683444242357 in words is "twenty-one trillion, six hundred eighty-three billion, four hundred forty-four million, two hundred forty-two thousand, three hundred fifty-seven".