Search a number
-
+
103313132312333 is a prime number
BaseRepresentation
bin10111011111011001110110…
…100011010101011100001101
3111112210122020211021102100012
4113133121312203111130031
5102020140243332443313
61003421221530243005
730522061505140616
oct2737316643253415
9445718224242305
10103313132312333
112aa11942905839
12b70693ab86465
1345855043c1558
141b7254cdb8c0d
15be262955cda8
hex5df6768d570d

103313132312333 has 2 divisors, whose sum is σ = 103313132312334. Its totient is φ = 103313132312332.

The previous prime is 103313132312329. The next prime is 103313132312483. The reversal of 103313132312333 is 333213231313301.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 103298703978409 + 14428333924 = 10163597^2 + 120118^2 .

It is a cyclic number.

It is not a de Polignac number, because 103313132312333 - 22 = 103313132312329 is a prime.

It is a super-2 number, since 2×1033131323123332 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 103313132312333.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (103313132312233) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51656566156166 + 51656566156167.

It is an arithmetic number, because the mean of its divisors is an integer number (51656566156167).

Almost surely, 2103313132312333 is an apocalyptic number.

It is an amenable number.

103313132312333 is a deficient number, since it is larger than the sum of its proper divisors (1).

103313132312333 is an equidigital number, since it uses as much as digits as its factorization.

103313132312333 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 26244, while the sum is 32.

Adding to 103313132312333 its reverse (333213231313301), we get a palindrome (436526363625634).

The spelling of 103313132312333 in words is "one hundred three trillion, three hundred thirteen billion, one hundred thirty-two million, three hundred twelve thousand, three hundred thirty-three".