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242323441133301 = 321119312682443143
BaseRepresentation
bin110111000110010001010010…
…101000010010011011110101
31011202222220011020221220022100
4313012101102220102123311
5223230211401412231201
62215213504012452313
7102020201525221413
oct6706212250223365
91152886136856270
10242323441133301
1170236881184940
1223217aa617a099
13a52a0054bc688
1443ba7350102b3
151d035c7343886
hexdc6452a126f5

242323441133301 has 24 divisors (see below), whose sum is σ = 383821459310016. Its totient is φ = 146101744995840.

The previous prime is 242323441133251. The next prime is 242323441133329. The reversal of 242323441133301 is 103331144323242.

242323441133301 is a `hidden beast` number, since 2 + 4 + 2 + 3 + 2 + 344 + 1 + 1 + 3 + 3 + 301 = 666.

It is not a de Polignac number, because 242323441133301 - 27 = 242323441133173 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242323441133351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6341202465 + ... + 6341240678.

It is an arithmetic number, because the mean of its divisors is an integer number (15992560804584).

Almost surely, 2242323441133301 is an apocalyptic number.

It is an amenable number.

242323441133301 is a deficient number, since it is larger than the sum of its proper divisors (141498018176715).

242323441133301 is a wasteful number, since it uses less digits than its factorization.

242323441133301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12682443353 (or 12682443350 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 36.

Adding to 242323441133301 its reverse (103331144323242), we get a palindrome (345654585456543).

The spelling of 242323441133301 in words is "two hundred forty-two trillion, three hundred twenty-three billion, four hundred forty-one million, one hundred thirty-three thousand, three hundred one".

Divisors: 1 3 9 11 33 99 193 579 1737 2123 6369 19107 12682443143 38047329429 114141988287 139506874573 418520623719 1255561871157 2447711526599 7343134579797 22029403739391 26924826792589 80774480377767 242323441133301