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223102013231031 = 31167103069979009
BaseRepresentation
bin110010101110100011111100…
…001111110100111110110111
31002020221100021220020220201020
4302232203330033310332313
5213220300410341343111
62110255352220432223
764664405603631324
oct6256437417647667
91066840256226636
10223102013231031
11650a603a236460
12210327b89a8673
139764577a0c9bc
143d142a3339b4b
151abd5de4cb906
hexcae8fc3f4fb7

223102013231031 has 32 divisors (see below), whose sum is σ = 329359014124800. Its totient is φ = 133193803438080.

The previous prime is 223102013230951. The next prime is 223102013231087. The reversal of 223102013231031 is 130132310201322.

It is not a de Polignac number, because 223102013231031 - 29 = 223102013230519 is a prime.

It is a super-3 number, since 3×2231020132310313 (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 223102013230992 and 223102013231010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223102013231731) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 227396055 + ... + 228375063.

It is an arithmetic number, because the mean of its divisors is an integer number (10292469191400).

Almost surely, 2223102013231031 is an apocalyptic number.

223102013231031 is a deficient number, since it is larger than the sum of its proper divisors (106257000893769).

223102013231031 is a wasteful number, since it uses less digits than its factorization.

223102013231031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1082159.

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 223102013231031 its reverse (130132310201322), we get a palindrome (353234323432353).

The spelling of 223102013231031 in words is "two hundred twenty-three trillion, one hundred two billion, thirteen million, two hundred thirty-one thousand, thirty-one".

Divisors: 1 3 11 33 67 201 737 2211 103069 309207 979009 1133759 2937027 3401277 6905623 10769099 20716869 32307297 65593603 75961853 196780809 227885559 721529633 2164588899 100905478621 302716435863 1109960264831 3329880794493 6760667067607 20282001202821 74367337743677 223102013231031