Search a number
-
+
102224413314 = 235210338299
BaseRepresentation
bin101111100110100001…
…1001100001010000010
3100202212012021020200000
41133031003030022002
53133323422211224
6114543343540430
710246134114342
oct1371503141202
9322765236600
10102224413314
113a39801a811
121798a8ba716
13984160b23a
144d3a654d22
1529d467a0c9
hex17cd0cc282

102224413314 has 24 divisors (see below), whose sum is σ = 229689423600. Its totient is φ = 34074804276.

The previous prime is 102224413309. The next prime is 102224413331. The reversal of 102224413314 is 413314422201.

102224413314 is a `hidden beast` number, since 10 + 2 + 224 + 413 + 3 + 14 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 105168664 + ... + 105169635.

It is an arithmetic number, because the mean of its divisors is an integer number (9570392650).

Almost surely, 2102224413314 is an apocalyptic number.

102224413314 is an abundant number, since it is smaller than the sum of its proper divisors (127465010286).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102224413314 is an equidigital number, since it uses as much as digits as its factorization.

102224413314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210338316 (or 210338304 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 102224413314 its reverse (413314422201), we get a palindrome (515538835515).

The spelling of 102224413314 in words is "one hundred two billion, two hundred twenty-four million, four hundred thirteen thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 18 27 54 81 162 243 486 210338299 420676598 631014897 1262029794 1893044691 3786089382 5679134073 11358268146 17037402219 34074804438 51112206657 102224413314