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242112400213304 = 231092715527185371
BaseRepresentation
bin110111000011001100101111…
…100111000100010100111000
31011202020201102110020100220002
4313003030233213010110320
5223213232143423311204
62214532522353252132
7101666020660052315
oct6703145747042470
91152221373210802
10242112400213304
1170165324077075
12231a3008b64048
13a51314194965a
1443b0434849d0c
151cecd7494a91e
hexdc332f9c4538

242112400213304 has 64 divisors (see below), whose sum is σ = 459901703500800. Its totient is φ = 119480722876800.

The previous prime is 242112400213279. The next prime is 242112400213309. The reversal of 242112400213304 is 403312004211242.

242112400213304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242112400213309) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1306003739 + ... + 1306189109.

It is an arithmetic number, because the mean of its divisors is an integer number (7185964117200).

Almost surely, 2242112400213304 is an apocalyptic number.

It is an amenable number.

242112400213304 is a deficient number, since it is larger than the sum of its proper divisors (217789303287496).

242112400213304 is a wasteful number, since it uses less digits than its factorization.

242112400213304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191284 (or 191280 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 29.

Adding to 242112400213304 its reverse (403312004211242), we get a palindrome (645424404424546).

The spelling of 242112400213304 in words is "two hundred forty-two trillion, one hundred twelve billion, four hundred million, two hundred thirteen thousand, three hundred four".

Divisors: 1 2 4 8 109 218 271 436 542 872 1084 2168 5527 11054 22108 29539 44216 59078 118156 185371 236312 370742 602443 741484 1204886 1482968 1497817 2409772 2995634 4819544 5991268 11982536 20205439 40410878 50235541 80821756 100471082 161643512 163262053 200942164 326524106 401884328 653048212 1024545517 1306096424 2049091034 4098182068 5475673969 8196364136 10951347938 21902695876 43805391752 111675461353 223350922706 277651835107 446701845412 555303670214 893403690824 1110607340428 2221214680856 30264050026663 60528100053326 121056200106652 242112400213304