Search a number
-
+
323020311012 = 223273743977879
BaseRepresentation
bin1001011001101011000…
…00101100100111100100
31010212202211200222210200
410230311200230213210
520243021144423022
6404220554150500
732223513224610
oct4546540544744
91125684628720
10323020311012
11114aa05a9723
125272aa22430
13245cb17c909
14118c45da340
158608681bac
hex4b3582c9e4

323020311012 has 144 divisors (see below), whose sum is σ = 958730223360. Its totient is φ = 89765335296.

The previous prime is 323020310983. The next prime is 323020311017. The reversal of 323020311012 is 210113020323.

323020311012 is a `hidden beast` number, since 323 + 0 + 20 + 311 + 0 + 12 = 666.

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 (323020311017) 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, 40993689 + ... + 41001567.

Almost surely, 2323020311012 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 323020311012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479365111680).

323020311012 is an abundant number, since it is smaller than the sum of its proper divisors (635709912348).

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

323020311012 is a wasteful number, since it uses less digits than its factorization.

323020311012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12330 (or 12325 counting only the distinct ones).

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

Adding to 323020311012 its reverse (210113020323), we get a palindrome (533133331335).

The spelling of 323020311012 in words is "three hundred twenty-three billion, twenty million, three hundred eleven thousand, twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 37 42 63 74 84 111 126 148 222 252 259 333 444 518 666 777 1036 1332 1554 2331 3108 4397 4662 7879 8794 9324 13191 15758 17588 23637 26382 30779 31516 39573 47274 52764 55153 61558 70911 79146 92337 94548 110306 123116 141822 158292 162689 165459 184674 220612 277011 283644 291523 325378 330918 369348 488067 496377 554022 583046 650756 661836 874569 976134 992754 1108044 1138823 1166092 1464201 1749138 1952268 1985508 2040661 2277646 2623707 2928402 3416469 3498276 4081322 4555292 5247414 5856804 6121983 6832938 8162644 10249407 10494828 12243966 13665876 18365949 20498814 24487932 34643963 36731898 40997628 69287926 73463796 103931889 138575852 207863778 242507741 311795667 415727556 485015482 623591334 727523223 970030964 1247182668 1281826631 1455046446 2182569669 2563653262 2910092892 3845479893 4365139338 5127306524 7690959786 8730278676 8972786417 11536439679 15381919572 17945572834 23072879358 26918359251 35891145668 46145758716 53836718502 80755077753 107673437004 161510155506 323020311012