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3120302020212 = 223213233281101833
BaseRepresentation
bin101101011010000000011…
…111100101011001110100
3102001022001012202002210100
4231122000133211121310
5402110334304121322
610345240313154100
7441301664361636
oct55320037453164
912038035662710
103120302020212
11aa3349165083
1242489a9bb930
13198321471750
14ab0483baa56
1556275ea6dac
hex2d6807e5674

3120302020212 has 144 divisors (see below), whose sum is σ = 8561053217808. Its totient is φ = 952560967680.

The previous prime is 3120302020201. The next prime is 3120302020217. The reversal of 3120302020212 is 2120202030213.

3120302020212 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 8 ways, for example, as 21589600356 + 3098712419856 = 146934^2 + 1760316^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3120302020217) 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, 30590448 + ... + 30692280.

It is an arithmetic number, because the mean of its divisors is an integer number (59451758457).

Almost surely, 23120302020212 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 3120302020212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4280526608904).

3120302020212 is an abundant number, since it is smaller than the sum of its proper divisors (5440751197596).

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

3120302020212 is a wasteful number, since it uses less digits than its factorization.

3120302020212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102370 (or 102365 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 3120302020212 its reverse (2120202030213), we get a palindrome (5240504050425).

The spelling of 3120302020212 in words is "three trillion, one hundred twenty billion, three hundred two million, twenty thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 233 234 281 466 468 562 699 843 932 1124 1398 1686 2097 2529 2796 3029 3372 3653 4194 5058 6058 7306 8388 9087 10116 10959 12116 14612 18174 21918 27261 32877 36348 43836 54522 65473 65754 101833 109044 130946 131508 196419 203666 261892 305499 392838 407332 589257 610998 785676 851149 916497 1178514 1221996 1323829 1702298 1832994 2357028 2553447 2647658 3404596 3665988 3971487 5106894 5295316 7660341 7942974 10213788 11914461 15320682 15885948 23727089 23828922 28615073 30641364 47454178 47657844 57230146 71181267 85845219 94908356 114460292 142362534 171690438 213543801 257535657 284725068 308452157 343380876 371995949 427087602 515071314 616904314 743991898 854175204 925356471 1030142628 1115987847 1233808628 1487983796 1850712942 2231975694 2776069413 3347963541 3701425884 4463951388 5552138826 6667312009 6695927082 11104277652 13334624018 13391854164 20001936027 26669248036 40003872054 60005808081 80007744108 86675056117 120011616162 173350112234 240023232324 260025168351 346700224468 520050336702 780075505053 1040100673404 1560151010106 3120302020212