Search a number
-
+
320342012124 = 223174753630391
BaseRepresentation
bin1001010100101011101…
…11110011000011011100
31010121212012000022102120
410222111313303003130
520222030023341444
6403055121022540
732100242114211
oct4522567630334
91117765008376
10320342012124
11113946795072
1252101a84a50
1324292323984
141170ca15b08
1584ed486b19
hex4a95df30dc

320342012124 has 96 divisors (see below), whose sum is σ = 823523936256. Its totient is φ = 96505144320.

The previous prime is 320342012099. The next prime is 320342012147. The reversal of 320342012124 is 421210243023.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 320342012094 and 320342012103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 192969 + ... + 823359.

It is an arithmetic number, because the mean of its divisors is an integer number (8578374336).

Almost surely, 2320342012124 is an apocalyptic number.

320342012124 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 320342012124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411761968128).

320342012124 is an abundant number, since it is smaller than the sum of its proper divisors (503181924132).

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

320342012124 is a wasteful number, since it uses less digits than its factorization.

320342012124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 630515 (or 630513 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 320342012124 its reverse (421210243023), we get a palindrome (741552255147).

The spelling of 320342012124 in words is "three hundred twenty billion, three hundred forty-two million, twelve thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 12 17 34 47 51 53 68 94 102 106 141 159 188 204 212 282 318 564 636 799 901 1598 1802 2397 2491 2703 3196 3604 4794 4982 5406 7473 9588 9964 10812 14946 29892 42347 84694 127041 169388 254082 508164 630391 1260782 1891173 2521564 3782346 7564692 10716647 21433294 29628377 32149941 33410723 42866588 59256754 64299882 66821446 88885131 100232169 118513508 128599764 133642892 177770262 200464338 355540524 400928676 503682409 567982291 1007364818 1135964582 1511047227 1570303981 1703946873 2014729636 2271929164 3022094454 3140607962 3407893746 4710911943 6044188908 6281215924 6815787492 9421823886 18843647772 26695167677 53390335354 80085503031 106780670708 160171006062 320342012124