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231222212133 = 311210120893019
BaseRepresentation
bin1101011101010111101…
…0101111011000100101
3211002211021101101201120
43113111322233120211
512242020341242013
6254115542244153
722463621242353
oct3272572573045
9732737341646
10231222212133
118a073a02300
123898ba26659
1318a5b984a03
14b29699c7d3
156034525123
hex35d5eaf625

231222212133 has 48 divisors (see below), whose sum is σ = 342503515200. Its totient is φ = 138634848000.

The previous prime is 231222212113. The next prime is 231222212173. The reversal of 231222212133 is 331212222132.

It is not a de Polignac number, because 231222212133 - 221 = 231220114981 is a prime.

It is a super-2 number, since 2×2312222121332 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231222212113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 76587498 + ... + 76590516.

It is an arithmetic number, because the mean of its divisors is an integer number (7135489900).

Almost surely, 2231222212133 is an apocalyptic number.

It is an amenable number.

231222212133 is a deficient number, since it is larger than the sum of its proper divisors (111281303067).

231222212133 is a wasteful number, since it uses less digits than its factorization.

231222212133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5234 (or 5223 counting only the distinct ones).

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

Adding to 231222212133 its reverse (331212222132), we get a palindrome (562434434265).

Subtracting 231222212133 from its reverse (331212222132), we obtain a palindrome (99990009999).

It can be divided in two parts, 2312 and 22212133, that added together give a triangular number (22214445 = T6665).

The spelling of 231222212133 in words is "two hundred thirty-one billion, two hundred twenty-two million, two hundred twelve thousand, one hundred thirty-three".

Divisors: 1 3 11 33 101 121 303 363 1111 2089 3019 3333 6267 9057 12221 22979 33209 36663 68937 99627 210989 252769 304919 365299 632967 758307 914757 1095897 2320879 3354109 6306691 6962637 10062327 18920073 25529669 36895199 69373601 76589007 110685597 208120803 636975791 763109611 1910927373 2289328833 7006733701 21020201103 77074070711 231222212133