Search a number
-
+
12342221530145 = 51317349229713933
BaseRepresentation
bin1011001110011010010110…
…1110101110010000100001
31121200220102122021002111022
42303212211232232100201
53104203332202431040
642125534401055225
72412460520016053
oct263464556562041
947626378232438
1012342221530145
113a29341324671
121474009027515
136b6b35900110
1430951c3718d3
151660b21376b5
hexb39a5bae421

12342221530145 has 64 divisors (see below), whose sum is σ = 16945159694400. Its totient is φ = 8549206622208.

The previous prime is 12342221530141. The next prime is 12342221530217. The reversal of 12342221530145 is 54103512224321.

12342221530145 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 32 ways, for example, as 2143249152256 + 10198972377889 = 1463984^2 + 3193583^2 .

It is a cyclic number.

It is not a de Polignac number, because 12342221530145 - 22 = 12342221530141 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12342221530141) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 885819599 + ... + 885833531.

It is an arithmetic number, because the mean of its divisors is an integer number (264768120225).

Almost surely, 212342221530145 is an apocalyptic number.

It is an amenable number.

12342221530145 is a deficient number, since it is larger than the sum of its proper divisors (4602938164255).

12342221530145 is a wasteful number, since it uses less digits than its factorization.

12342221530145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16614.

The product of its (nonzero) digits is 57600, while the sum is 35.

Adding to 12342221530145 its reverse (54103512224321), we get a palindrome (66445733754466).

The spelling of 12342221530145 in words is "twelve trillion, three hundred forty-two billion, two hundred twenty-one million, five hundred thirty thousand, one hundred forty-five".

Divisors: 1 5 13 17 65 85 221 349 1105 1745 2297 4537 5933 11485 13933 22685 29665 29861 39049 69665 77129 149305 181129 195245 236861 385645 507637 801653 905645 1184305 2538185 3079193 4008265 4862617 10421489 13628101 15395965 24313085 32004101 52107445 63214021 68140505 82664489 160020505 177165313 316070105 413322445 416053313 544069717 885826565 1074638357 2080266565 2720348585 5373191785 7072906321 11169431249 35364531605 55847156245 145202606237 189880331233 726013031185 949401656165 2468444306029 12342221530145