Search a number
-
+
323010100320 = 2535672937709
BaseRepresentation
bin1001011001101001110…
…01101111110001100000
31010212202010111020100220
410230310321233301200
520243011041202240
6404215551243040
732223330360045
oct4546471576140
91125663436326
10323010100320
11114a95865236
1252727519480
13245c901619b
14118c30dd1cc
1586078165d0
hex4b34e6fc60

323010100320 has 48 divisors (see below), whose sum is σ = 1017481817520. Its totient is φ = 86136026624.

The previous prime is 323010100279. The next prime is 323010100321. The reversal of 323010100320 is 23001010323.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 323010100320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (323010100321) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 336468375 + ... + 336469334.

It is an arithmetic number, because the mean of its divisors is an integer number (21197537865).

Almost surely, 2323010100320 is an apocalyptic number.

323010100320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

323010100320 is an abundant number, since it is smaller than the sum of its proper divisors (694471717200).

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

323010100320 is a wasteful number, since it uses less digits than its factorization.

323010100320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 672937727 (or 672937719 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 323010100320 its reverse (23001010323), we get a palindrome (346011110643).

The spelling of 323010100320 in words is "three hundred twenty-three billion, ten million, one hundred thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 672937709 1345875418 2018813127 2691750836 3364688545 4037626254 5383501672 6729377090 8075252508 10094065635 10767003344 13458754180 16150505016 20188131270 21534006688 26917508360 32301010032 40376262540 53835016720 64602020064 80752525080 107670033440 161505050160 323010100320