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243121333240 = 23513146397201
BaseRepresentation
bin1110001001101100101…
…0010010001111111000
3212020112112200101020201
43202123022102033320
512440403030130430
6303404405531544
723364526143502
oct3423312221770
9766475611221
10243121333240
119411a722095
123b150a13bb4
1319c06c58986
14baa503ad72
1564cdeba8ca
hex389b2923f8

243121333240 has 32 divisors (see below), whose sum is σ = 551198759760. Its totient is φ = 96506176000.

The previous prime is 243121333237. The next prime is 243121333241. The reversal of 243121333240 is 42333121342.

It is a happy number.

243121333240 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 243121333199 and 243121333208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (243121333241) by changing a digit.

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, 23193361 + ... + 23203840.

Almost surely, 2243121333240 is an apocalyptic number.

243121333240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

243121333240 is an abundant number, since it is smaller than the sum of its proper divisors (308077426520).

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

243121333240 is a wasteful number, since it uses less digits than its factorization.

243121333240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46397343 (or 46397339 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 243121333240 its reverse (42333121342), we get a palindrome (285454454582).

The spelling of 243121333240 in words is "two hundred forty-three billion, one hundred twenty-one million, three hundred thirty-three thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 20 40 131 262 524 655 1048 1310 2620 5240 46397201 92794402 185588804 231986005 371177608 463972010 927944020 1855888040 6078033331 12156066662 24312133324 30390166655 48624266648 60780333310 121560666620 243121333240