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3121130030312 = 23717103199915923
BaseRepresentation
bin101101011010110001110…
…110001100010011101000
3102001101011220210101010002
4231122301312030103220
5402114033241432222
610345454412242132
7441331340345360
oct55326166142350
912041156711102
103121130030312
11aa3733597348
12424a90170348
13198423b80958
14ab0c63579a0
15562c3a13392
hex2d6b1d8c4e8

3121130030312 has 128 divisors (see below), whose sum is σ = 7154334720000. Its totient is φ = 1246018526208.

The previous prime is 3121130030303. The next prime is 3121130030339. The reversal of 3121130030312 is 2130300311213.

3121130030312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×31211300303122 (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 196005983 + ... + 196021905.

It is an arithmetic number, because the mean of its divisors is an integer number (55893240000).

Almost surely, 23121130030312 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 3121130030312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3577167360000).

3121130030312 is an abundant number, since it is smaller than the sum of its proper divisors (4033204689688).

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

3121130030312 is a wasteful number, since it uses less digits than its factorization.

3121130030312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18055 (or 18051 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 3121130030312 its reverse (2130300311213), we get a palindrome (5251430341525).

The spelling of 3121130030312 in words is "three trillion, one hundred twenty-one billion, one hundred thirty million, thirty thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 17 28 34 56 68 103 119 136 206 238 412 476 721 824 952 1442 1751 1999 2884 3502 3998 5768 7004 7996 12257 13993 14008 15923 15992 24514 27986 31846 33983 49028 55972 63692 67966 98056 111461 111944 127384 135932 205897 222922 237881 270691 271864 411794 445844 475762 541382 823588 891688 951524 1082764 1441279 1640069 1647176 1894837 1903048 2165528 2882558 3280138 3500249 3789674 5765116 6560276 7000498 7579348 11480483 11530232 13120552 14000996 15158696 22960966 24501743 27881173 28001992 31830077 45921932 49003486 55762346 63660154 91843864 98006972 111524692 127320308 195168211 196013944 222810539 223049384 254640616 390336422 445621078 541111309 780672844 891242156 1082222618 1561345688 1782484312 2164445236 3278497931 3787779163 4328890472 6556995862 7575558326 13113991724 15151116652 22949485517 26227983448 30302233304 45898971034 55734464827 91797942068 111468929654 183595884136 222937859308 390141253789 445875718616 780282507578 1560565015156 3121130030312