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242420002002311 = 72172343753289193
BaseRepresentation
bin110111000111101011001110…
…000110110001010110000111
31011210100010101202021021202012
4313013223032012301112013
5223233302131003033221
62215330113403204435
7102030160432114100
oct6707531606612607
91153303352237665
10242420002002311
1170273822287a21
122323275421671b
13a536153655163
1443c12953d93a7
151d05d7969665b
hexdc7ace1b1587

242420002002311 has 48 divisors (see below), whose sum is σ = 311577180652224. Its totient is φ = 187057936429056.

The previous prime is 242420002002307. The next prime is 242420002002361. The reversal of 242420002002311 is 113200200024242.

It is not a de Polignac number, because 242420002002311 - 22 = 242420002002307 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242420002002361) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 838119131 + ... + 838408323.

It is an arithmetic number, because the mean of its divisors is an integer number (6491191263588).

Almost surely, 2242420002002311 is an apocalyptic number.

242420002002311 is a deficient number, since it is larger than the sum of its proper divisors (69157178649913).

242420002002311 is a wasteful number, since it uses less digits than its factorization.

242420002002311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333000 (or 332993 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

Adding to 242420002002311 its reverse (113200200024242), we get a palindrome (355620202026553).

The spelling of 242420002002311 in words is "two hundred forty-two trillion, four hundred twenty billion, two million, two thousand, three hundred eleven".

Divisors: 1 7 17 23 49 119 161 391 833 1127 2737 19159 43753 289193 306271 743801 1006319 2024351 2143897 4916281 5206607 6651439 7044233 14170457 17107423 34413967 36446249 46560073 49309631 113074463 119751961 240897769 325920511 791521241 838263727 5540648687 12653061329 88571429303 215102042593 291020410567 620000005121 1505714298151 2037142873969 4947346979639 10540000087057 14260000117783 34631428857473 242420002002311