Search a number
-
+
320300412120 = 233251368440259
BaseRepresentation
bin1001010100100110110…
…01000110110011011000
31010121202021201210221200
410222103121012303120
520221433401141440
6403051033234200
732066225403333
oct4522331066330
91117667653850
10320300412120
111139252613a7
12520abb62960
1324286819aa0
14117072a761a
1584e99bac30
hex4a93646cd8

320300412120 has 96 divisors (see below), whose sum is σ = 1121051458800. Its totient is φ = 78843177216.

The previous prime is 320300412023. The next prime is 320300412139. The reversal of 320300412120 is 21214003023.

320300412120 is a `hidden beast` number, since 320 + 300 + 4 + 1 + 21 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 320300412093 and 320300412102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34215450 + ... + 34224809.

Almost surely, 2320300412120 is an apocalyptic number.

320300412120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

320300412120 is an abundant number, since it is smaller than the sum of its proper divisors (800751046680).

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

320300412120 is a wasteful number, since it uses less digits than its factorization.

320300412120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68440289 (or 68440282 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 320300412120 its reverse (21214003023), we get a palindrome (341514415143).

The spelling of 320300412120 in words is "three hundred twenty billion, three hundred million, four hundred twelve thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 30 36 39 40 45 52 60 65 72 78 90 104 117 120 130 156 180 195 234 260 312 360 390 468 520 585 780 936 1170 1560 2340 4680 68440259 136880518 205320777 273761036 342201295 410641554 547522072 615962331 684402590 821283108 889723367 1026603885 1231924662 1368805180 1642566216 1779446734 2053207770 2463849324 2669170101 2737610360 3079811655 3558893468 4106415540 4448616835 4927698648 5338340202 6159623310 7117786936 8007510303 8212831080 8897233670 10676680404 12319246620 13345850505 16015020606 17794467340 21353360808 24638493240 26691701010 32030041212 35588934680 40037551515 53383402020 64060082424 80075103030 106766804040 160150206060 320300412120