Search a number
-
+
223233021131012 = 22293444975586181
BaseRepresentation
bin110010110000011101111100…
…111011010011100100000100
31002021101212110001201210011222
4302300131330323103210010
5213224422211402143022
62110435500102415512
765010024236461514
oct6260357473234404
91067355401653158
10223233021131012
1165146657834782
122105407b131598
139773a25659449
143d1a77060b844
151ac1c0aa82242
hexcb077ced3904

223233021131012 has 24 divisors (see below), whose sum is σ = 404129990593560. Its totient is φ = 107767333255680.

The previous prime is 223233021131011. The next prime is 223233021131047. The reversal of 223233021131012 is 210131120332322.

223233021131012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 111960396725956 + 111272624405056 = 10581134^2 + 10548584^2 .

It is a super-3 number, since 3×2232330211310123 (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (223233021131011) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37168562 + ... + 42754742.

It is an arithmetic number, because the mean of its divisors is an integer number (16838749608065).

Almost surely, 2223233021131012 is an apocalyptic number.

It is an amenable number.

223233021131012 is a deficient number, since it is larger than the sum of its proper divisors (180896969462548).

223233021131012 is a wasteful number, since it uses less digits than its factorization.

223233021131012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5930711 (or 5930709 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 26.

Adding to 223233021131012 its reverse (210131120332322), we get a palindrome (433364141463334).

The spelling of 223233021131012 in words is "two hundred twenty-three trillion, two hundred thirty-three billion, twenty-one million, one hundred thirty-one thousand, twelve".

Divisors: 1 2 4 29 58 116 344497 688994 1377988 5586181 9990413 11172362 19980826 22344724 39961652 161999249 323998498 647996996 1924422595957 3848845191914 7697690383828 55808255282753 111616510565506 223233021131012