Search a number
-
+
102224234212141 = 1723313783833197
BaseRepresentation
bin10111001111100011101111…
…001010101110101100101101
3111101221112121122101121002211
4113033203233022232230231
5101344320212424242031
61001225055341050421
730350312551043116
oct2717435712565455
9441845548347084
10102224234212141
112a632066261458
12b56b8a9256a11
13450691c69b082
141b3597214920d
15bc4148578bb1
hex5cf8ef2aeb2d

102224234212141 has 16 divisors (see below), whose sum is σ = 112943894932224. Its totient is φ = 92027551359744.

The previous prime is 102224234212123. The next prime is 102224234212183. The reversal of 102224234212141 is 141212432422201.

It is a cyclic number.

It is not a de Polignac number, because 102224234212141 - 215 = 102224234179373 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102224234216141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 122272555 + ... + 123105751.

It is an arithmetic number, because the mean of its divisors is an integer number (7058993433264).

Almost surely, 2102224234212141 is an apocalyptic number.

It is an amenable number.

102224234212141 is a deficient number, since it is larger than the sum of its proper divisors (10719660720083).

102224234212141 is a wasteful number, since it uses less digits than its factorization.

102224234212141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1147020.

The product of its (nonzero) digits is 12288, while the sum is 31.

Adding to 102224234212141 its reverse (141212432422201), we get a palindrome (243436666634342).

The spelling of 102224234212141 in words is "one hundred two trillion, two hundred twenty-four billion, two hundred thirty-four million, two hundred twelve thousand, one hundred forty-one".

Divisors: 1 17 23 391 313783 833197 5334311 7217009 14164349 19163531 122689153 325780027 261443054251 4444531922267 6013190247773 102224234212141