Search a number
-
+
102010222231323 = 3723789303210019
BaseRepresentation
bin10111001100011100011011…
…000011110011111100011011
3111101012002012210002112102220
4113030130123003303330123
5101332313413342400243
61000542503225355123
730325665255161100
oct2714343303637433
9441162183075386
10102010222231323
112a55a32405971a
12b536321038aa3
1344bc6a44369b3
141b2946d152aa7
15bbd7bee06783
hex5cc71b0f3f1b

102010222231323 has 48 divisors (see below), whose sum is σ = 162498744357120. Its totient is φ = 56715202966464.

The previous prime is 102010222231301. The next prime is 102010222231339. The reversal of 102010222231323 is 323132222010201.

It is not a de Polignac number, because 102010222231323 - 246 = 31641478053659 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102010222231293 and 102010222231302.

It is not an unprimeable number, because it can be changed into a prime (102010222231823) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 485614008 + ... + 485824026.

It is an arithmetic number, because the mean of its divisors is an integer number (3385390507440).

Almost surely, 2102010222231323 is an apocalyptic number.

102010222231323 is a deficient number, since it is larger than the sum of its proper divisors (60488522125797).

102010222231323 is a wasteful number, since it uses less digits than its factorization.

102010222231323 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299376 (or 299369 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 102010222231323 its reverse (323132222010201), we get a palindrome (425142444241524).

The spelling of 102010222231323 in words is "one hundred two trillion, ten billion, two hundred twenty-two million, two hundred thirty-one thousand, three hundred twenty-three".

Divisors: 1 3 7 21 37 49 111 147 259 777 1813 5439 89303 210019 267909 625121 630057 1470133 1875363 3304211 4375847 4410399 7770703 9912633 10290931 13127541 23129477 23312109 30872793 54394921 69388431 161906339 163184763 380764447 485719017 1142293341 18755326757 56265980271 131287287299 393861861897 693947090009 919011011093 2081841270027 2757033033279 4857629630063 14572888890189 34003407410441 102010222231323