Search a number
-
+
203423242320 = 2433594177427
BaseRepresentation
bin1011110101110011111…
…0000101100001010000
3201110001220201102011000
42331130332011201100
511313102322223240
6233241254022000
720461006013214
oct2753476054120
9643056642130
10203423242320
11792a9131891
1233512047900
131624b5c214c
149bba9bc944
155458c6d430
hex2f5cf85850

203423242320 has 80 divisors (see below), whose sum is σ = 700680064320. Its totient is φ = 54246197376.

The previous prime is 203423242307. The next prime is 203423242349. The reversal of 203423242320 is 23242324302.

It is a happy number.

203423242320 is a `hidden beast` number, since 2 + 0 + 3 + 4 + 232 + 423 + 2 + 0 = 666.

203423242320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 47086554 + ... + 47090873.

It is an arithmetic number, because the mean of its divisors is an integer number (8758500804).

Almost surely, 2203423242320 is an apocalyptic number.

203423242320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

203423242320 is an abundant number, since it is smaller than the sum of its proper divisors (497256822000).

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

203423242320 is a wasteful number, since it uses less digits than its factorization.

203423242320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94177449 (or 94177437 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 27.

Adding to 203423242320 its reverse (23242324302), we get a palindrome (226665566622).

The spelling of 203423242320 in words is "two hundred three billion, four hundred twenty-three million, two hundred forty-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 1080 2160 94177427 188354854 282532281 376709708 470887135 565064562 753419416 847596843 941774270 1130129124 1412661405 1506838832 1695193686 1883548540 2260258248 2542790529 2825322810 3390387372 3767097080 4237984215 4520516496 5085581058 5650645620 6780774744 7534194160 8475968430 10171162116 11301291240 12713952645 13561549488 16951936860 20342324232 22602582480 25427905290 33903873720 40684648464 50855810580 67807747440 101711621160 203423242320