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234201034431221 = 112134143836910091
BaseRepresentation
bin110101010000000100101101…
…011101101001101011110101
31010201020101210202202202100112
4311100010231131221223311
5221144122204303244341
62150034245300152405
7100221315650340464
oct6520045535515365
91121211722682315
10234201034431221
1168695112367700
1222325890698705
13a08b0a7c19ab0
1441b95679429db
151c1218decaaeb
hexd5012d769af5

234201034431221 has 96 divisors (see below), whose sum is σ = 290659380359040. Its totient is φ = 187238886912000.

The previous prime is 234201034431209. The next prime is 234201034431257. The reversal of 234201034431221 is 122134430102432.

It is a happy number.

It is not a de Polignac number, because 234201034431221 - 246 = 163832290253557 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234201034431271) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23208897386 + ... + 23208907476.

It is an arithmetic number, because the mean of its divisors is an integer number (3027701878740).

Almost surely, 2234201034431221 is an apocalyptic number.

It is an amenable number.

234201034431221 is a deficient number, since it is larger than the sum of its proper divisors (56458345927819).

234201034431221 is a wasteful number, since it uses less digits than its factorization.

234201034431221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18579 (or 18568 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

Adding to 234201034431221 its reverse (122134430102432), we get a palindrome (356335464533653).

The spelling of 234201034431221 in words is "two hundred thirty-four trillion, two hundred one billion, thirty-four million, four hundred thirty-one thousand, two hundred twenty-one".

Divisors: 1 11 13 41 43 121 143 451 473 533 559 1573 1763 4961 5203 5863 6149 8369 10091 19393 22919 64493 67639 92059 108797 111001 131183 213323 252109 343129 359867 413731 433913 1012649 1196767 1221011 1443013 2773199 3774419 3958537 4460677 4551041 4678271 4773043 5378503 5640869 13164437 14754547 15873143 17790433 41518609 43543907 49067447 50061451 51460981 52503473 59163533 62049559 84451579 162300017 191809111 195694763 231275629 539741917 566070791 650798863 682545149 928967369 1097870527 1785300187 2109900221 2152642393 2544031919 3462514739 3631417897 10218641059 12076575797 23208902431 27984351109 38087662129 39945596867 45012691607 47208432661 132842333767 148888133777 418964283419 439401565537 495139607677 519292759271 1637769471547 1935545739101 5446535684447 5712220351981 18015464187017 21291003130111 234201034431221