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3121313031330 = 23513411091790863
BaseRepresentation
bin101101011010111100110…
…000010010010010100010
3102001101122200010210022120
4231122330300102102202
5402114422114000310
610345524510445110
7441336022003134
oct55327460222242
912041580123276
103121313031330
11aa381791975a
12424b21503796
13198452a65790
14ab102793054
15562d4b10b70
hex2d6bcc124a2

3121313031330 has 128 divisors (see below), whose sum is σ = 8339982013440. Its totient is φ = 742706288640.

The previous prime is 3121313031251. The next prime is 3121313031373. The reversal of 3121313031330 is 331303131213.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 3121313031330.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 847479 + ... + 2638341.

It is an arithmetic number, because the mean of its divisors is an integer number (65156109480).

Almost surely, 23121313031330 is an apocalyptic number.

3121313031330 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3121313031330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4169991006720).

3121313031330 is an abundant number, since it is smaller than the sum of its proper divisors (5218668982110).

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

3121313031330 is a wasteful number, since it uses less digits than its factorization.

3121313031330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1791036.

The product of its (nonzero) digits is 1458, while the sum is 24.

Adding to 3121313031330 its reverse (331303131213), we get a palindrome (3452616162543).

The spelling of 3121313031330 in words is "three trillion, one hundred twenty-one billion, three hundred thirteen million, thirty-one thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 41 65 78 82 109 123 130 195 205 218 246 327 390 410 533 545 615 654 1066 1090 1230 1417 1599 1635 2665 2834 3198 3270 4251 4469 5330 7085 7995 8502 8938 13407 14170 15990 21255 22345 26814 42510 44690 58097 67035 116194 134070 174291 290485 348582 580970 871455 1742910 1790863 3581726 5372589 8954315 10745178 17908630 23281219 26862945 46562438 53725890 69843657 73425383 116406095 139687314 146850766 195204067 220276149 232812190 349218285 367126915 390408134 440552298 585612201 698436570 734253830 954529979 976020335 1101380745 1171224402 1909059958 1952040670 2202761490 2537652871 2863589937 2928061005 4772649895 5075305742 5727179874 5856122010 7612958613 8003366747 9545299790 12688264355 14317949685 15225917226 16006733494 24010100241 25376528710 28635899370 38064793065 40016833735 48020200482 76129586130 80033667470 104043767711 120050501205 208087535422 240101002410 312131303133 520218838555 624262606266 1040437677110 1560656515665 3121313031330