Search a number
-
+
323032003020 = 22345199402471
BaseRepresentation
bin1001011001101100011…
…01010011000111001100
31010212210122201000020000
410230312031103013030
520243032143044040
6404222052524300
732224014502236
oct4546615230714
91125718630200
10323032003020
11114aa7165041
1252732920690
132460071466c
14118c5da1256
1586096e1130
hex4b363531cc

323032003020 has 60 divisors (see below), whose sum is σ = 1013363362704. Its totient is φ = 86141867040.

The previous prime is 323032002989. The next prime is 323032003093. The reversal of 323032003020 is 20300230323.

323032003020 is a `hidden beast` number, since 323 + 0 + 320 + 0 + 3 + 0 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×3230320030202 (a number of 24 digits) contains 22 as substring.

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 = 323032002984 and 323032003002.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 99699616 + ... + 99702855.

Almost surely, 2323032003020 is an apocalyptic number.

323032003020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

323032003020 is an abundant number, since it is smaller than the sum of its proper divisors (690331359684).

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

323032003020 is a wasteful number, since it uses less digits than its factorization.

323032003020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199402492 (or 199402481 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 18.

Adding to 323032003020 its reverse (20300230323), we get a palindrome (343332233343).

The spelling of 323032003020 in words is "three hundred twenty-three billion, thirty-two million, three thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1620 199402471 398804942 598207413 797609884 997012355 1196414826 1794622239 1994024710 2392829652 2991037065 3589244478 3988049420 5383866717 5982074130 7178488956 8973111195 10767733434 11964148260 16151600151 17946222390 21535466868 26919333585 32303200302 35892444780 53838667170 64606400604 80758000755 107677334340 161516001510 323032003020