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30231302211306 = 2347591094145389
BaseRepresentation
bin1101101111110110001100…
…00001111000011011101010
310222001002021102121112110000
412313323012001320123222
512430302201331230211
6144144022444203430
76240065564632410
oct667730601703352
9128032242545400
1030231302211306
1196a6028a73979
123483041b39576
1313b3a51853b41
147672ba8112b0
153765bb352656
hex1b7ec60786ea

30231302211306 has 160 divisors (see below), whose sum is σ = 79452202896000. Its totient is φ = 8413214179968.

The previous prime is 30231302211233. The next prime is 30231302211307. The reversal of 30231302211306 is 60311220313203.

30231302211306 is a `hidden beast` number, since 3 + 0 + 2 + 3 + 130 + 221 + 1 + 306 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 30231302211306.

It is not an unprimeable number, because it can be changed into a prime (30231302211307) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5220060 + ... + 9365448.

It is an arithmetic number, because the mean of its divisors is an integer number (496576268100).

Almost surely, 230231302211306 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30231302211306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39726101448000).

30231302211306 is an abundant number, since it is smaller than the sum of its proper divisors (49220900684694).

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

30231302211306 is a wasteful number, since it uses less digits than its factorization.

30231302211306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4145578 (or 4145569 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 30231302211306 its reverse (60311220313203), we get a palindrome (90542522524509).

The spelling of 30231302211306 in words is "thirty trillion, two hundred thirty-one billion, three hundred two million, two hundred eleven thousand, three hundred six".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 59 63 81 109 118 126 162 177 189 218 327 354 378 413 531 567 654 763 826 981 1062 1134 1239 1526 1593 1962 2289 2478 2943 3186 3717 4578 4779 5886 6431 6867 7434 8829 9558 11151 12862 13734 17658 19293 20601 22302 33453 38586 41202 45017 57879 61803 66906 90034 115758 123606 135051 173637 270102 347274 405153 520911 810306 1041822 1215459 2430918 3646377 4145389 7292754 8290778 12436167 24872334 29017723 37308501 58035446 74617002 87053169 111925503 174106338 223851006 244577951 261159507 335776509 451847401 489155902 522319014 671553018 733733853 783478521 903694802 1355542203 1467467706 1566957042 1712045657 2201201559 2350435563 2711084406 3162931807 3424091314 4066626609 4402403118 4700871126 5136136971 6325863614 6603604677 8133253218 9488795421 10272273942 12199879827 13207209354 15408410913 18977590842 19810814031 24399759654 26658996659 28466386263 30816821826 36599639481 39621628062 46225232739 53317993318 56932772526 73199278962 79976989977 85399158789 92450465478 138675698217 159953979954 170798317578 186612976613 239930969931 256197476367 277351396434 373225953226 479861939862 512394952734 559838929839 719792909793 1119677859678 1439585819586 1679516789517 2159378729379 3359033579034 4318757458758 5038550368551 10077100737102 15115651105653 30231302211306