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313023323131212 = 223192191569664879
BaseRepresentation
bin100011100101100010110101…
…1111110110100110101001100
31112001022201220121000221102010
41013023011223332310311030
5312012033231210144322
63025424532432301220
7122635121516550531
oct10713055376646514
91461281817027363
10313023323131212
119081449a451971
122b1360256a1810
1310587c85088895
1457425a4220d88
15262c6c588320c
hex11cb16bfb4d4c

313023323131212 has 144 divisors (see below), whose sum is σ = 776251336089600. Its totient is φ = 98158970983680.

The previous prime is 313023323131199. The next prime is 313023323131219. The reversal of 313023323131212 is 212131323320313.

It is a self number, because there is not a number n which added to its sum of digits gives 313023323131212.

It is not an unprimeable number, because it can be changed into a prime (313023323131219) 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, 470464989 + ... + 471129867.

It is an arithmetic number, because the mean of its divisors is an integer number (5390634278400).

Almost surely, 2313023323131212 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 313023323131212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388125668044800).

313023323131212 is an abundant number, since it is smaller than the sum of its proper divisors (463228012958388).

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

313023323131212 is a wasteful number, since it uses less digits than its factorization.

313023323131212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 665684 (or 665663 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 30.

Adding to 313023323131212 its reverse (212131323320313), we get a palindrome (525154646451525).

The spelling of 313023323131212 in words is "three hundred thirteen trillion, twenty-three billion, three hundred twenty-three million, one hundred thirty-one thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 191 228 361 382 569 573 722 764 1083 1138 1146 1444 1707 2166 2276 2292 3414 3629 4332 6828 7258 10811 10887 14516 21622 21774 32433 43244 43548 64866 68951 108679 129732 137902 205409 206853 217358 275804 326037 410818 413706 434716 616227 652074 664879 821636 827412 1232454 1304148 1329758 1994637 2064901 2464908 2659516 3989274 4129802 6194703 7978548 8259604 12389406 12632701 24778812 25265402 37898103 39233119 50530804 75796206 78466238 117699357 126991889 151592412 156932476 235398714 240021319 253983778 378316151 380975667 470797428 480042638 507967556 720063957 756632302 761951334 960085276 1134948453 1440127914 1513264604 1523902668 2269896906 2412845891 2880255828 4539793812 4825691782 7188006869 7238537673 9651383564 14376013738 14477075346 21564020607 28752027476 28954150692 43128041214 45844071929 72258384841 86256082428 91688143858 136572130511 137532215787 144516769682 183376287716 216775154523 273144261022 275064431574 289033539364 409716391533 433550309046 546288522044 550128863148 819432783066 867100618092 1372909311979 1638865566132 2745818623958 4118727935937 5491637247916 8237455871874 16474911743748 26085276927601 52170553855202 78255830782803 104341107710404 156511661565606 313023323131212