Search a number
-
+
10304455340205 = 3251317614453573
BaseRepresentation
bin1001010111110011000101…
…1001100111000010101101
31100111002121012200000100200
42111330301121213002231
52322312011031341310
633525445035344113
72112321003133665
oct225746131470255
940432535600320
1010304455340205
113313105448364
1211a50a52b2039
135999240250c0
14278a49c731a5
1512d09881c9c0
hex95f316670ad

10304455340205 has 24 divisors (see below), whose sum is σ = 19234983302808. Its totient is φ = 5072962628736.

The previous prime is 10304455340203. The next prime is 10304455340273. The reversal of 10304455340205 is 50204355440301.

10304455340205 is a `hidden beast` number, since 1 + 0 + 3 + 0 + 44 + 553 + 40 + 20 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 621224559684 + 9683230780521 = 788178^2 + 3111789^2 .

It is not a de Polignac number, because 10304455340205 - 21 = 10304455340203 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10304455340205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10304455340203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8807226202 + ... + 8807227371.

It is an arithmetic number, because the mean of its divisors is an integer number (801457637617).

Almost surely, 210304455340205 is an apocalyptic number.

10304455340205 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10304455340205 is a deficient number, since it is larger than the sum of its proper divisors (8930527962603).

10304455340205 is a wasteful number, since it uses less digits than its factorization.

10304455340205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17614453597 (or 17614453594 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

The spelling of 10304455340205 in words is "ten trillion, three hundred four billion, four hundred fifty-five million, three hundred forty thousand, two hundred five".

Divisors: 1 3 5 9 13 15 39 45 65 117 195 585 17614453573 52843360719 88072267865 158530082157 228987896449 264216803595 686963689347 792650410785 1144939482245 2060891068041 3434818446735 10304455340205