Search a number
-
+
230100233321112 = 233711196553321751
BaseRepresentation
bin110100010100011001100010…
…101010110111101010011000
31010011201100220220000002200220
4310110121202222313222120
5220124430234212233422
62133214330552400040
766316123200130020
oct6424314252675230
91104640826002626
10230100233321112
1167353a63011070
1221982b726a6020
139b5148866069b
1440b6ca7008a80
151b9067d7dee5c
hexd14662ab7a98

230100233321112 has 128 divisors (see below), whose sum is σ = 754942665830400. Its totient is φ = 56620699920000.

The previous prime is 230100233321107. The next prime is 230100233321141. The reversal of 230100233321112 is 211123332001032.

It is a super-2 number, since 2×2301002333211122 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 3276625764 + ... + 3276695987.

It is an arithmetic number, because the mean of its divisors is an integer number (5897989576800).

Almost surely, 2230100233321112 is an apocalyptic number.

230100233321112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

230100233321112 is an abundant number, since it is smaller than the sum of its proper divisors (524842432509288).

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

230100233321112 is a wasteful number, since it uses less digits than its factorization.

230100233321112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6553321797 (or 6553321793 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 230100233321112 its reverse (211123332001032), we get a palindrome (441223565322144).

The spelling of 230100233321112 in words is "two hundred thirty trillion, one hundred billion, two hundred thirty-three million, three hundred twenty-one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 11 12 14 19 21 22 24 28 33 38 42 44 56 57 66 76 77 84 88 114 132 133 152 154 168 209 228 231 264 266 308 399 418 456 462 532 616 627 798 836 924 1064 1254 1463 1596 1672 1848 2508 2926 3192 4389 5016 5852 8778 11704 17556 35112 6553321751 13106643502 19659965253 26213287004 39319930506 45873252257 52426574008 72086539261 78639861012 91746504514 124513113269 137619756771 144173078522 157279722024 183493009028 216259617783 249026226538 275239513542 288346157044 366986018056 373539339807 432519235566 498052453076 504605774827 550479027084 576692314088 747078679614 865038471132 871591792883 996104906152 1009211549654 1100958054168 1369644245959 1494157359228 1513817324481 1730076942264 1743183585766 2018423099308 2614775378649 2739288491918 2988314718456 3027634648962 3486367171532 4036846198616 4108932737877 5229550757298 5478576983836 6055269297924 6972734343064 8217865475754 9587509721713 10459101514596 10957153967672 12110538595848 16435730951508 19175019443426 20918203029192 28762529165139 32871461903016 38350038886852 57525058330278 76700077773704 115050116660556 230100233321112