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242123101321242 = 23333433712102511
BaseRepresentation
bin110111000011010110101101…
…011100100011100000011010
31011202021202001020020222022010
4313003112231130203200122
5223213421102414234432
62214541452303210350
7101666550110011611
oct6703265534434032
91152252036228263
10242123101321242
1170169915617929
12231a50b48a69b6
13a51415897359b
1443b0b6bb54878
151ced29e1493cc
hexdc35ad72381a

242123101321242 has 16 divisors (see below), whose sum is σ = 484246387884672. Its totient is φ = 80707669566720.

The previous prime is 242123101321217. The next prime is 242123101321247.

242123101321242 is nontrivially palindromic in base 10.

242123101321242 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (242123101321247) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13954767 + ... + 26057277.

It is an arithmetic number, because the mean of its divisors is an integer number (30265399242792).

Almost surely, 2242123101321242 is an apocalyptic number.

242123101321242 is an abundant number, since it is smaller than the sum of its proper divisors (242123286563430).

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

242123101321242 is a wasteful number, since it uses less digits than its factorization.

242123101321242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15436853.

The product of its (nonzero) digits is 9216, while the sum is 30.

It can be divided in two parts, 24212310 and 1321242, that added together give a palindrome (25533552).

The spelling of 242123101321242 in words is "two hundred forty-two trillion, one hundred twenty-three billion, one hundred one million, three hundred twenty-one thousand, two hundred forty-two".

Divisors: 1 2 3 6 3334337 6668674 10003011 12102511 20006022 24205022 36307533 72615066 40353850220207 80707700440414 121061550660621 242123101321242