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4130212200312 = 23311195127492917
BaseRepresentation
bin111100000110100011110…
…101001011111101111000
3112121211210120220211122210
4330012203311023331320
51020132133310402222
612441220541215120
7604253336310222
oct74064365137570
915554716824583
104130212200312
111352682126a60
125685678614a0
1323c628939783
14103c90a85412
1572682787d0c
hex3c1a3d4bf78

4130212200312 has 128 divisors (see below), whose sum is σ = 11277953280000. Its totient is φ = 1250054208000.

The previous prime is 4130212200307. The next prime is 4130212200371. The reversal of 4130212200312 is 2130022120314.

It is a congruent number.

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, 1415909478 + ... + 1415912394.

It is an arithmetic number, because the mean of its divisors is an integer number (88109010000).

Almost surely, 24130212200312 is an apocalyptic number.

It is an amenable number.

4130212200312 is an abundant number, since it is smaller than the sum of its proper divisors (7147741079688).

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

4130212200312 is a wasteful number, since it uses less digits than its factorization.

4130212200312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7637 (or 7633 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 4130212200312 its reverse (2130022120314), we get a palindrome (6260234320626).

The spelling of 4130212200312 in words is "four trillion, one hundred thirty billion, two hundred twelve million, two hundred thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 1951 2749 2917 3902 5498 5834 5853 7804 8247 8751 10996 11668 11706 15608 16494 17502 21461 21992 23336 23412 30239 32087 32988 35004 42922 46824 60478 64174 64383 65976 70008 85844 90717 96261 120956 128348 128766 171688 181434 192522 241912 256696 257532 362868 385044 515064 725736 770088 5363299 5691067 8018833 10726598 11382134 16037666 16089897 17073201 21453196 22764268 24056499 32075332 32179794 34146402 42906392 45528536 48112998 58996289 62601737 64150664 64359588 68292804 88207163 96225996 117992578 125203474 128719176 136585608 176414326 176988867 187805211 192451992 235985156 250406948 264621489 352828652 353977734 375610422 471970312 500813896 529242978 705657304 707955468 751220844 1058485956 1415910936 1502441688 2116971912 15644743183 31289486366 46934229549 62578972732 93868459098 125157945464 172092175013 187736918196 344184350026 375473836392 516276525039 688368700052 1032553050078 1376737400104 2065106100156 4130212200312