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242501505105242 = 229611011022366383
BaseRepresentation
bin110111001000110111001000…
…000100011011110101011010
31011210121220202211201220100002
4313020313020010123311122
5223241121040301331432
62215431353053413002
7102036104235056015
oct6710671004336532
91153556684656302
10242501505105242
11702a53466a3529
12232464bb49a162
13a540a41cc7696
1443c51c7a4437c
151d08049ac3e62
hexdc8dc811bd5a

242501505105242 has 64 divisors (see below), whose sum is σ = 386294592706560. Its totient is φ = 113997543072000.

The previous prime is 242501505105229. The next prime is 242501505105361.

242501505105242 is nontrivially palindromic in base 10.

242501505105242 is digitally balanced in base 2, because in such base 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 = 242501505105196 and 242501505105205.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3653033183 + ... + 3653099565.

It is an arithmetic number, because the mean of its divisors is an integer number (6035853011040).

Almost surely, 2242501505105242 is an apocalyptic number.

242501505105242 is a deficient number, since it is larger than the sum of its proper divisors (143793087601318).

242501505105242 is a wasteful number, since it uses less digits than its factorization.

242501505105242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76799.

The product of its (nonzero) digits is 160000, while the sum is 38.

It can be divided in two parts, 24250150 and 5105242, that added together give a palindrome (29355392).

The spelling of 242501505105242 in words is "two hundred forty-two trillion, five hundred one billion, five hundred five million, one hundred five thousand, two hundred forty-two".

Divisors: 1 2 29 58 61 101 122 202 1769 2929 3538 5858 6161 10223 12322 20446 66383 132766 178669 296467 357338 592934 623603 1032523 1247206 1925107 2065046 3850214 4049363 6704683 8098726 13409366 18084487 29943167 36168974 59886334 62983903 117431527 125967806 194435807 234863054 388871614 408985663 678633409 817971326 1357266818 1826533187 3653066374 11860584227 19680368861 23721168454 39360737722 41396637949 68541974309 82793275898 137083948618 1200502500521 1987717254961 2401005001042 3975434509922 4181060432849 8362120865698 121250752552621 242501505105242