Search a number
-
+
323212223202132 = 2231110922464013289
BaseRepresentation
bin100100101111101011011010…
…1110000000100001101010100
31120101101210020120002001120110
41021133112311300010031110
5314331002113114432012
63103225351233403020
7125036212124310645
oct11137266560041524
91511353216061513
10323212223202132
1193a92596966080
123030083b709470
1310b46a219bb4a4
1459b57ab18b6cc
15275775951c73c
hex125f5b5c04354

323212223202132 has 48 divisors (see below), whose sum is σ = 830269931198400. Its totient is φ = 97044537404160.

The previous prime is 323212223202097. The next prime is 323212223202139. The reversal of 323212223202132 is 231202322212323.

It is a happy number.

It is a super-2 number, since 2×3232122232021322 (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 323212223202132.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (323212223202139) 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 15 ways as a sum of consecutive naturals, for example, 11231992257 + ... + 11232021032.

It is an arithmetic number, because the mean of its divisors is an integer number (17297290233300).

Almost surely, 2323212223202132 is an apocalyptic number.

It is an amenable number.

323212223202132 is an abundant number, since it is smaller than the sum of its proper divisors (507057707996268).

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

323212223202132 is a wasteful number, since it uses less digits than its factorization.

323212223202132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22464013416 (or 22464013414 counting only the distinct ones).

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

Adding to 323212223202132 its reverse (231202322212323), we get a palindrome (554414545414455).

The spelling of 323212223202132 in words is "three hundred twenty-three trillion, two hundred twelve billion, two hundred twenty-three million, two hundred two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 109 132 218 327 436 654 1199 1308 2398 3597 4796 7194 14388 22464013289 44928026578 67392039867 89856053156 134784079734 247104146179 269568159468 494208292358 741312438537 988416584716 1482624877074 2448577448501 2965249754148 4897154897002 7345732345503 9794309794004 14691464691006 26934351933511 29382929382012 53868703867022 80803055800533 107737407734044 161606111601066 323212223202132