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323320010100012 = 22321014191251116963
BaseRepresentation
bin100100110000011101100111…
…0010110011100110100101100
31120101210002110102010210120100
41021200323032112130310230
5314334233340041200022
63103351055004551100
7125050046153652432
oct11140731626346454
91511702412123510
10323320010100012
1194024278847872
1230319701252490
1310b53c3b84a1c3
1459baab4482d52
15275a4671ab1ac
hex1260ece59cd2c

323320010100012 has 144 divisors (see below), whose sum is σ = 827457799633920. Its totient is φ = 106436821392000.

The previous prime is 323320010100011. The next prime is 323320010100013. The reversal of 323320010100012 is 210001010023323.

323320010100012 is a `hidden beast` number, since 323 + 320 + 0 + 1 + 0 + 10 + 0 + 0 + 12 = 666.

It is an interprime number because it is at equal distance from previous prime (323320010100011) and next prime (323320010100013).

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

It is not an unprimeable number, because it can be changed into a prime (323320010100011) 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, 19060299843 + ... + 19060316805.

It is an arithmetic number, because the mean of its divisors is an integer number (5746234719680).

Almost surely, 2323320010100012 is an apocalyptic number.

It is an amenable number.

323320010100012 is an abundant number, since it is smaller than the sum of its proper divisors (504137789533908).

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

323320010100012 is a wasteful number, since it uses less digits than its factorization.

323320010100012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30004 (or 29999 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 323320010100012 its reverse (210001010023323), we get a palindrome (533321020123335).

The spelling of 323320010100012 in words is "three hundred twenty-three trillion, three hundred twenty billion, ten million, one hundred thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 101 202 303 404 419 606 838 909 1212 1257 1676 1818 2514 3636 3771 5028 7542 12511 15084 16963 25022 33926 37533 42319 50044 50889 67852 75066 84638 101778 112599 126957 150132 152667 169276 203556 225198 253914 305334 380871 450396 507828 610668 761742 1263611 1523484 1713263 2527222 3426526 3790833 5054444 5139789 5242109 6853052 7107497 7581666 10279578 10484218 11372499 14214994 15163332 15419367 15726327 20559156 20968436 21322491 22744998 28429988 30838734 31452654 42644982 45489996 47178981 61677468 62905308 63967473 85289964 94357962 127934946 188715924 212224093 255869892 424448186 529453009 636672279 717857197 848896372 1058906018 1273344558 1435714394 1588359027 1910016837 2117812036 2153571591 2546689116 2871428788 3176718054 3820033674 4307143182 4765077081 6353436108 6460714773 7640067348 8614286364 9530154162 12921429546 19060308324 21434633393 25842859092 42869266786 64303900179 85738533572 88921894967 128607800358 177843789934 192911700537 257215600716 266765684901 355687579868 385823401074 533531369802 771646802148 800297054703 1067062739604 1600594109406 3201188218812 8981111391667 17962222783334 26943334175001 35924445566668 53886668350002 80830002525003 107773336700004 161660005050006 323320010100012