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234342020213301 = 371113373346163031
BaseRepresentation
bin110101010010001000000000…
…110111101110101000110101
31010201201212201022101112220010
4311102020000313232220311
5221203424424133311201
62150223123214530433
7100234436501613150
oct6522100067565065
91121655638345803
10234342020213301
1168739990143480
1222349078506a19
13a09b485aab5a0
1441c230005ac97
151c15b91520bd6
hexd52200deea35

234342020213301 has 128 divisors (see below), whose sum is σ = 430879506849792. Its totient is φ = 109329720192000.

The previous prime is 234342020213291. The next prime is 234342020213339. The reversal of 234342020213301 is 103312020243432.

It is a happy number.

It is not a de Polignac number, because 234342020213301 - 215 = 234342020180533 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234342020212301) 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, 3717853656 + ... + 3717916686.

It is an arithmetic number, because the mean of its divisors is an integer number (3366246147264).

Almost surely, 2234342020213301 is an apocalyptic number.

234342020213301 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

234342020213301 is a deficient number, since it is larger than the sum of its proper divisors (196537486636491).

234342020213301 is a wasteful number, since it uses less digits than its factorization.

234342020213301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96563.

The product of its (nonzero) digits is 20736, while the sum is 30.

Adding to 234342020213301 its reverse (103312020243432), we get a palindrome (337654040456733).

The spelling of 234342020213301 in words is "two hundred thirty-four trillion, three hundred forty-two billion, twenty million, two hundred thirteen thousand, three hundred one".

Divisors: 1 3 7 11 13 21 33 37 39 77 91 111 143 231 259 273 407 429 481 777 1001 1221 1443 2849 3003 3367 5291 8547 10101 15873 33461 37037 63031 100383 111111 189093 234227 368071 434993 441217 693341 702681 819403 1104213 1238057 1304979 1323651 2080023 2332147 2458209 2576497 3044951 3714171 4784923 4853387 5735821 6996441 7729491 8666399 9013433 9134853 13618627 14354769 14560161 16094741 16325029 17207463 25653617 25999197 27040299 30317911 33494461 40855881 48284223 48975087 63094031 76960851 90953733 95330389 100483383 112663187 177042151 179575319 189282093 212225377 285991167 333497021 337989561 531126453 538725957 636676131 1000491063 1239295057 2109080291 2334479147 3717885171 6327240873 7003437441 14763562037 23199883201 27418043783 44290686111 69599649603 78035970767 82254131349 162399182407 191926306481 234107912301 301598481613 487197547221 546251795369 575778919443 858395678437 904795444839 1014467619971 1638755386107 2111189371291 2575187035311 3043402859913 6008769749059 6333568113873 7101273339797 11159143819681 18026309247177 21303820019391 33477431459043 78114006737767 234342020213301