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213841012 = 227112989269
BaseRepresentation
bin11001011111011…
…11010001110100
3112220101020201111
430233233101310
5414220403022
633115204404
75204422120
oct1457572164
9486336644
10213841012
11aa786a10
125b746704
13353c2258
1420586580
1513b90477
hexcbef474

213841012 has 96 divisors (see below), whose sum is σ = 489888000. Its totient is φ = 79242240.

The previous prime is 213841003. The next prime is 213841013. The reversal of 213841012 is 210148312.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213841013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 794814 + ... + 795082.

It is an arithmetic number, because the mean of its divisors is an integer number (5103000).

Almost surely, 2213841012 is an apocalyptic number.

213841012 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213841012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244944000).

213841012 is an abundant number, since it is smaller than the sum of its proper divisors (276046988).

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

213841012 is a wasteful number, since it uses less digits than its factorization.

213841012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

The square root of 213841012 is about 14623.3037306896. The cubic root of 213841012 is about 597.9942393825.

Adding to 213841012 its reverse (210148312), we get a palindrome (423989324).

The spelling of 213841012 in words is "two hundred thirteen million, eight hundred forty-one thousand, twelve".

Divisors: 1 2 4 7 11 14 22 28 29 44 58 77 89 116 154 178 203 269 308 319 356 406 538 623 638 812 979 1076 1246 1276 1883 1958 2233 2492 2581 2959 3766 3916 4466 5162 5918 6853 7532 7801 8932 10324 11836 13706 15602 18067 20713 23941 27412 28391 31204 36134 41426 47882 54607 56782 72268 82852 85811 95764 109214 113564 167587 171622 198737 218428 263351 335174 343244 397474 526702 600677 670348 694289 794948 1053404 1201354 1388578 1843457 2402708 2777156 3686914 4860023 7373828 7637179 9720046 15274358 19440092 30548716 53460253 106920506 213841012