Search a number
-
+
222130030213133 = 7323101278781497
BaseRepresentation
bin110010100000011010101101…
…100010110111100000001101
31002010111102102201201122102222
4302200122231202313200031
5213103334300213310013
62104233043243225125
764534236136406000
oct6240325542674015
91063442381648388
10222130030213133
11648608a9156929
1220ab63558181a5
1396c3a060297a3
143cbd217c23537
151aa31a2733508
hexca06ad8b780d

222130030213133 has 32 divisors (see below), whose sum is σ = 272982842841600. Its totient is φ = 180315871612800.

The previous prime is 222130030213129. The next prime is 222130030213253. The reversal of 222130030213133 is 331312030031222.

It is not a de Polignac number, because 222130030213133 - 22 = 222130030213129 is a prime.

It is a super-3 number, since 3×2221300302131333 (a number of 44 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222130030213103) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 138593960 + ... + 140187537.

It is an arithmetic number, because the mean of its divisors is an integer number (8530713838800).

Almost surely, 2222130030213133 is an apocalyptic number.

222130030213133 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

222130030213133 is a deficient number, since it is larger than the sum of its proper divisors (50852812628467).

222130030213133 is a wasteful number, since it uses less digits than its factorization.

222130030213133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278781642 (or 278781628 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 26.

Adding to 222130030213133 its reverse (331312030031222), we get a palindrome (553442060244355).

The spelling of 222130030213133 in words is "two hundred twenty-two trillion, one hundred thirty billion, thirty million, two hundred thirteen thousand, one hundred thirty-three".

Divisors: 1 7 23 49 101 161 343 707 1127 2323 4949 7889 16261 34643 113827 796789 278781497 1951470479 6411974431 13660293353 28156931197 44883821017 95622053471 197098518379 314186747119 647609417531 1379689628653 2199307229833 4533265922717 9657827400571 31732861459019 222130030213133