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202140304324341 = 323297316319144449
BaseRepresentation
bin101101111101100001110101…
…000010001011011011110101
3222111201102110100211001210120
4231331201311002023123311
5202443331320401334331
61553525550203042153
760402104116022055
oct5575416502133365
9874642410731716
10202140304324341
1159454249005699
121a80818ab10359
1388a39974683c6
1437cb9002bd565
1518581ee853796
hexb7d87508b6f5

202140304324341 has 128 divisors (see below), whose sum is σ = 298291617792000. Its totient is φ = 121356779765760.

The previous prime is 202140304324319. The next prime is 202140304324351. The reversal of 202140304324341 is 143423403041202.

It is not a de Polignac number, because 202140304324341 - 27 = 202140304324213 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202140304324351) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4547668485 + ... + 4547712933.

It is an arithmetic number, because the mean of its divisors is an integer number (2330403264000).

Almost surely, 2202140304324341 is an apocalyptic number.

It is an amenable number.

202140304324341 is a deficient number, since it is larger than the sum of its proper divisors (96151313467659).

202140304324341 is a wasteful number, since it uses less digits than its factorization.

202140304324341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44931.

The product of its (nonzero) digits is 55296, while the sum is 33.

Adding to 202140304324341 its reverse (143423403041202), we get a palindrome (345563707365543).

The spelling of 202140304324341 in words is "two hundred two trillion, one hundred forty billion, three hundred four million, three hundred twenty-four thousand, three hundred forty-one".

Divisors: 1 3 23 29 69 73 87 163 191 219 489 573 667 1679 2001 2117 3749 4393 4727 5037 5539 6351 11247 11899 13179 13943 14181 16617 31133 35697 41829 44449 48691 93399 108721 127397 133347 146073 273677 320689 326163 345071 382191 404347 716059 821031 902857 962067 1022327 1035213 1213041 1289021 2148177 2272709 2708571 3066981 3244777 3867063 6818127 7245187 7936633 8489759 9299981 9734331 20765711 21735561 23809899 25469277 27899943 29647483 52272307 62297133 65908561 74629871 88942449 94098533 156816921 166639301 195264457 197725683 210110423 223889613 246203011 282295599 499917903 528898651 585793371 619752407 630331269 738609033 1383830717 1515896903 1586695953 1859257221 2164266259 4151492151 4547690709 4832539729 5662669253 6492798777 12164668973 14254305361 14497619187 15338060879 16988007759 17972819803 31828106491 36494006919 40131090793 42762916083 46014182637 53918459409 95484319473 101019642341 120393272379 303058927023 352775400217 413374855469 923015088239 1058326200651 1240124566407 2323451773843 2769045264717 2929569627889 6970355321529 8788708883667 67380101441447 202140304324341