Search a number
-
+
321300422340212 = 227127313747216101
BaseRepresentation
bin100100100001110001001010…
…1100010100010111001110100
31120010122000112212110122121002
41021003202111202202321310
5314103141231104341322
63055203213142142432
7124451121663152060
oct11103422542427164
91503560485418532
10321300422340212
1193415820143147
1230052211421a18
1310a38666146c23
14594b04837aaa0
152722b64742c92
hex12438958a2e74

321300422340212 has 96 divisors (see below), whose sum is σ = 648110596202496. Its totient is φ = 136521068544000.

The previous prime is 321300422340193. The next prime is 321300422340217. The reversal of 321300422340212 is 212043224003123.

It is a super-2 number, since 2×3213004223402122 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (321300422340217) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52663563962 + ... + 52663570062.

It is an arithmetic number, because the mean of its divisors is an integer number (6751152043776).

Almost surely, 2321300422340212 is an apocalyptic number.

It is an amenable number.

321300422340212 is an abundant number, since it is smaller than the sum of its proper divisors (326810173862284).

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

321300422340212 is a wasteful number, since it uses less digits than its factorization.

321300422340212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14097 (or 14095 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 29.

Adding to 321300422340212 its reverse (212043224003123), we get a palindrome (533343646343335).

The spelling of 321300422340212 in words is "three hundred twenty-one trillion, three hundred billion, four hundred twenty-two million, three hundred forty thousand, two hundred twelve".

Divisors: 1 2 4 7 14 28 127 254 508 889 1778 3137 3556 4721 6101 6274 9442 12202 12548 18884 21959 24404 33047 42707 43918 66094 85414 87836 132188 170828 398399 599567 774827 796798 1199134 1549654 1593596 2398268 2788793 3099308 4196969 5423789 5577586 8393938 10847578 11155172 14809777 16787876 19138837 21695156 28802821 29619554 38277674 57605642 59239108 76555348 103668439 115211284 133971859 201619747 207336878 267943718 403239494 414673756 535887436 806478988 1880841679 2430632299 3657958267 3761683358 4861264598 7315916534 7523366716 9722529196 13165891753 14631833068 17014426093 25605707869 26331783506 34028852186 51211415738 52663567012 68057704372 90354449477 102422831476 180708898954 361417797908 632481146339 1264962292678 2529924585356 11475015083579 22950030167158 45900060334316 80325105585053 160650211170106 321300422340212