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243133002320 = 24513233781733
BaseRepresentation
bin1110001001101111011…
…0110011001001010000
3212020120100122020012212
43202123312303021100
512440414022033240
6303405504011252
723365030264235
oct3423366631120
9766510566185
10243133002320
119412627225a
123b154900b28
1319c094b3160
14baa67d778c
1564d0023165
hex389bdb3250

243133002320 has 40 divisors (see below), whose sum is σ = 608767635336. Its totient is φ = 89772185088.

The previous prime is 243133002317. The next prime is 243133002337. The reversal of 243133002320 is 23200331342.

243133002320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1419179584 + 241713822736 = 37672^2 + 491644^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×2431330023202 (a number of 24 digits) contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 116889827 + ... + 116891906.

Almost surely, 2243133002320 is an apocalyptic number.

243133002320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

243133002320 is an abundant number, since it is smaller than the sum of its proper divisors (365634633016).

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

243133002320 is a wasteful number, since it uses less digits than its factorization.

243133002320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233781759 (or 233781753 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 23.

Adding to 243133002320 its reverse (23200331342), we get a palindrome (266333333662).

The spelling of 243133002320 in words is "two hundred forty-three billion, one hundred thirty-three million, two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 233781733 467563466 935126932 1168908665 1870253864 2337817330 3039162529 3740507728 4675634660 6078325058 9351269320 12156650116 15195812645 18702538640 24313300232 30391625290 48626600464 60783250580 121566501160 243133002320