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213112300212 = 22347131717289
BaseRepresentation
bin1100011001111001111…
…0111010001010110100
3202101002011101112220000
43012132132322022310
511442423222101322
6241522532111300
721253056443340
oct3063636721264
9671064345800
10213112300212
1182420379449
1235376a65530
1317133a501b6
14a459720620
1558246aa3ac
hex319e7ba2b4

213112300212 has 120 divisors (see below), whose sum is σ = 641567129280. Its totient is φ = 60424341120.

The previous prime is 213112300183. The next prime is 213112300243. The reversal of 213112300212 is 212003211312.

213112300212 is a `hidden beast` number, since 213 + 11 + 230 + 0 + 212 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 61537 + ... + 655752.

It is an arithmetic number, because the mean of its divisors is an integer number (5346392744).

Almost surely, 2213112300212 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213112300212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320783564640).

213112300212 is an abundant number, since it is smaller than the sum of its proper divisors (428454829068).

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

213112300212 is a wasteful number, since it uses less digits than its factorization.

213112300212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 717443 (or 717432 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 213112300212 its reverse (212003211312), we get a palindrome (425115511524).

The spelling of 213112300212 in words is "two hundred thirteen billion, one hundred twelve million, three hundred thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 131 162 189 252 262 324 378 393 524 567 756 786 917 1134 1179 1572 1834 2268 2358 2751 3537 3668 4716 5502 7074 8253 10611 11004 14148 16506 21222 24759 33012 42444 49518 74277 99036 148554 297108 717289 1434578 2151867 2869156 4303734 5021023 6455601 8607468 10042046 12911202 15063069 19366803 20084092 25822404 30126138 38733606 45189207 58100409 60252276 77467212 90378414 93964859 116200818 135567621 180756828 187929718 232401636 271135242 281894577 375859436 406702863 542270484 563789154 657754013 813405726 845683731 1127578308 1315508026 1626811452 1691367462 1973262039 2537051193 2631016052 3382734924 3946524078 5074102386 5919786117 7611153579 7893048156 10148204772 11839572234 15222307158 17759358351 23679144468 30444614316 35518716702 53278075053 71037433404 106556150106 213112300212