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213124122222 = 231125921532311
BaseRepresentation
bin1100011001111100110…
…0000000011001101110
3202101002222122011122020
43012133030000121232
511442434233402342
6241524033331010
721253262102004
oct3063714003156
9671088564566
10213124122222
1182427013500
123537aa06a66
131713632c17b
14a45b11aa74
1558257430ec
hex319f30066e

213124122222 has 96 divisors (see below), whose sum is σ = 476889396480. Its totient is φ = 63431491200.

The previous prime is 213124122191. The next prime is 213124122229. The reversal of 213124122222 is 222221421312.

It is a junction number, because it is equal to n+sod(n) for n = 213124122192 and 213124122201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213124122229) 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, 92220447 + ... + 92222757.

It is an arithmetic number, because the mean of its divisors is an integer number (4967597880).

Almost surely, 2213124122222 is an apocalyptic number.

213124122222 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 213124122222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238444698240).

213124122222 is an abundant number, since it is smaller than the sum of its proper divisors (263765274258).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

213124122222 is a wasteful number, since it uses less digits than its factorization.

213124122222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4550 (or 4539 counting only the distinct ones).

The product of its digits is 1536, while the sum is 24.

Adding to 213124122222 its reverse (222221421312), we get a palindrome (435345543534).

The spelling of 213124122222 in words is "two hundred thirteen billion, one hundred twenty-four million, one hundred twenty-two thousand, two hundred twenty-two".

Divisors: 1 2 3 6 11 22 33 59 66 118 121 177 242 354 363 649 726 1298 1947 2153 2311 3894 4306 4622 6459 6933 7139 12918 13866 14278 21417 23683 25421 42834 47366 50842 71049 76263 127027 136349 142098 152526 254054 260513 272698 279631 381081 409047 521026 559262 762162 781539 818094 838893 1397297 1499839 1563078 1677786 2794594 2999678 4191891 4499517 4975583 8383782 8999034 9951166 14926749 15370267 16498229 29853498 30740534 32996458 46110801 49494687 54731413 92221602 98989374 109462826 164194239 293559397 328388478 587118794 602045543 880678191 1204091086 1761356382 1806136629 3229153367 3612273258 6458306734 9687460101 19374920202 35520687037 71041374074 106562061111 213124122222