Search a number
-
+
323212322210112 = 2632561132503837
BaseRepresentation
bin100100101111101011011101…
…1101001110000000101000000
31120101101210111110101011222200
41021133112323221300011000
5314331002313441210422
63103225405131433200
7125036214436001646
oct11137267351600500
91511353443334880
10323212322210112
1193a9263783a255
12303008688b5800
1310b46a393755aa
1459b57ba3a1196
1527577630782ac
hex125f5bba70140

323212322210112 has 42 divisors (see below), whose sum is σ = 926429763836538. Its totient is φ = 107737440736512.

The previous prime is 323212322210051. The next prime is 323212322210143. The reversal of 323212322210112 is 211012223212323.

323212322210112 is a `hidden beast` number, since 3 + 2 + 3 + 2 + 12 + 322 + 210 + 112 = 666.

It can be written as a sum of positive squares in only one way, i.e., 232013336576256 + 91198985633856 = 15231984^2 + 9549816^2 .

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 280566251343 + ... + 280566252494.

Almost surely, 2323212322210112 is an apocalyptic number.

323212322210112 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

323212322210112 is an abundant number, since it is smaller than the sum of its proper divisors (603217441626426).

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

323212322210112 is a wasteful number, since it uses less digits than its factorization.

323212322210112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 561132503855 (or 561132503842 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 323212322210112 its reverse (211012223212323), we get a palindrome (534224545422435).

The spelling of 323212322210112 in words is "three hundred twenty-three trillion, two hundred twelve billion, three hundred twenty-two million, two hundred ten thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 561132503837 1122265007674 1683397511511 2244530015348 3366795023022 4489060030696 5050192534533 6733590046044 8978120061392 10100385069066 13467180092088 17956240122784 20200770138132 26934360184176 35912480245568 40401540276264 53868720368352 80803080552528 107737440736704 161606161105056 323212322210112