Search a number
-
+
321420033102234 = 231119377411934753
BaseRepresentation
bin100100100010101000110111…
…0111001011001000110011010
31120011001110021202012220222010
41021011101232321121012122
5314112121211433232414
63055334154052010350
7124462555024644633
oct11105215671310632
91504043252186863
10321420033102234
119346151a312a90
12300714329009b6
1310a46a187ba361
145952b53b2088a
152725d1545d959
hex124546ee5919a

321420033102234 has 128 divisors (see below), whose sum is σ = 758243729157120. Its totient is φ = 89767599667200.

The previous prime is 321420033102199. The next prime is 321420033102239. The reversal of 321420033102234 is 432201330024123.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (321420033102239) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 343388202 + ... + 344322954.

It is an arithmetic number, because the mean of its divisors is an integer number (5923779134040).

Almost surely, 2321420033102234 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 321420033102234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379121864578560).

321420033102234 is an abundant number, since it is smaller than the sum of its proper divisors (436823696054886).

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

321420033102234 is a wasteful number, since it uses less digits than its factorization.

321420033102234 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 942236.

The product of its (nonzero) digits is 20736, while the sum is 30.

Adding to 321420033102234 its reverse (432201330024123), we get a palindrome (753621363126357).

The spelling of 321420033102234 in words is "three hundred twenty-one trillion, four hundred twenty billion, thirty-three million, one hundred two thousand, two hundred thirty-four".

Divisors: 1 2 3 6 11 19 22 33 37 38 57 66 74 111 114 209 222 407 418 627 703 814 1221 1254 1406 2109 2442 4218 7411 7733 14822 15466 22233 23199 44466 46398 81521 140809 163042 244563 274207 281618 422427 489126 548414 822621 844854 934753 1548899 1645242 1869506 2804259 3016277 3097798 4646697 5209933 5608518 6032554 9048831 9293394 10282283 10419866 15629799 17760307 18097662 20564566 30846849 31259598 34585861 35520614 53280921 57309263 61693698 69171722 103757583 106561842 114618526 171927789 195363377 207515166 343855578 380444471 390726754 586090131 657131359 760888942 1141333413 1172180262 1314262718 1971394077 2282666826 3942788154 6927454483 7228444949 13854908966 14456889898 20782363449 21685334847 41564726898 43370669694 76201999313 131621635177 152403998626 228605997939 256315815871 263243270354 394864905531 457211995878 512631631742 768947447613 789729811062 1447837986947 1537894895226 2819473974581 2895675973894 4343513960841 4870000501549 5638947949162 8458421923743 8687027921682 9740001003098 14610001504647 16916843847486 29220003009294 53570005517039 107140011034078 160710016551117 321420033102234