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231330100218 = 237179733110091
BaseRepresentation
bin1101011101110001011…
…0010011001111111010
3211010002210101200100120
43113130112103033322
512242231001201333
6254134354514110
722466401260030
oct3273426231772
9733083350316
10231330100218
118a1198a1208
12389bbb95936
1318a7812aa09
14b2a7044550
15603dc36db3
hex35dc5933fa

231330100218 has 128 divisors (see below), whose sum is σ = 567394523136. Its totient is φ = 61373030400.

The previous prime is 231330100217. The next prime is 231330100231. The reversal of 231330100218 is 812001033132.

It is not an unprimeable number, because it can be changed into a prime (231330100217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22919353 + ... + 22929443.

It is an arithmetic number, because the mean of its divisors is an integer number (4432769712).

Almost surely, 2231330100218 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 231330100218, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283697261568).

231330100218 is an abundant number, since it is smaller than the sum of its proper divisors (336064422918).

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

231330100218 is a wasteful number, since it uses less digits than its factorization.

231330100218 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10548.

The product of its (nonzero) digits is 864, while the sum is 24.

The spelling of 231330100218 in words is "two hundred thirty-one billion, three hundred thirty million, one hundred thousand, two hundred eighteen".

Divisors: 1 2 3 6 7 14 17 21 34 42 51 97 102 119 194 238 291 331 357 582 662 679 714 993 1358 1649 1986 2037 2317 3298 4074 4634 4947 5627 6951 9894 10091 11254 11543 13902 16881 20182 23086 30273 32107 33762 34629 39389 60546 64214 69258 70637 78778 96321 118167 141274 171547 192642 211911 224749 236334 343094 423822 449498 514641 545819 674247 978827 1029282 1091638 1200829 1348494 1637457 1957654 2401658 2936481 3274914 3340121 3602487 3820733 5872962 6680242 6851789 7204974 7641466 10020363 11462199 13703578 16640059 20040726 20555367 22924398 23380847 33280118 41110734 46761694 49920177 56782057 70142541 99840354 113564114 116480413 140285082 170346171 232960826 323991737 340692342 349441239 397474399 647983474 698882478 794948798 971975211 1192423197 1943950422 2267942159 2384846394 4535884318 5507859529 6803826477 11015719058 13607652954 16523578587 33047157174 38555016703 77110033406 115665050109 231330100218